The document discusses independent and repeated samples. An independent sample involves collecting data from two unrelated groups, like ACT scores from Texas students and national students. A repeated sample involves collecting data from the same group on multiple occasions, like measuring vocabulary test scores of the same group of younger and older people. The key to independent samples is that the members of one group cannot be part of the other, while repeated samples involve measuring the same individuals in each group.
The document discusses independent and dependent variables in statistics. It explains that the independent variable is the cause or influencer in a study, such as amount of study time or amount of sleep, while the dependent variable is the effect or what is being influenced, such as test scores. It provides examples of how to identify the independent and dependent variables in studies and word problems about viral infections, background noise, and more.
The document discusses dependent variables in statistics problems. It explains that the dependent variable is the "effect" side of a cause-and-effect relationship, or the "influenced" side of an influencer-influenced relationship. Several examples are provided to demonstrate how to identify the dependent variable in word problems involving research studies. The dependent variable is the main outcome or variable being measured in response to changes in other variables. Problems can have either a single dependent variable or multiple dependent variables.
The document discusses questions of independence, which examine whether changes in one variable are related to or independent of changes in another variable. It provides examples of determining if two variables, such as number of cigarette packs smoked per day and cognitive impairment, or anger survey scores and number of racing accidents, are independent. The goal is to analyze data sets to see if higher or lower scores on one variable are unrelated to groups or values on the other variable.
The document discusses four types of inferential statistical methods, beginning with questions of difference. Questions of difference ask if one group is different from, similar to, or comparable to another group based on some outcome. Examples are provided, including comparing driving speed between women and men, and texting while driving between teenagers and adults. The document also provides an example comparing three groups: tweens, teenagers, and college freshmen in terms of time spent on electronics. Finally, an example is given of looking at similarities between two groups by comparing GRE verbal scores of a sample of graduate students to the national average.
Null hypothesis for a single-sample t-test Ken Plummer
The document discusses the null hypothesis for a single-sample t-test. The null hypothesis states that there is no statistically significant difference between the sample and the population from which it was drawn. Researchers conducting a single-sample t-test hope to fail to reject the null hypothesis, meaning the sample is representative of the larger population and results from experiments on the sample could generalize to the population. An example is given of a null hypothesis for a single-sample t-test comparing ACT scores of 30 local teenagers to the overall population of ACT scores.
The document discusses questions of relationship, which focus on how variables co-vary or correlate with each other. It provides an equation to show that an increase or decrease in variable 1 is accompanied by an increase or decrease in variable 2. As an example, researchers hypothesize that as temperature increases, burglaries increase. Monthly temperature and burglary data is presented and ranked to illustrate that the relative ranks of the two variables are the same, showing a direct relationship between temperature and burglaries.
Null hypothesis for Single Sample Z TestKen Plummer
The document discusses null hypotheses for single sample z-tests for proportions. It provides a template for a null hypothesis, which is that there is no statistically significant difference between the population proportion and the sample proportion. Two examples are given: one about commuting rates in Dallas where the null hypothesis is that there is no difference between the population proportion of Dallas citizens who commute to work and those in a sample survey. A second example is about university retention rates, where the null hypothesis is that there is no difference between the 4% retention rate goal and the 5% rate found in a sample of 352 students.
The document describes how to report a partial correlation in APA format. It provides a template for reporting that there is a significant positive partial correlation of .82 between intense fanaticism for a professional sports team and proximity to the city the team resides when controlling for age, with a p-value of .000.
The document discusses independent and dependent variables in statistics. It explains that the independent variable is the cause or influencer in a study, such as amount of study time or amount of sleep, while the dependent variable is the effect or what is being influenced, such as test scores. It provides examples of how to identify the independent and dependent variables in studies and word problems about viral infections, background noise, and more.
The document discusses dependent variables in statistics problems. It explains that the dependent variable is the "effect" side of a cause-and-effect relationship, or the "influenced" side of an influencer-influenced relationship. Several examples are provided to demonstrate how to identify the dependent variable in word problems involving research studies. The dependent variable is the main outcome or variable being measured in response to changes in other variables. Problems can have either a single dependent variable or multiple dependent variables.
The document discusses questions of independence, which examine whether changes in one variable are related to or independent of changes in another variable. It provides examples of determining if two variables, such as number of cigarette packs smoked per day and cognitive impairment, or anger survey scores and number of racing accidents, are independent. The goal is to analyze data sets to see if higher or lower scores on one variable are unrelated to groups or values on the other variable.
The document discusses four types of inferential statistical methods, beginning with questions of difference. Questions of difference ask if one group is different from, similar to, or comparable to another group based on some outcome. Examples are provided, including comparing driving speed between women and men, and texting while driving between teenagers and adults. The document also provides an example comparing three groups: tweens, teenagers, and college freshmen in terms of time spent on electronics. Finally, an example is given of looking at similarities between two groups by comparing GRE verbal scores of a sample of graduate students to the national average.
Null hypothesis for a single-sample t-test Ken Plummer
The document discusses the null hypothesis for a single-sample t-test. The null hypothesis states that there is no statistically significant difference between the sample and the population from which it was drawn. Researchers conducting a single-sample t-test hope to fail to reject the null hypothesis, meaning the sample is representative of the larger population and results from experiments on the sample could generalize to the population. An example is given of a null hypothesis for a single-sample t-test comparing ACT scores of 30 local teenagers to the overall population of ACT scores.
The document discusses questions of relationship, which focus on how variables co-vary or correlate with each other. It provides an equation to show that an increase or decrease in variable 1 is accompanied by an increase or decrease in variable 2. As an example, researchers hypothesize that as temperature increases, burglaries increase. Monthly temperature and burglary data is presented and ranked to illustrate that the relative ranks of the two variables are the same, showing a direct relationship between temperature and burglaries.
Null hypothesis for Single Sample Z TestKen Plummer
The document discusses null hypotheses for single sample z-tests for proportions. It provides a template for a null hypothesis, which is that there is no statistically significant difference between the population proportion and the sample proportion. Two examples are given: one about commuting rates in Dallas where the null hypothesis is that there is no difference between the population proportion of Dallas citizens who commute to work and those in a sample survey. A second example is about university retention rates, where the null hypothesis is that there is no difference between the 4% retention rate goal and the 5% rate found in a sample of 352 students.
The document describes how to report a partial correlation in APA format. It provides a template for reporting that there is a significant positive partial correlation of .82 between intense fanaticism for a professional sports team and proximity to the city the team resides when controlling for age, with a p-value of .000.
Reporting a two sample z test for proportionsKen Plummer
The document provides a template for reporting the results of a two-sample z-test for proportions. It includes an example comparing the proportion of birth defects between residents exposed to contaminated well water (16 defects from 414 births, or 4%) and residents not exposed (3 defects from 228 births). The z-test results show residents exposed to contaminated water had a statistically significantly higher rate of birth defects (z = 2.35, p = .001).
The document discusses conducting a factorial analysis of variance (ANOVA) to analyze the effects of two independent variables, athlete type (football, basketball, soccer players) and age (adults vs teenagers), on the dependent variable of number of slices of pizza consumed. It outlines setting up a 2x3 factorial design to compare the six groups that results from the two independent variables, each with multiple levels, and determining that a factorial ANOVA is the appropriate statistical analysis for this research question and study design.
A study investigated whether adults report verbally presented material more accurately from their right or left ear using a dichotic listening task. The data were positively skewed, so a non-parametric Wilcoxon test was used. The Wilcoxon test ranked the differences between each participant's left and right ear scores, ignoring signs. It summed the ranks for positive and negative differences separately. The smaller sum was the test statistic W, which was compared to a critical value from a table to determine significance. W was smaller than the critical value, so there was a significant difference between recall from the right and left ears.
The document discusses different scales of measurement used in research. There are four main scales: nominal, ordinal, interval, and ratio. Nominal scales use numbers to replace categories or names and assume no quantitative relationship between numbers. Ordinal scales represent relative quantities of attributes but intervals between numbers are not equal. Interval and ratio scales both assume equal intervals but ratio scales have a true zero point.
The document discusses different types of relationships between variables in data sets:
- Dichotomous by dichotomous data examines the relationship between two variables that can only take two values each, like gender and artichoke preference.
- Dichotomous by scaled data looks at the relationship between a dichotomous variable and a scaled variable, such as age group and hours of sleep.
- Ordinal by another variable considers the relationship when one variable ranks items but the intervals between ranks are unequal, like pole vaulting placements.
Advance Statistics - Wilcoxon Signed Rank TestJoshua Batalla
The Wilcoxon signed-rank test is a non-parametric test used to compare two related samples, such as repeated measurements on a single sample, to assess whether their population mean ranks differ. It can be used as a non-parametric alternative to the paired Student's t-test when the population cannot be assumed to be normally distributed. The test involves ranking the differences between pairs of observations and comparing the sum of the ranks of the positive differences to what would be expected if there was no effect. The document provides information on the requirements, formula, and an example application of the Wilcoxon signed-rank test.
Null hypothesis for a chi-square goodness of fit testKen Plummer
The document discusses how to write a null hypothesis for a chi-square goodness of fit test. It provides an example of a poll that surveyed voters in Connecticut on their party affiliation (Republican or Democrat). The expected distribution was 40% Republican and 60% Democrat. The null hypothesis is stated as: The party affiliation of Republican/Democrat occur at a .4/.6 probability in Connecticut.
Is this a central tendency - spread - symmetry questionKen Plummer
The document discusses distributions and the three types of questions that can be asked about them: central tendency, spread, and distribution shape. It uses a data set of students' study hours to illustrate what a distribution is, with hours of study on the x-axis and number of occurrences on the y-axis. Central tendency questions ask about the point or area where scores in the distribution predominantly cluster.
This document provides guidance on reporting the results of a single sample t-test in APA format. It includes templates for describing the test and population in the introduction and reporting the mean, standard deviation, t-value and significance in the results. An example is given of a hypothetical single sample t-test comparing IQ scores of people who eat broccoli regularly to the general population.
Reporting chi square goodness of fit test of independence in apaKen Plummer
A chi-square goodness of fit test was used to analyze data from a public opinion poll of 1000 voters in Connecticut on their party affiliation. The expected distribution was 40% Republican and 60% Democrat, but the observed results were 32% Republican and 68% Democrat. A sample report in APA style for these results includes the chi-square value, degrees of freedom, and p-value to determine if there is a significant deviation from the expected distribution.
This document discusses descriptive and inferential statistics. Descriptive statistics describe what is occurring in an entire population, using words like "all" or "everyone". Inferential statistics draw conclusions about a larger population based on a sample, since observing the entire population is often not feasible. The document provides examples to illustrate the difference, such as determining average test scores for all students versus using a sample of scores to estimate averages for an entire state.
The document presents 4 problems and classifies each as a different statistical question type: difference, goodness of fit, relationship, or independence. The problems involve classifying high school athletes' pizza consumption, the distribution of baseball cards in packs, the relationship between professors' years of teaching and publishing with income, and whether government funding of studies is independent of the studies' political perspectives. For each problem, the document explains the classification and provides a rationale.
The document discusses levels in statistics and provides examples to illustrate the concept. Levels refer to the number of conditions within an independent variable. The number of levels determines the appropriate statistical analysis method. Examples are provided of studies with different numbers of levels, such as socioeconomic status having 4 levels (wealthy, upper middle class, lower middle class, below poverty line) while gender has 2 levels (male, female). Visual representations are given to depict levels within independent variables. The document concludes by restating that levels indicate the number of conditions in an independent variable and that determining the number of levels is important for selecting the correct statistical analysis.
Calculating a two sample z test by handKen Plummer
The document describes how to calculate a two-sample z-test by hand to determine if there is a statistically significant difference between the reported anxiety symptoms of patients taking a new anti-anxiety medication versus a placebo. It provides the formula for the z-statistic and walks through calculating it step-by-step for a sample problem where 64 out of 200 patients taking the medication reported anxiety symptoms compared to 92 out of 200 patients taking the placebo. The calculated z-statistic is then compared to critical values to determine whether to reject or fail to reject the null hypothesis that there is no difference between the groups.
The document discusses the null hypothesis for a one-way repeated measures ANOVA. It states that the null hypothesis is that there is no significant difference between the dependent variable when measured at different time points or levels of the independent variable. It provides examples of null hypotheses for experiments measuring laughter during different television networks and apple production from an orchard over three years. The null hypothesis would state that there is no significant difference in these dependent variables between the time points or levels measured.
The document discusses Kendall's Tau, a nonparametric test used to measure the strength of association between two ranked variables that may contain ties. It provides a template for writing the null hypothesis for Kendall's Tau, which states that there is no statistically significant relationship between the rank-ordered variables. Two examples applying this template to problems investigating relationships between athletic performance variables are included.
The document discusses how to write a null hypothesis for a point-biserial correlation. It explains that a point-biserial correlation can test the relationship between a dichotomous variable and a continuous variable. It provides a template for a null hypothesis, which states that there is no statistically significant relationship between the two variables being examined. Two examples of null hypotheses are given, one for height and college graduation rates, and one for head circumference and political affiliation.
Null hypothesis for partial correlationKen Plummer
The document discusses setting a null hypothesis for a partial correlation. It provides a template for a null hypothesis when testing the relationship between two variables while adjusting for a third variable. As an example, it gives the null hypothesis that there is no relationship between plant growth and certain amounts of fertilizer, adjusting for sunlight.
The document discusses writing a null hypothesis for a Phi coefficient test. A null hypothesis states that there is no relationship between two dichotomous variables. It provides a template for a Phi coefficient null hypothesis: "There is no statistically significant relationship between the [variable 1] and [variable 2]." The document gives two examples of problems and uses the template to write the full null hypothesis for each problem.
The document discusses Spearman's Rho, a statistical test used to determine the relationship between two variables when at least one is ordinal. It provides examples of writing the null hypothesis for Spearman's Rho. The null hypothesis states that there is no statistically significant relationship between the variables being tested. Two examples are provided: one testing the relationship between team rankings and average point output, and one testing the relationship between states' poverty rankings and the number of charter schools per capita.
Are the samples repeated or independentKen Plummer
The document discusses independent and repeated samples. An independent sample involves subjects or observations from one sample that have no relationship with subjects or observations from another sample. A repeated sample involves measuring the same subjects or matched subjects more than once. An example is given of a study measuring sleep hours in the same subjects before and after starting a dietary regimen to examine the impact of the regimen over time. This uses a repeated sample as the same subjects are measured on multiple occasions.
Inferring or describing - practice problemsKen Plummer
The document presents 5 practice problems that differentiate between inferring and describing. The problems involve analyzing census data to determine education levels, surveying parents to gauge satisfaction with school counseling, identifying common blood pressure readings in a dataset, examining census data on foreign language use, and generalizing reading comprehension test results from a sample of students to an entire school district.
Reporting a two sample z test for proportionsKen Plummer
The document provides a template for reporting the results of a two-sample z-test for proportions. It includes an example comparing the proportion of birth defects between residents exposed to contaminated well water (16 defects from 414 births, or 4%) and residents not exposed (3 defects from 228 births). The z-test results show residents exposed to contaminated water had a statistically significantly higher rate of birth defects (z = 2.35, p = .001).
The document discusses conducting a factorial analysis of variance (ANOVA) to analyze the effects of two independent variables, athlete type (football, basketball, soccer players) and age (adults vs teenagers), on the dependent variable of number of slices of pizza consumed. It outlines setting up a 2x3 factorial design to compare the six groups that results from the two independent variables, each with multiple levels, and determining that a factorial ANOVA is the appropriate statistical analysis for this research question and study design.
A study investigated whether adults report verbally presented material more accurately from their right or left ear using a dichotic listening task. The data were positively skewed, so a non-parametric Wilcoxon test was used. The Wilcoxon test ranked the differences between each participant's left and right ear scores, ignoring signs. It summed the ranks for positive and negative differences separately. The smaller sum was the test statistic W, which was compared to a critical value from a table to determine significance. W was smaller than the critical value, so there was a significant difference between recall from the right and left ears.
The document discusses different scales of measurement used in research. There are four main scales: nominal, ordinal, interval, and ratio. Nominal scales use numbers to replace categories or names and assume no quantitative relationship between numbers. Ordinal scales represent relative quantities of attributes but intervals between numbers are not equal. Interval and ratio scales both assume equal intervals but ratio scales have a true zero point.
The document discusses different types of relationships between variables in data sets:
- Dichotomous by dichotomous data examines the relationship between two variables that can only take two values each, like gender and artichoke preference.
- Dichotomous by scaled data looks at the relationship between a dichotomous variable and a scaled variable, such as age group and hours of sleep.
- Ordinal by another variable considers the relationship when one variable ranks items but the intervals between ranks are unequal, like pole vaulting placements.
Advance Statistics - Wilcoxon Signed Rank TestJoshua Batalla
The Wilcoxon signed-rank test is a non-parametric test used to compare two related samples, such as repeated measurements on a single sample, to assess whether their population mean ranks differ. It can be used as a non-parametric alternative to the paired Student's t-test when the population cannot be assumed to be normally distributed. The test involves ranking the differences between pairs of observations and comparing the sum of the ranks of the positive differences to what would be expected if there was no effect. The document provides information on the requirements, formula, and an example application of the Wilcoxon signed-rank test.
Null hypothesis for a chi-square goodness of fit testKen Plummer
The document discusses how to write a null hypothesis for a chi-square goodness of fit test. It provides an example of a poll that surveyed voters in Connecticut on their party affiliation (Republican or Democrat). The expected distribution was 40% Republican and 60% Democrat. The null hypothesis is stated as: The party affiliation of Republican/Democrat occur at a .4/.6 probability in Connecticut.
Is this a central tendency - spread - symmetry questionKen Plummer
The document discusses distributions and the three types of questions that can be asked about them: central tendency, spread, and distribution shape. It uses a data set of students' study hours to illustrate what a distribution is, with hours of study on the x-axis and number of occurrences on the y-axis. Central tendency questions ask about the point or area where scores in the distribution predominantly cluster.
This document provides guidance on reporting the results of a single sample t-test in APA format. It includes templates for describing the test and population in the introduction and reporting the mean, standard deviation, t-value and significance in the results. An example is given of a hypothetical single sample t-test comparing IQ scores of people who eat broccoli regularly to the general population.
Reporting chi square goodness of fit test of independence in apaKen Plummer
A chi-square goodness of fit test was used to analyze data from a public opinion poll of 1000 voters in Connecticut on their party affiliation. The expected distribution was 40% Republican and 60% Democrat, but the observed results were 32% Republican and 68% Democrat. A sample report in APA style for these results includes the chi-square value, degrees of freedom, and p-value to determine if there is a significant deviation from the expected distribution.
This document discusses descriptive and inferential statistics. Descriptive statistics describe what is occurring in an entire population, using words like "all" or "everyone". Inferential statistics draw conclusions about a larger population based on a sample, since observing the entire population is often not feasible. The document provides examples to illustrate the difference, such as determining average test scores for all students versus using a sample of scores to estimate averages for an entire state.
The document presents 4 problems and classifies each as a different statistical question type: difference, goodness of fit, relationship, or independence. The problems involve classifying high school athletes' pizza consumption, the distribution of baseball cards in packs, the relationship between professors' years of teaching and publishing with income, and whether government funding of studies is independent of the studies' political perspectives. For each problem, the document explains the classification and provides a rationale.
The document discusses levels in statistics and provides examples to illustrate the concept. Levels refer to the number of conditions within an independent variable. The number of levels determines the appropriate statistical analysis method. Examples are provided of studies with different numbers of levels, such as socioeconomic status having 4 levels (wealthy, upper middle class, lower middle class, below poverty line) while gender has 2 levels (male, female). Visual representations are given to depict levels within independent variables. The document concludes by restating that levels indicate the number of conditions in an independent variable and that determining the number of levels is important for selecting the correct statistical analysis.
Calculating a two sample z test by handKen Plummer
The document describes how to calculate a two-sample z-test by hand to determine if there is a statistically significant difference between the reported anxiety symptoms of patients taking a new anti-anxiety medication versus a placebo. It provides the formula for the z-statistic and walks through calculating it step-by-step for a sample problem where 64 out of 200 patients taking the medication reported anxiety symptoms compared to 92 out of 200 patients taking the placebo. The calculated z-statistic is then compared to critical values to determine whether to reject or fail to reject the null hypothesis that there is no difference between the groups.
The document discusses the null hypothesis for a one-way repeated measures ANOVA. It states that the null hypothesis is that there is no significant difference between the dependent variable when measured at different time points or levels of the independent variable. It provides examples of null hypotheses for experiments measuring laughter during different television networks and apple production from an orchard over three years. The null hypothesis would state that there is no significant difference in these dependent variables between the time points or levels measured.
The document discusses Kendall's Tau, a nonparametric test used to measure the strength of association between two ranked variables that may contain ties. It provides a template for writing the null hypothesis for Kendall's Tau, which states that there is no statistically significant relationship between the rank-ordered variables. Two examples applying this template to problems investigating relationships between athletic performance variables are included.
The document discusses how to write a null hypothesis for a point-biserial correlation. It explains that a point-biserial correlation can test the relationship between a dichotomous variable and a continuous variable. It provides a template for a null hypothesis, which states that there is no statistically significant relationship between the two variables being examined. Two examples of null hypotheses are given, one for height and college graduation rates, and one for head circumference and political affiliation.
Null hypothesis for partial correlationKen Plummer
The document discusses setting a null hypothesis for a partial correlation. It provides a template for a null hypothesis when testing the relationship between two variables while adjusting for a third variable. As an example, it gives the null hypothesis that there is no relationship between plant growth and certain amounts of fertilizer, adjusting for sunlight.
The document discusses writing a null hypothesis for a Phi coefficient test. A null hypothesis states that there is no relationship between two dichotomous variables. It provides a template for a Phi coefficient null hypothesis: "There is no statistically significant relationship between the [variable 1] and [variable 2]." The document gives two examples of problems and uses the template to write the full null hypothesis for each problem.
The document discusses Spearman's Rho, a statistical test used to determine the relationship between two variables when at least one is ordinal. It provides examples of writing the null hypothesis for Spearman's Rho. The null hypothesis states that there is no statistically significant relationship between the variables being tested. Two examples are provided: one testing the relationship between team rankings and average point output, and one testing the relationship between states' poverty rankings and the number of charter schools per capita.
Are the samples repeated or independentKen Plummer
The document discusses independent and repeated samples. An independent sample involves subjects or observations from one sample that have no relationship with subjects or observations from another sample. A repeated sample involves measuring the same subjects or matched subjects more than once. An example is given of a study measuring sleep hours in the same subjects before and after starting a dietary regimen to examine the impact of the regimen over time. This uses a repeated sample as the same subjects are measured on multiple occasions.
Inferring or describing - practice problemsKen Plummer
The document presents 5 practice problems that differentiate between inferring and describing. The problems involve analyzing census data to determine education levels, surveying parents to gauge satisfaction with school counseling, identifying common blood pressure readings in a dataset, examining census data on foreign language use, and generalizing reading comprehension test results from a sample of students to an entire school district.
The document presents 7 practice problems about calculating different statistics from data sets. The problems involve comparing average cyberbullying incidents between grade levels, comparing test score ranges between therapy groups, calculating average blood pressure, examining exam score distributions, determining income variation across a school district, and describing comfort level distributions for different faculty groups. Central tendency, spread, and symmetry are the key statistical concepts addressed.
A student who didnt study for the upcoming quiz decides to wing .docxransayo
A student who didn't study for the upcoming quiz decides to 'wing it' and just guess on the 10 question quiz. Every question is True/False. What is the probability that his grade on the quiz will be at most 50%?
Please express your answer as a percent rounded to the hundredths decimal place. Include the '%' symbol.
A student who didn't study for the upcoming quiz decides to 'wing it' and just guess on the 10 question quiz. Every question has 5 choices (a - e). What is the probability that his grade on the quiz will be at most 50%?
Please express your answer as a percent rounded to the hundredths decimal place. Include the '%' symbol.
In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 6 belong to an ethnic minority?
Round your answer to four decimal places.
Find the mean , µ, for a bionomial distribution where n = 50 and p = .175.
Round the answer to the hundredths decimal place.
Find the mean , µ, for a bionomial distribution where n = 125 and p = 0.47
Round the answer to the hundredths decimal place.
Find the standard deviation for a bionomial distribution where n = 125 and p = 0.47.
Round the answer to the hundredths decimal place.
Find the standard deviation for a bionomial distribution where n = 50 and p = .175.
Round the answer to the hundredths decimal place.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275.
Your answer should be a decimal rounded to the fourth decimal place.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 170 and 220.
Your answer should be a decimal rounded to the fourth decimal place.
The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?
Your answer should be a decimal rounded to the fourth decimal place.
The amount of rainfall in January in a certain city is normally distributed with a mean of 4.6 inches and a standard deviation of 0.3 inches. Find the value of the first quartile Q1.
Round your answer to the nearest tenth.
In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.
Round your answer to the nearest tenth.
Scores on a test have a mean of 73 and Q3 is 83. The scores have a distribution that is approximatel.
The document presents a series of practice problems about differentiating between scaled, ordinal, nominal, and proportional data. The problems describe hypothetical studies and ask the reader to identify which type of data is being examined. For example, one problem discusses comparing the percentage of residents below the poverty line in a school district to the national percentage, which involves proportional data. The document provides the options for each problem's data type, an explanation of the right answer, and advances to the next problem for additional practice differentiation data types.
Is the data nominal tallied, or ordinal (ranked)?Ken Plummer
The document discusses different types of data that may be used in statistical tests, including ordinal (ranked) data and nominal tallied data. It provides examples of how ordinal data could be expressed as rankings or percentiles. Nominal tallied data refers to counts of observations in different categories or levels. The document suggests that if a problem contains at least one ordinal variable or two nominal variables, a non-parametric test may be appropriate to test for independence between the variables.
Central tendency, shape, or symmetry practice problems (2)Ken Plummer
The document presents 5 practice problems about differentiating between concepts of central tendency, spread, and symmetry in statistics. For each problem, the user is asked to identify which statistical concept is being examined based on a description. The concepts are then explained, with central tendency referring to average or middle values, spread referring to the differences between lowest and highest values, and symmetry referring to the shape or distribution of data.
The document discusses central tendency and skewness. In Demo #1, it explains that the median is the best measure of central tendency for a positively skewed distribution because it is not influenced by outliers. In Demo #2, it states the mode is best for a multimodal distribution because it indicates the most frequent values. Demo #3 explains that if the mean is lower than the median, the distribution is negatively skewed.
This document discusses goodness of fit, which determines how close an observed pattern fits a hypothesized pattern. It provides examples comparing hypothesized and actual counts or percentages to determine if they are statistically significantly different. If comparing counts, a goodness of fit test is used, while a difference test is used for percentages. The document explains this using examples of testing the distribution of M&M colors and rates of student absenteeism.
Infernetial vs desctiptive (jejit + indepth)Ken Plummer
The document discusses the differences between descriptive and inferential statistics. Descriptive statistics are used to describe characteristics of a whole population, while inferential statistics are used when the whole population cannot be measured and conclusions are drawn from a sample to make generalizations about the larger population. Examples are provided to illustrate when each type of statistic would be used.
I developed Design vs. Data for a guest lecture on quantitative research. I decided to focus on the importance of starting with an important question and the value of good design over data collection and statistics.
Exercise 7-1 Q # 10 Number of faculty. the numbers of faculty .docxgitagrimston
Exercise 7-1
Q # 10
Number of faculty. the numbers of faculty at 32 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. use these data to estimate the mean number of faculty at all state-controlled colleges and universities with enrollment under 12,000 with 92% confidence. assume .
211
384
396
211
224
337
395
121
356
621
367
408
515
280
289
180
431
176
318
836
203
374
224
121
412
134
539
471
638
425
159
324
Q # 14
Number of jobs. a sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 7.2. the population standard deviation is 2.1.
a. find the best point to estimate of the population men.
b.find the 95 % confidence interval of the mean number of jobs.
c.find the 99% confidence interval of the mean number of jobs.
d. which is smaller? explain why.
Q # 18
Day care tuition. a random sample of 50 four-year-olds attending day care centers provided a yearly tuition average of $3987 and the population standard deviation of $630. find the 90% confidence interval of the true mean. if a day care center were starting up and wanted to keep tuition low. what would be a reasonable amount to charge?
Exercise 7-2
Q # 8
State Gasoline Taxes. a random sample of state gasoline taxes ( in cents ) is shown here for 12 states. use the data to estimate the true population mean gasoline tax with 90% confidence. does your interval contain the national average of 44.7 cents?
38.4
40.9
67
32.5
51.5
43.4
38
43.4
50.7
35.4
39.3
41.4
Q # 10
Dance Company Students. the number of students who belong to dance company at each of several randomly selected small universities is shown below. estimate the true population mean size of a university dance company with 99% confidence.
21
25
32
22
28
30
29
30
47
26
35
26
35
26
28
28
32
27
40
Exercise 7-3
Q # 6
Belief in haunted places. a random sample of 205 college students were asked if they believed that places could be haunted, and 65 responded yes. estimate the true proportion of college students who believed in the possibility of haunted places with 99% confidence. according to time magazine,37% of americans believe that places can be haunted.
Q # 14
Fighting U.S hunger. in a poll of 1000 likely voters, 560 say that the united states spends too little on fighting hunger at home. find a 95% confidence interval for the true proportion of voters who feel this way.
Exercise 8-2
Q # 4
Moviegoers. the average moviegoer sees 8.5 movies a year. a moviegoer is defined as a person who sees at least one movie in a theater in a 12 month period. a random sample of 40 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The population standard deviation is 3.2 movies. at the 0.05 level of significance, can it be concluded that this represents a difference from the national average?
Q # 8
Salaries of government employees. the mean salary o ...
A study surveyed 300 breast cancer patients taking the drug Capvex. 250 of the patients were healed after 10 weeks. The parameter is the proportion of all patients taking Capvex who are healed within 10 weeks. The statistic is the proportion of 250 out of the 300 patients in the sample who were healed after 10 weeks.
Quantitative analysis in language researchCarlo Magno
Here are the analyses for each case:
Case A: Cross-tabulation and chi-square test since it involves counting students in categories defined by gender and track preference (both nominal variables).
Case B: One-way ANOVA since it involves comparing the mean attitude scores of 3 ethnic groups (nominal IV with 3 levels) on the Likert scale questionnaire (interval DV).
Case C: Independent t-test since it involves comparing the mean English exposure scores of 2 groups defined by parents' English proficiency (nominal IV with 2 levels) on the interval scale questionnaire.
Case D: Mann-Whitney U test since it involves comparing the rankings of 2 groups defined by where they studied (nominal IV)
The document discusses research design and statistical concepts for evaluating library statistics. It covers topics like validity, reliability, generalizability, research questions, hypotheses, data definitions, sampling, data collection, scales of measurement, distributions, variables, and statistical tests. Examples of case studies analyzing citation analysis, usage analysis and service analysis in libraries are provided to demonstrate key concepts.
This study aimed to determine the effects of cutting classes on the academic performance of senior high school students in Tigbauan National High School. A total of 50 senior high school students participated in the study, consisting of 20 male students and 30 female students. The study found that cutting classes had a neutral effect on academic performance. Specifically, the findings showed that boredom is a main reason for cutting classes and that students sometimes skip class every day. However, the study found no significant differences in the effects of cutting classes when comparing groups by gender, level, or as a whole. Therefore, the hypothesis that there are differences is rejected. In conclusion, cutting classes was found to have a neutral effect on academic performance with no significant
The document provides guidance on reporting the results of a single sample t-test in APA format. It includes an example result that states there was no statistically significant difference in calculus anxiety scores between a sample of 30 students and the general college student population based on a t-value of 1.03 and p-value of 0.434. Key elements to report include the sample mean and standard deviation, degrees of freedom, t-value, and p-value.
This document analyzes the role of chance in competitive examinations with multiple choice questions. It uses data from an entrance exam with over 57,000 students to compare original ranks to ranks in simulated alternate versions of the test. The analysis found that students' ranks varied significantly between the original and simulated tests, even though the questions came from the same pool. This suggests students' final ranks depend significantly on the specific questions included by chance, and the same student could rank much higher or lower based on the random selection of questions.
The document discusses the difference between statistics and parameters. It states that a statistic describes a sample, while a parameter describes an entire population. It then provides examples of studies and identifies whether the numerical values provided are statistics or parameters. Statistics are values that describe characteristics of a sample only, while parameters describe the entire population.
The sampling methods used in each situation are:
1. Cluster sampling (schools were randomly selected and then all students within those schools were included)
2. Simple random sampling (each child had an equal probability of being selected using a random number assignment)
3. Stratified random sampling (the population was divided into subgroups/strata and then a random sample was selected from each)
4. Cluster sampling (sections/clusters were randomly selected and then all students within those sections were included)
Similar to Are the samples repeated or independent or both (20)
Diff rel gof-fit - jejit - practice (5)Ken Plummer
The document discusses the differences between questions of difference, relationship, and goodness of fit. It provides examples to illustrate each type of question. A question of difference compares two or more groups on some outcome, like comparing younger and older drivers' average driving speeds. A question of relationship examines whether a change in one variable causes a change in another, such as the relationship between age and flexibility. A question of goodness of fit assesses how well a claim matches reality, such as whether a salesman's claim of software effectiveness fits the results of user testing.
This document provides examples of questions that ask for the lowest and highest number in a set of data. The questions ask for the difference between the state with the lowest and highest church attendance, the students with the highest and lowest test scores, and the slowest and fastest versions of a vehicle model.
Inferential vs descriptive tutorial of when to use - Copyright UpdatedKen Plummer
The document discusses the differences between descriptive and inferential statistics. Descriptive statistics are used to describe characteristics of a whole population, while inferential statistics are used when the whole population cannot be measured and conclusions are drawn from a sample to generalize to the larger population. Examples are provided to illustrate when each type of statistic would be used. Key differences include descriptive statistics examining entire populations while inferential statistics examine samples that aim to infer conclusions about populations.
Diff rel ind-fit practice - Copyright UpdatedKen Plummer
The document provides explanations and examples for different types of statistical questions:
- Difference questions compare two or more groups on an outcome.
- Relationship questions examine if a change in one variable is associated with a change in another variable.
- Independence questions determine if two variables with multiple levels are independent of each other.
- Goodness of fit questions assess how well a claim matches reality.
Examples are given for each type of question to illustrate key concepts like comparing groups, examining associations between variables, assessing independence, and evaluating how a claim fits observed data.
Normal or skewed distributions (inferential) - Copyright updatedKen Plummer
- The document discusses determining whether distributions are normal or skewed
- A distribution is considered skewed if the skewness value divided by the standard error of skewness is less than -2 or greater than 2
- For the old car data set in the example, the skewness value of -4.26 divided by the standard error is less than -2, so this distribution is negatively skewed
- The new car data set skewness value of -1.69 divided by the standard error is between -2 and 2, so this distribution is normal
Normal or skewed distributions (descriptive both2) - Copyright updatedKen Plummer
The document discusses normal and skewed distributions and how to identify them. It provides examples of measuring forearm circumference of golf players and IQs of cats and dogs. The forearm circumference data is normally distributed while the dog IQ data is left skewed based on the skewness statistics provided. Therefore, at least one of the distributions (dog IQs) is skewed.
Nature of the data practice - Copyright updatedKen Plummer
The document discusses different types of data:
- Scaled data provides exact amounts like 12.5 feet or 140 miles per hour.
- Ordinal or ranked data provides comparative amounts like 1st, 2nd, 3rd place.
- Nominal data names or categorizes values like Republican or Democrat.
- Nominal proportional data are simply percentages like Republican 45% or Democrat 55%.
Nature of the data (spread) - Copyright updatedKen Plummer
The document discusses scaled and ordinal data. Scaled data can be measured in exact amounts like distances and speeds. Ordinal data provides comparative amounts by ranking items, like the top 3 states in terms of well-being. Examples ask the reader to identify if data is scaled or ordinal, like driving speeds which are scaled, or baby weight percentiles which are ordinal as they compare weights.
The document is a series of questions and examples that explain what it means for a question to ask about the "most frequent response". It provides examples of questions asking about the highest/most number of something based on data in tables or lists. It then asks a series of questions to determine if they are asking about the most frequent/common response based on the data given.
Nature of the data (descriptive) - Copyright updatedKen Plummer
The document discusses two types of data: scaled data and ordinal data. Scaled data can be measured in exact amounts with equal intervals between values. Ordinal or ranked data provides comparative amounts but not necessarily equal intervals. Several examples are provided to illustrate the difference, including driving speed, states ranked by well-being, and elephant weights. Practice questions are also included for the reader to determine if data examples provided are scaled or ordinal.
The document discusses whether variables are dichotomous or scaled when calculating correlations. It provides examples of correlations between ACT scores and whether students attended private or public school. One example has ACT scores as a scaled variable and school type as dichotomous. Another has lower and higher ACT scores as dichotomous and school type as dichotomous. It emphasizes determining if variables are both dichotomous, or if one is dichotomous and one is scaled.
The document discusses the correlation between ACT scores and a measure of school belongingness. It determines that one of the variables, which has a sample size less than 30, is skewed and has many ties. As a result, a non-parametric test should be used to analyze the relationship between the two variables.
The document discusses using parametric versus non-parametric tests based on sample size for skewed distributions. For skewed distributions with a sample size less than 30, a non-parametric test is recommended. For skewed distributions with a sample size greater than or equal to 30, a parametric test is recommended. It provides examples analyzing the correlation between ACT scores and sense of school belongingness using both approaches.
The document discusses whether there are many ties or few/no ties within the variables of the relationship question "What is the correlation between ACT rankings (ordinal) and sense of school belongingness (scaled 1-10)?". It determines that ACT rankings, being ordinal, have many ties, while sense of school belongingness, being on a scale of 1-10, may have many or few ties depending on how scores are distributed.
The document discusses identifying whether variables in statistical analyses are ordinal or nominal. It provides examples of relationships between variables such as ACT rankings and sense of school belongingness, daily social media use and sense of well-being, and private/public school enrollment and sense of well-being. It asks the reader to identify if variables in examples like running speed and shoe/foot size or LSAT scores and test anxiety are ordinal or nominal.
The document discusses covariates and their impact on relationships between variables. It defines a covariate as a variable that is controlled for or eliminated from a study. It explains that if a covariate is related to one of the variables in the relationship being examined, it can impact the strength of that relationship. Examples are provided to demonstrate when a question involves a covariate or not.
This document discusses the nature of variables in relationship questions. It can be determined that the variables are either both scaled, at least one is ordinal, or at least one is nominal. Examples of different relationship questions are provided that fall into each of these categories. The document also provides practice questions for the user to determine which category the variables fall into.
The document discusses the number of variables involved in research questions. It explains that many relationship questions deal with two variables, such as gender predicting driving speed. However, some questions deal with three or more variables, for example gender and age predicting driving speed. The document asks the reader to identify whether example research questions involve two or three or more variables.
The document discusses independent and dependent variables in research questions. It provides examples to illustrate that an independent variable has at least two levels and may have more, such as religious affiliation having two levels (Western religion and Eastern religion) or company type having three levels (Company X, Company Y, Company Z). It then provides a practice example about employee satisfaction rates among morning, afternoon, and evening shifts, identifying shift status as the independent variable with three levels.
The document discusses independent variables and how they relate to research questions. It provides examples of questions with one independent variable, two independent variables, and zero independent variables. An independent variable influences or impacts a dependent variable. Questions are presented about employee satisfaction rates, agent commissions, training proficiency, and cyberbullying incidents to illustrate different numbers of independent variables.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
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What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
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The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
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Executive Directors Chat Leveraging AI for Diversity, Equity, and InclusionTechSoup
Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
How to Manage Your Lost Opportunities in Odoo 17 CRMCeline George
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
8. You have been asked to determine if ACT scores from
Texas students are similar to national student ACT scores.
9. You have been asked to determine if ACT scores from
Texas students are similar to national student ACT scores.
You select a sample of 100 student ACT scores from Texas
and determine if they are statistically similar to national
ACT scores.
13. Here is the problem again:
You have been asked to determine if ACT scores from
Texas students are similar to national student ACT
scores. You select a sample of 100 student ACT scores
from Texas and determine if they are statistically similar
to national ACT scores.
14. Here is the problem again:
You have been asked to determine if ACT scores from
Texas students are similar to national student ACT
scores. You select a sample of 100 student ACT scores
from Texas and determine if they are statistically similar
to national ACT scores.
What are the numeric values in this problem?
15. Here is the problem again:
You have been asked to determine if ACT scores from
Texas students are similar to national student ACT
scores. You select a sample of 100 student ACT scores
from Texas and determine if they are statistically similar
to national ACT scores.
What are the numeric values in this problem?
ACT scores
16. Here is the problem again:
You have been asked to determine if ACT scores from
Texas students are similar to national student ACT
scores. You select a sample of 100 student ACT scores
from Texas and determine if they are statistically similar
to national ACT scores.
What group produced these scores?
17. Here is the problem again:
You have been asked to determine if ACT scores from
Texas students are similar to national student ACT
scores. You select a sample of 100 student ACT scores
from Texas and determine if they are statistically similar
to national ACT scores.
What group produced these scores?
Texas Students
18. Here is the problem again:
You have been asked to determine if ACT scores from
Texas students are similar to national student ACT
scores. You select a sample of 100 student ACT scores
from Texas and determine if they are statistically similar
to national ACT scores.
What is the basis for group membership?
19. Here is the problem again:
You have been asked to determine if ACT scores from
Texas students are similar to national student ACT
scores. You select a sample of 100 student ACT scores
from Texas and determine if they are statistically similar
to national ACT scores.
What is the basis for group membership?
Being a student from Texas who took the ACT
21. Here is what that sample might look like:
100 Texas
Student ACT
Scores
22. Here is what that sample might look like:
100 Texas
Student ACT
Scores
Data Set
23. Here is what that sample might look like:
100 Texas
Student ACT
Scores
Texas
Students
ACT
Scores
1 25
2 16
3 28
4 31
5 14
. . .
. . .
100 32
Data Set
24. 100 Texas
Student ACT
Scores
Texas
Students
ACT
Scores
1 25
2 16
3 28
4 31
5 14
. . .
. . .
100 32
Data Set
Back to the definition:
25. A sample is list of numeric values produced by a
group of individuals or from observations that have
some common characteristic.
100 Texas
Student ACT
Scores
Texas
Students
ACT
Scores
1 25
2 16
3 28
4 31
5 14
. . .
. . .
100 32
Data Set
26. A sample is list of numeric values produced by a
group of individuals or from observations that have
some common characteristic.
100 Texas
Student ACT
Scores
Texas
Students
ACT
Scores
1 25
2 16
3 28
4 31
5 14
. . .
. . .
100 32
Data Set
27. A sample is list of numeric values produced by a
group of individuals or from observations that have
some common characteristic.
100 Texas
Student ACT
Scores
Texas
Students
ACT
Scores
1 25
2 16
3 28
4 31
5 14
. . .
. . .
100 32
Data Set
28. A sample is list of numeric values produced by a
group of individuals or from observations that have
some common characteristic.
100 Texas
Student ACT
Scores
Texas
Students
ACT
Scores
1 25
2 16
3 28
4 31
5 14
. . .
. . .
100 32
Data Set
29. A sample is list of numeric values produced by a
group of individuals or from observations that have
some common characteristic.
100 Texas
Student ACT
Scores
Texas
Students
ACT
Scores
1 25
2 16
3 28
4 31
5 14
. . .
. . .
100 32
Data Set
30. A sample is list of numeric values produced by a
group of individuals or from observations that have
some common characteristic.
100 Texas
Student ACT
Scores
Texas
Students
ACT
Scores
1 25
2 16
3 28
4 31
5 14
. . .
. . .
100 32
Data Set
32. Now that you’ve been introduced to what sample is
. . . What are Independent Samples?
33. A sample is independent from another sample when
the subjects or observations in one sample have NO
RELATIONSHIP with the subjects or observations in
another sample.
35. Imagine you have been asked to compare ACT scores
between Texas and California students.
36. What makes these samples independent
is that these Texas Students ARE NOT
these California Students
37. What makes these samples independent
is that these Texas Students ARE NOT
these California Students
100 Texas
Student ACT
Scores
38. What makes these samples independent
is that these Texas Students ARE NOT
these California Students
100 Texas
Student ACT
Scores
39. What makes these samples independent
is that these Texas Students ARE NOT
these California Students
100 Texas
Student ACT
Scores
100 California
Student ACT
Scores
40. This may seem very obvious that one groups
individuals are not the other groups individuals.
41. This may seem very obvious that one groups
individuals are not the other groups individuals. But,
it is an important aspect that makes independent
samples – independent!
43. An investigator thinks that people under the age of
forty have vocabularies that are different than those
of people over sixty years of age. The investigator
administers a vocabulary test to a group of 40 younger
subjects and to a group of 45 older subjects. Higher
scores reflect better performance. The mean score for
younger subjects was 14.0 and the mean score for
older subjects was 20.0.
44. An investigator thinks that people under the age of
forty have vocabularies that are different than those
of people over sixty years of age. The investigator
administers a vocabulary test to a group of 40 younger
subjects and to a group of 45 older subjects. Higher
scores reflect better performance. The mean score for
younger subjects was 14.0 and the mean score for
older subjects was 20.0.
45. An investigator thinks that people under the age of
forty have vocabularies that are different than those
of people over sixty years of age. The investigator
administers a vocabulary test to a group of 40 younger
subjects and to a group of 45 older subjects. Higher
scores reflect better performance. The mean score for
younger subjects was 14.0 and the mean score for
older subjects was 20.0.
46. An investigator thinks that people under the age of
forty have vocabularies that are different than those
of people over sixty years of age. The investigator
administers a vocabulary test to a group of 40 younger
subjects and to a group of 45 older subjects. Higher
scores reflect better performance. The mean score for
younger subjects was 14.0 and the mean score for
older subjects was 20.0.
How many samples are there?
47. An investigator thinks that people under the age of
forty have vocabularies that are different than those
of people over sixty years of age. The investigator
administers a vocabulary test to a group of 40 younger
subjects and to a group of 45 older subjects. Higher
scores reflect better performance. The mean score for
younger subjects was 14.0 and the mean score for
older subjects was 20.0.
Sample 1
How many samples are there?
48. An investigator thinks that people under the age of
forty have vocabularies that are different than those
of people over sixty years of age. The investigator
administers a vocabulary test to a group of 40 younger
subjects and to a group of 45 older subjects. Higher
scores reflect better performance. The mean score for
younger subjects was 14.0 and the mean score for
older subjects was 20.0.
Sample 2
How many samples are there?
49. An investigator thinks that people under the age of
forty have vocabularies that are different than those
of people over sixty years of age. The investigator
administers a vocabulary test to a group of 40 younger
subjects and to a group of 45 older subjects. Higher
scores reflect better performance. The mean score for
younger subjects was 14.0 and the mean score for
older subjects was 20.0.
Are they independent?
55. With repeated samples the two samples share one
important thing in common: They are the SAME
PERSONS being measured . . .
56. With repeated samples the two samples share one
important thing in common: They are the SAME
PERSONS being measured more than once . . .
57. With repeated samples the two samples share one
important thing in common: They are the SAME
PERSONS being measured more than once or they are
different persons but MATCHED in some way.
59. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep.
60. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours.
61. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again.
62. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
63. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
You will notice that there is only one group we are studying
64. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
You will notice that there is only one group we are studying
65. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
66. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Subjects
Subject 1
Subject 2
. . .
Subject 45
67. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Subjects
Subject 1
Subject 2
. . .
Subject 45
68. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Before the
Study
Subjects
Subject 1
Subject 2
. . .
Subject 45
69. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Before the
Study
Subjects Hours of
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
70. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Before the
Study
Subjects Hours of
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
71. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Before the
Study
Subjects Hours of
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
72. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Before the
Study
Subjects Hours of
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
73. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Before the
Study
Subjects Hours of
Hours of Sleep
6
5
8
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
Two Months
Later
Hours of
Sleep
7
6
8
74. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Notice that the research subjects are
the same, but the samples are taken
at different times.
Before the
Study
Subjects Hours of
Hours of Sleep
6
5
8
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
Two Months
Later
Hours of
Sleep
7
6
8
75. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Notice that the research subjects are
the same, but the samples are taken
at different times.
Before the
Study
Subjects Hours of
Hours of Sleep
6
5
8
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
Two Months
Later
Hours of
Sleep
7
6
8
76. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Notice that the research subjects are
the same, but the samples are taken
at different times.
Before the
Study
Subjects Hours of
Hours of Sleep
6
5
8
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
Two Months
Later
Hours of
Sleep
7
6
8
77. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Notice that the research subjects are
the same, but the samples are taken
at different times.
Before the
Study
Subjects Hours of
Hours of Sleep
6
5
8
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
Two Months
Later
Hours of
Sleep
7
6
8
78. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Notice that the research subjects are
the same, but the samples are taken
at different times.
Before the
Study
Subjects Hours of
Hours of Sleep
6
5
8
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
Two Months
Later
Hours of
Sleep
7
6
8
79. Suppose that, as a health researcher, you want to
examine the impact of a specialized dietary regimen
on hours of sleep. Before they start the regimen, you
measure 45 subject’s average sleep hours. One month
later you take their average number of sleep hours
again. And then two months after that you take the
measure one more time.
Notice that the research subjects are
the same, but the samples are taken
at different times.
Before the
Study
Subjects Hours of
Hours of Sleep
6
5
8
Sleep
Subject 1 5
Subject 2 4
. . .
Subject 45 7
One Month
Later
Hours of
Sleep
6
5
8
Two Months
Later
Hours of
Sleep
7
6
8
80. These samples are repeated because in this case each
sample has the same person in it being measured
repeatedly.
81. In some instances, the persons are not the same but
are matched on some variable.
82. In some instances, the persons are not the same but
are matched on some variable.
In such a scenario, the samples would be considered
to be repeated.
84. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
85. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
First, notice that there are multiple
measurements over time.
86. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
First, notice that there are multiple
measurements over time.
87. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
First, notice that there are multiple
measurements over time.
88. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
First, notice that there are multiple
measurements over time.
89. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
90. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
91. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
92. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
93. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
94. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
95. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
1- Gender
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
96. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
2- Residence
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
97. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
3 - Age
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
98. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 7
Males from Texas under
65 with lung disease
4- Heart
Condition
Lynn 7 Ed 8 Kade 8
Next notice that Bob, Tanner, and Mckay are all
matched on four variables.
99. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
So, Bob, Tanner, and Mckay are not the same
person but they are matched in terms of gender,
residence, age and heart condition.
100. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
So, Bob, Tanner, and Mckay are not the same
person but they are matched in terms of gender,
residence, age and heart condition.
101. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
So, Bob, Tanner, and Mckay are not the same
person but they are matched in terms of gender,
residence, age and heart condition.
102. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
So, Bob, Tanner, and Mckay are not the same
person but they are matched in terms of gender,
residence, age and heart condition.
103. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
So, Bob, Tanner, and Mckay are not the same
person but they are matched in terms of gender,
residence, age and heart condition.
104. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
So, Bob, Tanner, and Mckay are not the same
person but they are matched in terms of gender,
residence, age and heart condition.
105. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
So, Bob, Tanner, and Mckay are not the same
person but they are matched in terms of gender,
residence, age and heart condition.
106. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
So, Bob, Tanner, and Mckay are not the same
person but they are matched in terms of gender,
residence, age and heart condition.
107. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
108. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
The same is true for Ashton, Roger, and Steve
who are not the same person but who are also
matched in terms of gender, residence, age and
heart condition.
109. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
The same is true for Ashton, Roger, and Steve
who are not the same person but who are also
matched in terms of gender, residence, age and
heart condition.
110. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
111. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
The same with Laura, Rachel, and Kate who are
also matched in terms of gender, residence, age
and heart condition.
112. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
The same with Laura, Rachel, and Kate who are
also matched in terms of gender, residence, age
and heart condition.
113. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
And Lynn, Ed, and Kade who are also matched in
terms of gender, residence, age and heart
condition.
114. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
115. June Hours
of sleep
July Hours of
sleep
August Hours of
sleep
Males from Minnesota
over 65 with heart
disease
Bob 5 Tanner 6 Mckay 5
Males from California
over 65 without heart
disease
Ashton 4 Roger 3 Steve 4
Females from Utah under
65 with heart disease
Laura 5 Rachel 6 Kate 6
Males from Texas under
65 with lung disease
Lynn 7 Ed 8 Kade 8
And Lynn, Ed, and Kade who are also matched in
terms of gender, residence, age and heart
condition.
119. Once again, independent samples are samples that
have different research subjects.
Repeated samples have the same research subjects,
that are measured over multiple times.
120. Once again, independent samples are samples that
have different research subjects.
Repeated samples have the same research subjects,
that are measured over multiple times.
Repeated samples can have different research
subjects if those research subjects are matched in
some way. They are also measured over time.
121. In this Guided Practice you will be presented with two
word problems. You will be asked to determine if the
word problem is depicting an independent or repeated
measure samples.
123. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
124. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
Is this studying dealing with independent samples or
repeated measures?
125. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
Is this studying dealing with independent samples or
repeated measures?
A. independent samples
B. repeated measures
126. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
Is this studying dealing with independent samples or
repeated measures?
A. independent samples
B. repeated measures
127. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
The reason we are dealing with a repeated measures
sample here is because the SAME vehicles are being
tested twice. The only difference between the two
A. independent samples
B. repeated measures
times is the type of tires that were used.
128. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
The reason we are dealing with a repeated measures
sample here is because the SAME vehicles are being
tested twice. The only difference between the two
A. independent samples
B. repeated measures
times is the type of tires that were used.
129. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
The reason we are dealing with a repeated measures
sample here is because the SAME vehicles are being
tested twice. The only difference between the two
A. independent samples
B. repeated measures
times is the type of tires that were used.
130. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
The reason we are dealing with a repeated measures
sample here is because the SAME vehicles are being
tested twice. The only difference between the two
A. independent samples
B. repeated measures
times is the type of tires that were used.
131. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
First Time
The reason we are dealing with a repeated measures
sample here is because the SAME vehicles are being
tested twice. The only difference between the two
A. independent samples
B. repeated measures
times is the type of tires that were used.
132. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
The reason we are dealing with a repeated measures
sample here is because the SAME vehicles are being
tested twice. The only difference between the two
A. independent samples
B. repeated measures
times is the type of tires that were used.
133. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
The reason we are dealing with a repeated measures
sample here is because the SAME vehicles are being
tested twice. The only difference between the two
A. independent samples
B. repeated measures
times is the type of tires that were used.
134. Problem #1
Auto-engineers equip twelve cars with a special brand
of radial tires. These vehicles were then driven over a
test course. Then the same 12 cars were equipped
with regular belted tires and driven over the same
course. After each run, the cars’ miles per gallon was
measured.
Second Time
The reason we are dealing with a repeated measures
sample here is because the SAME vehicles are being
tested twice. The only difference between the two
A. independent samples
B. repeated measures
times is the type of tires that were used.
136. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
137. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
Is this studying dealing with independent samples or
repeated measures?
138. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
Is this studying dealing with independent samples or
repeated measures?
A. independent samples
B. repeated measures
139. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
Is this studying dealing with independent samples or
repeated measures?
A. independent samples
B. repeated measures
140. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
A. The independent reason we are samples
dealing with an independent
sample B. repeated here is measures
because we are comparing the time
required to complete certain tasks between three
different and unmatched groups.
141. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
A. The independent reason we are samples
dealing with an independent
sample B. repeated here is measures
because we are comparing the time
required to complete certain tasks between three
different and unmatched groups.
142. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
A. The independent reason we are samples
dealing with an independent
sample B. repeated here is measures
because we are comparing the time
required to complete certain tasks between three
different and unmatched groups.
143. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
A. The independent reason we are samples
dealing with an independent
sample B. repeated here is measures
because we are comparing the time
required to complete certain tasks between three
different and unmatched groups.
144. Problem #2
A manager wishes to determine whether the time
required to complete a certain task differs for the three
groups: Beginners, intermediate, and advanced trained
employees.
A. The independent reason we are samples
dealing with an independent
sample B. repeated here is measures
because we are comparing the time
required to complete certain tasks between three
different and unmatched groups.
145. Finally, there are scenarios where the problem you are
working on will have both repeated and independent
samples at the same time.
146. In the slides that follow, we will use an example similar to
one you have already seen in this presentation:
147. You have been asked to determine the effect of a new
vocabulary enhancing therapy on younger, middle age and
older people. You collect two samples of each group
(younger, middle age, older). All six groups (2 young, 2
middle, 2 old) are administered a pre-vocabulary test. The
first set of younger, middle age, and older samples
receives the vocab-enhancing therapy. The second set of
groups does not. After three months of therapy all six
groups take a post-vocabulary test.
First, determine if there is a statistically significant
difference between each of the control and treatment
groups on just the pre-test.
Second, determine if there is a statistically significant
difference between the pre and posttest for each group.
148. You have been asked to determine the effect of a new
vocabulary enhancing therapy on younger, middle age and
older people. You collect two samples of each group
(younger, middle age, older). All six groups (2 young, 2
middle, 2 old) are administered a pre-vocabulary test. The
first set of younger, middle age, and older samples
receives the vocab-enhancing therapy. The second set of
groups does not. After three months of therapy all six
groups take a post-vocabulary test.
First, determine if there is a statistically significant
difference between each of the control and treatment
groups on just the pre-test.
Second, determine if there is a statistically significant
difference between the pre and posttest for each group.
149. You have been asked to determine the effect of a new
vocabulary enhancing therapy on younger, middle age and
older people. You collect two samples of each group
(younger, middle age, older). All six groups (2 young, 2
middle, 2 old) are administered a pre-vocabulary test. The
first set of younger, middle age, and older samples
receives the vocab-enhancing therapy. The second set of
groups does not. After three months of therapy all six
groups take a post-vocabulary test..
First, determine if there is a statistically significant
difference between each of the control and treatment
groups on just the pre-test.
Second, determine if there is a statistically significant
difference between the pre and posttest for each group.
150. You have been asked to determine the effect of a new
vocabulary enhancing therapy on younger, middle age and
older people. You collect two samples of each group
(younger, middle age, older). All six groups (2 young, 2
middle, 2 old) are administered a pre-vocabulary test. The
first set of younger, middle age, and older samples
receives the vocab-enhancing therapy. The second set of
groups does not. After three months of therapy all six
groups take a post-vocabulary test.
First, determine if there is a statistically significant
difference between each of the control and treatment
groups on just the pre-test.
Second, determine if there is a statistically significant
difference between the pre and posttest for each group.
151. You have been asked to determine the effect of a new
vocabulary enhancing therapy on younger, middle age and
older people. You collect two samples of each group
(younger, middle age, older). All six groups (2 young, 2
middle, 2 old) are administered a pre-vocabulary test. The
first set of younger, middle age, and older samples
receives the vocab-enhancing therapy. The second set of
groups does not. After three months of therapy all six
groups take a post-vocabulary test.
First, determine if there is a statistically significant
difference between each of the control and treatment
groups on just the pre-test.
Second, determine if there is a statistically significant
difference between the pre and posttest for each group.
154. Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
155. Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
156. Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
157. Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
158. Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
159. Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
160. Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
161. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young 5 10
2 Young 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
162. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
163. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
164. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
165. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 10
2 Young Control 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
166. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
167. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
168. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
169. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab
Test Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
170. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab
Test Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
171. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab
Test Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
172. Groups Age Treatment
/ Control
Pre-Vocab
Test Scores
Post-Vocab
Test Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
173. So, how are these both independent and
repeated samples
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
174. The samples that are independent are all six
groups, because if you are in group 1 you are
not in group 2, group 3, group 4, 5, 6 etc.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
175. The samples that are independent are all six
groups, because if you are in group 1 you are
not in group 2, group 3, group 4, 5, 6 etc.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
176. The samples that are independent are all six
groups, because if you are in group 1 you are
not in group 2, group 3, group 4, 5, 6 etc.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
177. The samples that are independent are all six
groups, because if you are in group 1 you are
not in group 2, group 3, group 4, 5, 6 etc.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
178. The samples that are independent are all six
groups, because if you are in group 1 you are
not in group 2, group 3, group 4, 5, 6 etc.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
179. The samples that are independent are all six
groups, because if you are in group 1 you are
not in group 2, group 3, group 4, 5, 6 etc.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
180. The samples that are independent are all six
groups, because if you are in group 1 you are
not in group 2, group 3, group 4, 5, 6 etc.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
181. All six groups are independent of one another.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
182. All six groups are independent of one another.
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
183. Each group is repeated within itself because the
same persons (e.g., young treatment group) are
measured twice or repeatedly
184. Each group is repeated within itself because the
same persons (e.g., young treatment group) are
measured twice or repeatedly
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
185. Each group is repeated within itself because the
same persons (e.g., young treatment group) are
measured twice or repeatedly
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
1st Test
186. Each group is repeated within itself because the
same persons (e.g., young treatment group) are
measured twice or repeatedly
Groups Age Treatment /
Control
Pre-Vocab
Test Scores
Post-Vocab Test
Scores
1 Young Treatment 5 10
2 Young Control 6 7
3 Middle Treatment 19 26
4 Middle Control 21 23
5 Old Treatment 12 24
6 Old Control 13 16
2nd Test
187. This is an example of both repeated and independent
samples in the same problem.
188. Look at the problem you are working on and
determine if the samples are independent or
repeated:
189. Look at the problem you are working on and
determine if the samples are independent or
repeated:
Independent Samples
Both Repeated &
Independent Samples