Mth 231 Education Redefined - snaptutorial.com

MTH 231 Entire Course
For more classes visit
www.snaptutorial.com
MTH 231 Week 1 DQs
MTH 231 Week 1 Populations and Sampling Paper
MTH 231 Week 2 DQs
MTH 231 Week 2 Data—Organizing, Summarizing, Probability, and
Distribution Worksheet
MTH 231 Week 3 DQs
MTH 231 Week 3 Life Sciences Article Analysis
MTH 231 Week 4 DQs
MTH 231 Week 4 Confidence Intervals in the Life Sciences
Presentation
MTH 231 Week 4 Distribution, Hypothesis Testing, and Error
Worksheet
MTH 231 Week 5 Final Exam

MTH 231 Week 5 Hypothesis Testing and Correlation Worksheet
******************************************
MTH 231 Final Exam Guide Set 2
We have another set of final exam guide which could be found on this
link
Use the following table for questions 1 and 2.
Butterflies
Red

Blue
Orange
Yellow
Collected in spring
3
2
1
24
Collected in summer
14
7
8

24
Collected in autumn
12
72
9
43
1. If you randomly select one butterfly from the table above, what is
the probability of selecting a red butterfly or one collected in spring?
2. If you randomly select one butterfly collected in spring, one
butterfly collected in summer, and one butterfly collected in autumn,
what is the probability of selecting all yellow butterflies?
3. Determine the appropriate approach to conduct a hypothesis test for
this claim: Fewer than 5% of patients experience negative treatment
effects. Sample data: Of 500 randomly selected patients, 2.2%
experience negative treatment effects.
A) Use the normal distribution.
B) Use the Student t distribution.
C) Use the chi-square distribution.
D) Use nonparametric or bootstrapping methods.
this claim: The systolic blood pressure of men who run at least five
miles each week varies less than does the systolic blood pressure of all

men. Sample data: n = 100 randomly selected men who run at least five
miles each week, sample mean = 108.4, and s = 20.3
this claim: The mean sodium content of a 30 g serving of snack crackers
is 2,200 mg. Sample data: n = 130 snack crackers, sample mean= 3,100
mg, and s = 570. The sample data appear to come from a normally
distributed population.
Use the following sample data to answer questions 6 through 12.A study
of physical fitness tests for 12 randomly selected premedical students
measured their exercise capacity (in minutes). The following data
resulted:
25 61 23 22 24 53
33 31 23 23 63 71
6. Calculate the mean of the students’ exercise capacity.
7. Calculate the median of the students’ exercise capacity.
8. Calculate the mode of the students’ exercise capacity.
9. Calculate the standard deviation of the students’ exercise capacity.

10. Calculate a 90% Confidence Interval for the student's mean exercise
capacity.
11. If premedical student Alisha has the exercise capacity of 42 minutes,
convert her score to a z score among the distribution of exercise capacity
above.
12. Alisha’s grandmother has an exercise capacity of 21 minutes, as
measured in a similar study among Americans over seventy years old.
The study sample has a mean of 15.2 minutes and a standard deviation
of 7.3 minutes. Convert Alisha’s grandmother’s score to a z score among
the distribution of exercise capacity in Americans over seventy years
old. Who has a relatively longer exercise capacity compared to her
peers—Alisha or her grandmother?
13. Choose the procedure that will allow dental patients to be researched
using a binomial distribution:
A) Surveying dental patients and asking them how their visit could
have been made more enjoyable
B) Asking dental patients as they enter the office how often they floss
C) Surveying a set number of dental patients and asking them if they
have dental insurance
D) Asking patients as they enter the office whether they flossed before
the appointment
E) Surveying dental patients and asking them how their teeth feel
after their appointment
14. Select the procedure that results in a Poisson distribution and
explain.

F) Researching the Northern Spotted Owls' number of feedings per
month
G) Researching the Barred Owls' wingspan in inches
H) Researching the Snowy Owls' preferred nesting locations
I) Researching the Sooty Owls' longevity
15. Choose the procedure that will allow fire ants to be researched using
a Poisson distribution.
J) Counting fire ants per square centimeter of a mound
K) Counting fire ant mounds per square kilometer throughout North
America
L) Surveying 2,080 North Americans to determine how many fire
ant bites they have suffered in the past year
M) Surveying 2,080 North Americans to determine how they feel about
fire ants
N) Recording the locations of fire ant mounds each year in one county
over a span of 40 years
******************************************
MTH 231 Week 1 DQ 1 and DQ 2

Week 1 DQ 1
Select the commodity of your best interest by ticking the box. You
should get the data table thru clicking "retrieve" button at the end part of
the list. ( You may use a commodity which is not explained in the class)
Select the data among the month from 10 to 11 years as depicted below.
Paste it to your clipboard using your mouse. Use only the numbers, not
the month.
Apply statdisk and paste it on statdisk. You are then required to select
which column to be used. You have to choose column 1.
Week 1 DQ 2
There are two broad areas of statistics: inferential and descriptive. In
inferential statistics, we use analytical methods to derive meaning from
our data. In descriptive statistics, we study effective ways to describe the
data. Charts and graphs are very important in descriptive statistics.
Compare the graphs in Figures 2-6, 2-7, and 2-10 in the text. What does
each graph communicate? How effective is each graph in
communicating this information? How would you choose the kind of
graph to use for a specific project? Give an example
******************************************
MTH 231 Week 1 Individual Assignment
Populations and Sampling Paper

Resources: Ch. 1 of the text, the Internet, and the University Library
Consider how life sciences researchers collect information from samples
to learn about populations.
Write a 700- to 1,050-word paper about sampling from populations.
Include the following information:
Define population and describe the characteristics of a population.
Define sample and describe the characteristics of a sample.
Compare samples and populations and explain how the concepts are
related. Provide examples to illustrate your arguments.
Explain how to increase the chance that a sample is representative of a
chosen population. Provide an example.
Describe random sampling and its benefits for research.
Cite at least two references.
Format your paper consistent with APA guidelines.
******************************************

Week 2 DQ 1
Suppose a birdwatcher averages spotting 0.3 rare finches every day
during the two hours allotted for watching. This means that the
birdwatcher spots, on average, three rare finches every 10 days. The
average is based on considerable experience. Over a given 10-day
period, the birdwatcher sees zero rare finches in five days, and on the
sixth day, the birdwatcher declares, “I’m due to see a rare finch today.”
Assume that the environmental conditions are reasonably constant with
no seasonal migratory issues involved. There is reasonably consistent
weather and there are no confounding (lurking, unseen) variables
involved. There is, however, a flaw in the birdwatcher’s statement. What
is the error and why is it wrong?
Would you choose the binomial pdf (probability distribution function) or
would you choose the Poisson pdf to better analyze the birdwatcher's
scenario (Triola, Sec. 4.3 & 4.4, 2006)? State the necessary criteria for
each distribution and support your decision.
Triola, M. M., Triola, M. D., &Triola, M. F. (2006). Biostatistics for the
biological and health sciences. Retrieved from The University of
Phoenix eBook Collection database.
Week 2 DQ 2
Read the article What are Relative Risk, Number Needed to Treat and
Odds Ratio? from the Electronic Reserve Readings on the Materials web
page for Week 2. Summarize the measures of relative risk, number
needed to treat, and odds ratios. In your opinion, which of these
measures is most informative? Why are they frequently used together?
Explain.
******************************************

MTH 231 Week 2 Individual Assignment Data-
Organizing, Summarizing, Probability, and
Distribution Worksheet
Resources: Ch. 2–4 and Appendix B of the text and Statdisk
Complete the University of Phoenix Material: Data—Organizing,
Summarizing, Probability, and Distribution Worksheet located in Week
Two of the student website (Materials web page).
******************************************
Week 3 DQ 1

What are the characteristics of a normal probability distribution function
(pdf).
What is the standard normal pdf? How is it related to the normal pdf and
why is it useful?
Explain the Empirical Rule? Is it used for rough estimates or precise
calculations?
Briefly tell how to use Table A-2 in the Appendix of our text to calculate
z-values (Triola, 2006). How is area under the standard normal curve
related to probability? Is the table arranged so that probability is
cumulative from the left or from the right?
Briefly tell how Statdisk may be used to give even more accurate table
values (Statdisk>> Analysis >> Probability Distributions >> Normal
Distribution).
Week 3 DQ 2
Precisely, in simple language, what is a confidence interval?
What is the difference between a statistic that is a point estimator and
one that is an interval estimator? When might you prefer an interval
estimator over a point estimator?
What is a confidence level with respect to a confidence interval?
What is a critical value and why is it important?
What happens to the margin of error for a confidence interval when the
sample size is increased? How is the margin of error related to the width
of the confidence interval? State this relationship in mathematical terms.

What happens to the width of the confidence interval if the confidence
level is increased from 95% to 99%? That is, does the width increase or
decrease? Why?
What happens to the width of the confidence interval if n, the size of the
sample, is increased? Why?
For additional participation credit, also comment within the thread of the
message posted in the Main Forum: Example: Using Statdisk to Find a
Confidence Interval
******************************************
MTH 231 Week 3 Team Assignment Life Sciences
Article Analysis
Resources: Ch. 3 and 4 of the text, the Week Two Electronic
Reserve Readings “Fetal Deaths and Proximity to Hazardous Waste
Sites in Washington State” and “Intensive Lipid Lowering With
Atorvastatin in Patients With Coronary Artery Disease, Diabetes, and
Chronic Kidney Disease,” the Internet, and the University Library
Discuss the methodology of life sciences researchers in the two articles.
Explore the data collection and analysis techniques used by the authors
of these articles in preparation for the Life Sciences Article Analysis.

Write a 1,050- to 1,750-word paper about dependence and probability.
Discuss the following questions:
What population is researched in each article?
What data are collected by the authors in each article? What are the
independent events or variables? What are the dependent events or
variables? Evaluate whether the authors make appropriate claims related
to the independence or dependence of the events or variables they
investigate.
Explain relative risk, odds ratios, and fetal death rates. Describe the use
of these tools in the article “Fetal Deaths and Proximity to Hazardous
Waste Sites in Washington State.”
Explain absolute risk reduction and number needed to treat.
Describe the use of these tools in the article “Intensive Lipid
Lowering With Atorvastatin in Patients With Coronary Artery Disease,
Diabetes, and Chronic Kidney Disease.”
Summarize how communication of scientific findings is facilitated with
the concept of dependence and with tools for expressing probability.
Cite at least four references.
Format your paper consistent with APA guidelines.
******************************************
Week 4 DQ 1

State the criteria for choosing a t-test and a z-test. Then give an example
of a problem in which you would use z-test to evaluate the data. Next,
take the same example and modify it so that a t-test would be preferable.
Explain why.
Week 4 DQ 2
In general terms:
· What is a null hypothesis?
· What is an alternative hypothesis?
Under American criminal jurisprudence, the accused is presumed
innocent until proven guilty beyond the “shadow of a doubt.”
· What is the null hypothesis?
· What is the alternative hypothesis?
· Explain how the Type I and Type II errors apply to the court system.
· In court, what is the equivalent of the test statistic upon which the
decision is based?
· In statistical terms, how would you define “shadow of a doubt?”
· In statistics, why should the decision always be stated in terms of the
null hypothesis? (That is: reject the null hypothesis or fail to reject the
null hypothesis.)
******************************************
MTH 231 Week 4 Individual Assignment
Distribution, Hypothesis Testing, and Error
Worksheet

Resources: Ch. 5–7 of the text and Statdisk
Complete the University of Phoenix Material: Distribution,
Hypothesis Testing, and Error Worksheet, located in Week Four of the
student website.
******************************************
MTH 231 Week 4 Team Assignment Confidence
Intervals in the Life Sciences Presentation
Resources: Ch. 5 and 6 of the text, the University Library, the Internet,
and Statdisk
Identify a normally distributed variable related to your chosen life
science that serves as your example variable. Review the data sets
presented in Appendix B of the text and in Statdisk, selecting one that
corresponds with your chosen life science. Choose a particular variable
you would like to explore and use Statdisk to determine if its distribution
is approximately normal.
Note. Data Set 5: Passive and Active Smoke in the text does not include
normally distributed data and may not be used in this project.

Prepare a 12- to 15-slide Microsoft® PowerPoint® presentation that
explains confidence intervals in your chosen life science. Imagine that
you are responsible for educating first-year college students who are
majoring in your chosen life science. Explain to the students how and
why confidence intervals relate to their field.
Discuss the following questions:
What is a normal distribution? Describe your example variable and
explain why normally distributed data is important in your chosen life
science. Show the distribution of your example variable in a Statdisk-
generated image and demonstrate how to calculate the probability of a
range of values within this normal distribution.
What is a standard normal distribution? How does it differ from other
normal distributions? Convert the normally distributed example variable
within your chosen life science to a standard normal distribution. Show
this example in a Statdisk-generated image and demonstrate how to
calculate the probability of a range of values within this standard normal
distribution.
What is a confidence interval? Outline how confidence intervals may be
used in your chosen life science. Demonstrate how to define confidence
intervals within the normal distribution example variable.
What is a confidence level? Show how a confidence level relates to the
confidence interval using the example variable.
What is a critical value? Show how critical values relate to the
confidence interval using the example variable.
What is a margin of error? Describe how a margin of error relates to
confidence intervals and to your chosen life science.
Provide an example related to your example variable.
What is a point estimate? Explain how a point estimate found from a
confidence interval would be applied in your chosen life science.
Provide an example related to your example variable.
What can a confidence interval tell researchers in your chosen life
science about an estimate of population mean? Provide an example
related to your example variable.

What can a confidence interval tell researchers in your chosen life
science about an estimate of population variance? Provide an example
related to your example variable.
Include a title slide and conclusion slide, and cite at least four references
on a references slide.
Present the information about confidence intervals and your chosen life
science to the instructor and the class just as you would to first year
college students who need this information.
For Local Campus students, these are oral presentations accompanied by
Microsoft® PowerPoint® presentations.
For Online and Directed Study students, these are Microsoft®
PowerPoint® presentations with notes.
Discuss with your classmates and answer questions
******************************************
MTH 231 Week 5 Final Exam Guide
We have another set of MTH 231 Final, which could be found on this
link
MTH 231 Week 5 Final Exam

Use this worksheet for your answers. Your score, based on the points
shown for this exam in the rubric, will be corrected to the basis points
shown for the final exam in the syllabus. Submit to the Assignments
Section by 11:59 pm of the last day of class. Late work will not be
accepted.
1. The following are the scores obtained by 30 students in
epidemiology test:
83 67 94 77 55 82
79 72 88 65 81 63
92 61 85 71 79 70
89 52 66 63 75 84
99 81 73 79 68 77
a) Apply the Statdisk and look for the user-defined relative
frequency histogram having a class width of 10 from 50. The labels must
be “on”. Copy the histogram in this sheet.
b) Look for the Normality Assessment using the Statdisk.
Does it show the sample from the normal population?
Are the results from the histogram and the test results the same with
regard to normality?
What did you apply for the alpha level of the test? 0
c) Refer to the Statdisk, get the descriptive statistics of the data
below:
Mean
Median
Standard Deviation
Range
Midrange
d) Sarah got 79 in her exam. The z-score is shown below:
0.2927
2. The die rolled once with the events as shown:
A: Event F: Roll an even number
B: Event J: Roll 1, 2, 3, or 4
a) Define the term mutually exclusive.

There are two events which are independent and the existence of the first
event has nothing to do with the existence of another.
b) What set has mutually exclusive events? A, B, Both, or Neither?
A
3. Every person at St. Goodenough Hospital is categorized as below
average, average, or above average with regard to the understanding.
They are also divided as fair, good, or excellent. The evaluation is
shown below:
----Potential for Advancement----
Prof. Knowledge Fair Good Excellent
Below Average 16 12 22
Average 45 60 45
Above Average 93 72 135
a) Get the probability of the chosen employee at random having the
excellent potential advancement.
b) Get the probability of the person being selected at random who is
having an average or above average professional knowledge, as well as
excellent potential advancement.
4. Correctly, what is the Central Limit Theorem (CLT)? Explain in
full detail why is it essential?
1) When the samples of size of at least 30 came from random
population, then the sampling distribution have an estimated normal
distribution;
2) If the population is distributed accordingly, then the sampling
distribution have a normal distribution as well.
3) For any kind of sample size, the population is normally
distributed.
4) This is beyond the result of CLT, than the accurate statement of
it.
The CLT is essential because it provides the sampling distribution of the
sample means.
5. Indicate whether each statement is valid with a “Yes” or “No.”
a. Under particular limitations, the binomial distribution can be
estimate by the normal distribution allowing us to apply the normal
distribution for computation with the binomial distribution.

b. As what has been stated in CLT, the sampling distribution of the
sampling mean estimates the normal distribution in a manner that it may
not enhance the size of the given samples.
c. The CLT may not be used until the population probability
distribution become identifiable.
d. No proof was used in CLT. It still a hypothesis
6. The post anaesthesia care area (recovery room) at St. Luke’s
Hospital in Pflugerville, Ontario, was broadened. The move will mean
that the mean number of people per day can also be enlarged. A random
sampling was conducted in order to determine the patients coming after
the broadening.
25 27 25 26 25 28 28 27 24 26 25 29 25 27 24
a What is the null hypothesis? The mean number of patients per
day arrived to be 25 or less.
b What is the alternative hypothesis? The mean number of
patients per day will be greater than 25
c What specific test will you use to test the hypotheses at α = 0.05?
t-test
d What is the p-value for the test? p = 0.0087
e Interpret the meaning of this p-value. The probability of arriving
with the test statistics is 2.6935 if the null hypothesis holds to be true.
This is the value used in t-statistic excluding the null hypothesis.
f What is the critical value for the test? (Assume α = 0.05.) cv =
1.7613
g Interpret the meaning of this critical value. If we like to
manipulate the type I error to become 0.05 or lesser, then the greatest
value for the test should be1.7613.
There must be more explanation here.
h Is there sufficient statistical evidence at the 0.05 significance
level to reject the null hypothesis? Yes, because the p-value is less than
0.05.
i Is this a right-tail test, left-tail test, or two-tail test? Right-tail test
7 Choose one best answer among the given options.
a) There are a lot of values

b) A range of values is formulated from the given data in order to
present the parameyers inside the range at a particular probability: a
confidence interval
(1) the population parameter
(2) a point estimate
(3) the mean of the population
c) What affects the sample error aside from the standard deviation?
a confidence interval
(1) the population parameter
(2) the point estimate
(3) the sample size
d) For example, you have 100 sample population, for every sample
you establish 95% confidence interval for the mean. WE are right to
assume that 95% of the confidence interval is one of the following:
(1) a sample mean
(2) the population mean
(3) a point estimate
(4) the standard deviation of the population
e) The t-distribution is applied if the population has one of the
following aside from having a normal distribution:
(1) the population standard deviation is unknown
(2) the population standard deviation is known
(3) the mean of the population is unknown
(4) the point estimate is known
8 As part of the protocol, the Keystone Police selected 65
ambulances and inspect their tires. The sample mean for this was 32 32
lbs/sq. in. While the standard deviation was 2lbs/sq. in. Get the 98%
confidence interval of said population. You may refer to Statdisk.
a Confidence Interval:
b Margin of Error:
c With a larger sample size, would you expect the margin of error
to increase or decrease?
9 Get the right and precise response for the following:
a) Define correlation analysis

b) In what manner that the dependent variable in correlation is
being determined? What is the other term for it?
c) In what manner that the dependent variable in correlation is
being determined? What is the other term for it?
Based on the study, the independent variable pertains to the value that
can changed and controlled by the research. It is assumable variable in
the research.
d) Is there causality present on both variables? Explain
The relationship of the two variables does not indicate any causality, it
only suggests that there is a linear relationship existing in both variables,
but does not show any kind of causality.
10 Look for the incorrect portion among the statements below about
the coefficient of correlation
a) It can cover from -1 to +1.
b) The square is the coefficient of identification.
c) It pertains to the rate of variation discussed.
d) It is a shows the relationship between two variables.
11 A research was formulated about the automobile speeds of a
particular model and the outcome fuel consumption rank. Think that the
data provided below was randomly gathered. Refer to the Statdisk in
order to answer the statements below.
a. Calculate the coefficient thru the Statdisk
b. Explain the outcome of your computation
Speed MPG
45 33
52 32
49 28
60 26
67 22
61 21
a What is the coefficient or correlation and interpret and define it
as well r = -0.877
b What is the coefficient of determination and describe it as well.
r2 = 0.769

c Identify the relationship of speed and mpg in layman’s term
referring to the result of your computation. It suggests that there is a
negative correlation exiting on speed and mpg
d What statistic should we use in order to get the variance?
76.9% of can be explained by the regression model.
12 Immediately after the 9-11 incident, America Online conducted a
survey about: the reestablishment of World Trade Center. The responses
are the following:
Yes - 768,731
No -286,756
Too soon to decide
The respondents who participate is of large number, is it the
representation of the entire US population?
13 What level of measurement should be used on the following:
(nominal, ordinal, interval, ratio)
a) The weight of the airplane passengers
b) How the doctor describe the following: “abstains from alcohol,
light drinker, moderate drinker, heavy drinker” ¬¬¬¬¬¬¬¬¬¬¬¬¬¬
c) The questions about the emotions of people during the day
ranging from 1-10 scale
d) The following colors: red, blue, white, tan, black, yellow
******************************************
MTH 231 Week 5 Team Assignment Hypothesis
Testing and Correlation Worksheet

Resources: Ch. 7 and 8 and sections 9-1 and 9-2 in Ch. 9 of the text
Complete the University of Phoenix Material: Hypothesis Testing and
Correlation Worksheet, located in Week Five of the student website.
******************************************

Mth 231 Education Redefined - snaptutorial.com

Recommended

Recommended

More Related Content

What's hot

What's hot (14)

Similar to Mth 231 Education Redefined - snaptutorial.com

Similar to Mth 231 Education Redefined - snaptutorial.com (20)

Recently uploaded

Recently uploaded (20)

Mth 231 Education Redefined - snaptutorial.com