Second Course in Statistics Regression Analysis 7th Edition Mendenhall Soluti...ryfomoluq
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Second Course in Statistics Regression Analysis 7th Edition Mendenhall Solutions Manual
Second Course in Statistics Regression Analysis 7th Edition Mendenhall Soluti...ryfomoluq
Full download : https://alibabadownload.com/product/second-course-in-statistics-regression-analysis-7th-edition-mendenhall-solutions-manual/
Second Course in Statistics Regression Analysis 7th Edition Mendenhall Solutions Manual
InstructionDue Date 6 pm on October 28 (Wed)Part IProbability a.docxdirkrplav
InstructionDue Date: 6 pm on October 28 (Wed)
Part IProbability and Sampling Distributions1.Thinking about probability statements. Probability is measure of how likely an event is to occur. Match one of probabilities that follow with each statement of likelihood given (The probability is usually a more exact measure of likelihood than is the verbal statement.)Answer0 0.01 0.3 0.6 0.99 1(a) This event is impossible. It can never occur.(b) This event is certain. It will occur on every trial.(c) This event is very unlikely, but it will occur once in a while in a long sequence of trials.(d) This event will occur more often that not.2. Spill or Spell? Spell-checking software catches "nonword errors" that result in a string of letters that is not a word, as when "the" is typed as "the." When undergraduates are asked to write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution:Value of X01234Probability0.10.20.30.30.1(a) Check that this distribution satisfies the two requirements for a legitimate assignment of probabilities to individual outcomes.(b) Write the event "at least one nonword error" in term of X (for example, P(X >3)). What is the probability of this event?(c) Describe the event X ≤ 2 in words. What is its probability? 3. Discrete or continuous? For each exercise listed below, decide whether the random variable described is discrete or continuous and explains the sample space.(a) Choose a student in your class at random. Ask how much time that student spent studying during the past 24 hours.(b) In a test of a new package design, you drop a carton of a dozen eggs from a height of 1 foot and count the number of broken eggs.(c) A nutrition researcher feeds a new diet to a young male white rat. The response variable is the weight (in grams) that the rat gains in 8 weeks.4. Tossing Coins(a) The distribution of the count X of heads in a single coin toss will be as follows. Find the mean number of heads and the variance for a single coin toss.Number of Heads (Xi)01mean:Probability (Pi)0.50.5variance:(b) The distribution of the count X of heads in four tosses of a balanced coin was as follows but some missing probabilities. Fill in the blanks and then find the mean number of heads and the variance for the distribution with assumption that the tosses are independent of each other.Number of Heads (Xi)01234mean:Probability (Pi)0.06250.0625variance:(c) Show that the two results of the means (i.e. single toss and four tosses) are related by the addition rule for means. (d) Show that the two results of the variances (i.e. single toss and four tosses) are related by the addition rule for variances (note: It was assumed that the tosses are independent of each other). 5. Generating a sampling distribution. Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small .
Midterm 2 – Practice Exercises
1
1. The amount of material used in making a custom sail for a sailboat is normally
distributed with a standard deviation of 64 square feet. For a random sample of 15
sails, the mean amount of material used is 912 square feet. Which of the following
represents a 99% confidence interval for the population mean amount of material
used in a custom sail?
A. 912 ± 49.2
B. 912 ± 42.6
C. 912 ± 44.3
D. 912 ± 46.8
2. The number of beverage cans produced each hour from a vending machine is
normally distributed with a standard deviation of 8.6. For a random sample of 12
hours, the average number of beverage cans produced was 326.0. Assume a 99%
confidence interval for the population mean number of beverage cans produced
per hour. Calculate the margin of error of the 99% confidence interval.
A. 1.85
B. 3.60
C. 6.41
D. 10.56
3. The number of beverage cans produced each hour from a vending machine is
normally distributed with a standard deviation of 8.6. For a random sample of 12
hours, the average number of beverage cans produced was 326.0. Assume a 99%
confidence interval for the population mean number of beverage cans produced
per hour. Find the upper confidence limit of the 99% confidence interval.
A. 340.25
B. 325.98
C. 319.59
D. 332.41
4. If we change a 95% confidence interval estimate to a 99% confidence interval
estimate, we can expect
A. the size of the confidence interval to increase
B. the size of the confidence interval to decrease
C. the size of the confidence interval to remain the same
D. the sample size to increase
Midterm 2 – Practice Exercises
2
5. If a sample has 20 observations and a 90% confidence estimate for µ is needed,
the appropriate t‐score is:
A. 2.120
B. 1.746
C. 2.131
D. 1.729
6. We are interested in conducting a study to determine what percentage of voters
would vote for the incumbent member of parliament. What is the minimum size
sample needed to estimate the population proportion with a margin of error of
0.07 or less at 95% confidence?
A. 200
B. 100
C. 58
D. 196
7. The sample size needed to provide a margin of error of 2 or less with a 0.95
confidence coefficient when the population standard deviation equals 11 is
A. 10
B. 11
C. 116
D. 117
8. The manager of the local health club is interested in determining the number of
times members use the weight room per month. She takes a random sample of 15
members and finds that over the course of a month, the average number of visits
was 11.2 with a standard deviation of 3.2. Assuming that the monthly number of
visits is normally distributed, which of the following represents a 95% confidence
interval for the average monthly usage of all health club members?
A. 11.2 ± 1.74
B. 11.2 ± 1.77
C. 11.2 ± 1.62
D. 11.2 ± 1.83
Midterm 2 – Practice Exercises
3
9. The s.
Midterm 2 – Practice Exercises
1
1. The amount of material used in making a custom sail for a sailboat is normally
distributed with a standard deviation of 64 square feet. For a random sample of 15
sails, the mean amount of material used is 912 square feet. Which of the following
represents a 99% confidence interval for the population mean amount of material
used in a custom sail?
A. 912 ± 49.2
B. 912 ± 42.6
C. 912 ± 44.3
D. 912 ± 46.8
2. The number of beverage cans produced each hour from a vending machine is
normally distributed with a standard deviation of 8.6. For a random sample of 12
hours, the average number of beverage cans produced was 326.0. Assume a 99%
confidence interval for the population mean number of beverage cans produced
per hour. Calculate the margin of error of the 99% confidence interval.
A. 1.85
B. 3.60
C. 6.41
D. 10.56
3. The number of beverage cans produced each hour from a vending machine is
normally distributed with a standard deviation of 8.6. For a random sample of 12
hours, the average number of beverage cans produced was 326.0. Assume a 99%
confidence interval for the population mean number of beverage cans produced
per hour. Find the upper confidence limit of the 99% confidence interval.
A. 340.25
B. 325.98
C. 319.59
D. 332.41
4. If we change a 95% confidence interval estimate to a 99% confidence interval
estimate, we can expect
A. the size of the confidence interval to increase
B. the size of the confidence interval to decrease
C. the size of the confidence interval to remain the same
D. the sample size to increase
Midterm 2 – Practice Exercises
2
5. If a sample has 20 observations and a 90% confidence estimate for µ is needed,
the appropriate t‐score is:
A. 2.120
B. 1.746
C. 2.131
D. 1.729
6. We are interested in conducting a study to determine what percentage of voters
would vote for the incumbent member of parliament. What is the minimum size
sample needed to estimate the population proportion with a margin of error of
0.07 or less at 95% confidence?
A. 200
B. 100
C. 58
D. 196
7. The sample size needed to provide a margin of error of 2 or less with a 0.95
confidence coefficient when the population standard deviation equals 11 is
A. 10
B. 11
C. 116
D. 117
8. The manager of the local health club is interested in determining the number of
times members use the weight room per month. She takes a random sample of 15
members and finds that over the course of a month, the average number of visits
was 11.2 with a standard deviation of 3.2. Assuming that the monthly number of
visits is normally distributed, which of the following represents a 95% confidence
interval for the average monthly usage of all health club members?
A. 11.2 ± 1.74
B. 11.2 ± 1.77
C. 11.2 ± 1.62
D. 11.2 ± 1.83
Midterm 2 – Practice Exercises
3
9. The s ...
1 Review and Practice Exam Questions for Exam 2 Lea.docxmercysuttle
1
Review and Practice Exam Questions for Exam 2
Learning Objectives:
Chapter 17: Thinking about chance
• Explain how random events behave in the short run and in the long run and how random and
haphazard are not the same thing.
• Perform basic probability calculations using die rolls and coin tosses.
• Define probability, and apply the rules for probability.
• Explain whether the law of averages is true.
• Explain how personal probability differs from a scientific or experimental probability.
Chapter 18: Probability models
• Define a probability model. Create a probability model for a particular story’s events.
• Apply the basic rules of probability to a story problem.
• Calculate probabilities using a probability model, including summing up probabilities or
subtracting probabilities from the total.
• Define a sampling distribution.
Chapter 20: The house edge: expected values
• Define expected value, and calculate the expected value when given a probability model.
• Define the law of large numbers, and explain how it is different from the mythical “law of
averages.”
• Explain how casinos and insurance companies stay in business and make money.
Chapter 13: The Normal distribution
• Identify data that is Normally distributed.
• Discuss how the shape/position of the Normal curve changes when the standard deviation
increases/decreases or when the mean increases/decreases.
• Define the standardized value or Z-score. Calculate the Z-score, and use the Z-score to do
comparisons.
• Calculate probabilities and cut-off values using the 68%-95%-99.7% (Empirical) Rule.
• Identify the mean, standard deviation, cut-off value, probability, and Z-score on a Normal curve.
• Use the Normal table to get percentiles (probabilities) for forward problems and to get Z-scores
in order to determine cut-offs for backward problems using both > and < in the inequalities.
• Recognize whether a story is a forward or backward Normal distribution problem, and perform
the appropriate calculations showing correct notation, the initial probability expression, and all
necessary steps.
2
Chapter 21: What is a confidence interval?
• Define statistical inference and explain when statistical inference is used.
• Explain what the confidence interval means and whether the results refer to the population or
the sample.
• Calculate the margin of error and identify the margin of error in a confidence statement.
Explain what type of error is covered in the margin of error.
• Determine whether a story is better described with a proportion or a mean.
• Use appropriate notation for proportions and means, both in the population and the sample.
• Calculate a confidence interval for a proportion and for a mean.
• Describe how increasing/decreasing the sample size or confidence level changes the margin of
error (width of the confidence interval).
• Apply cautions for using confidence inte ...
QNT 561 Week 2 Weekly Learning Assessments - Score more in the weakly learning assignments by getting instant professional help from our learned experts.
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 3
Practice Test Chapter 6 (Normal Probability Distributions)
Chapter 6: Normal Probability Distributions
QNT Weekly learning assessments - Questions and Answers | UOP E AssignmentsUOP E Assignments
What the benefits of learning QNT 561 Weekly Learning Assessments ? Know from UOP E Assignments which is the largest going online educational portal whose motive is to provide best knowledge to UOP students for final exam. You get QNT 561 weekly learning assessments question and answers, QNT 561 weekly learning assessments 30 questions, QNT 561 weekly learning assessments quiz 1 answers etc in USA.
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InstructionDue Date 6 pm on October 28 (Wed)Part IProbability a.docxdirkrplav
InstructionDue Date: 6 pm on October 28 (Wed)
Part IProbability and Sampling Distributions1.Thinking about probability statements. Probability is measure of how likely an event is to occur. Match one of probabilities that follow with each statement of likelihood given (The probability is usually a more exact measure of likelihood than is the verbal statement.)Answer0 0.01 0.3 0.6 0.99 1(a) This event is impossible. It can never occur.(b) This event is certain. It will occur on every trial.(c) This event is very unlikely, but it will occur once in a while in a long sequence of trials.(d) This event will occur more often that not.2. Spill or Spell? Spell-checking software catches "nonword errors" that result in a string of letters that is not a word, as when "the" is typed as "the." When undergraduates are asked to write a 250-word essay (without spell-checking), the number X of nonword errors has the following distribution:Value of X01234Probability0.10.20.30.30.1(a) Check that this distribution satisfies the two requirements for a legitimate assignment of probabilities to individual outcomes.(b) Write the event "at least one nonword error" in term of X (for example, P(X >3)). What is the probability of this event?(c) Describe the event X ≤ 2 in words. What is its probability? 3. Discrete or continuous? For each exercise listed below, decide whether the random variable described is discrete or continuous and explains the sample space.(a) Choose a student in your class at random. Ask how much time that student spent studying during the past 24 hours.(b) In a test of a new package design, you drop a carton of a dozen eggs from a height of 1 foot and count the number of broken eggs.(c) A nutrition researcher feeds a new diet to a young male white rat. The response variable is the weight (in grams) that the rat gains in 8 weeks.4. Tossing Coins(a) The distribution of the count X of heads in a single coin toss will be as follows. Find the mean number of heads and the variance for a single coin toss.Number of Heads (Xi)01mean:Probability (Pi)0.50.5variance:(b) The distribution of the count X of heads in four tosses of a balanced coin was as follows but some missing probabilities. Fill in the blanks and then find the mean number of heads and the variance for the distribution with assumption that the tosses are independent of each other.Number of Heads (Xi)01234mean:Probability (Pi)0.06250.0625variance:(c) Show that the two results of the means (i.e. single toss and four tosses) are related by the addition rule for means. (d) Show that the two results of the variances (i.e. single toss and four tosses) are related by the addition rule for variances (note: It was assumed that the tosses are independent of each other). 5. Generating a sampling distribution. Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small .
Midterm 2 – Practice Exercises
1
1. The amount of material used in making a custom sail for a sailboat is normally
distributed with a standard deviation of 64 square feet. For a random sample of 15
sails, the mean amount of material used is 912 square feet. Which of the following
represents a 99% confidence interval for the population mean amount of material
used in a custom sail?
A. 912 ± 49.2
B. 912 ± 42.6
C. 912 ± 44.3
D. 912 ± 46.8
2. The number of beverage cans produced each hour from a vending machine is
normally distributed with a standard deviation of 8.6. For a random sample of 12
hours, the average number of beverage cans produced was 326.0. Assume a 99%
confidence interval for the population mean number of beverage cans produced
per hour. Calculate the margin of error of the 99% confidence interval.
A. 1.85
B. 3.60
C. 6.41
D. 10.56
3. The number of beverage cans produced each hour from a vending machine is
normally distributed with a standard deviation of 8.6. For a random sample of 12
hours, the average number of beverage cans produced was 326.0. Assume a 99%
confidence interval for the population mean number of beverage cans produced
per hour. Find the upper confidence limit of the 99% confidence interval.
A. 340.25
B. 325.98
C. 319.59
D. 332.41
4. If we change a 95% confidence interval estimate to a 99% confidence interval
estimate, we can expect
A. the size of the confidence interval to increase
B. the size of the confidence interval to decrease
C. the size of the confidence interval to remain the same
D. the sample size to increase
Midterm 2 – Practice Exercises
2
5. If a sample has 20 observations and a 90% confidence estimate for µ is needed,
the appropriate t‐score is:
A. 2.120
B. 1.746
C. 2.131
D. 1.729
6. We are interested in conducting a study to determine what percentage of voters
would vote for the incumbent member of parliament. What is the minimum size
sample needed to estimate the population proportion with a margin of error of
0.07 or less at 95% confidence?
A. 200
B. 100
C. 58
D. 196
7. The sample size needed to provide a margin of error of 2 or less with a 0.95
confidence coefficient when the population standard deviation equals 11 is
A. 10
B. 11
C. 116
D. 117
8. The manager of the local health club is interested in determining the number of
times members use the weight room per month. She takes a random sample of 15
members and finds that over the course of a month, the average number of visits
was 11.2 with a standard deviation of 3.2. Assuming that the monthly number of
visits is normally distributed, which of the following represents a 95% confidence
interval for the average monthly usage of all health club members?
A. 11.2 ± 1.74
B. 11.2 ± 1.77
C. 11.2 ± 1.62
D. 11.2 ± 1.83
Midterm 2 – Practice Exercises
3
9. The s.
Midterm 2 – Practice Exercises
1
1. The amount of material used in making a custom sail for a sailboat is normally
distributed with a standard deviation of 64 square feet. For a random sample of 15
sails, the mean amount of material used is 912 square feet. Which of the following
represents a 99% confidence interval for the population mean amount of material
used in a custom sail?
A. 912 ± 49.2
B. 912 ± 42.6
C. 912 ± 44.3
D. 912 ± 46.8
2. The number of beverage cans produced each hour from a vending machine is
normally distributed with a standard deviation of 8.6. For a random sample of 12
hours, the average number of beverage cans produced was 326.0. Assume a 99%
confidence interval for the population mean number of beverage cans produced
per hour. Calculate the margin of error of the 99% confidence interval.
A. 1.85
B. 3.60
C. 6.41
D. 10.56
3. The number of beverage cans produced each hour from a vending machine is
normally distributed with a standard deviation of 8.6. For a random sample of 12
hours, the average number of beverage cans produced was 326.0. Assume a 99%
confidence interval for the population mean number of beverage cans produced
per hour. Find the upper confidence limit of the 99% confidence interval.
A. 340.25
B. 325.98
C. 319.59
D. 332.41
4. If we change a 95% confidence interval estimate to a 99% confidence interval
estimate, we can expect
A. the size of the confidence interval to increase
B. the size of the confidence interval to decrease
C. the size of the confidence interval to remain the same
D. the sample size to increase
Midterm 2 – Practice Exercises
2
5. If a sample has 20 observations and a 90% confidence estimate for µ is needed,
the appropriate t‐score is:
A. 2.120
B. 1.746
C. 2.131
D. 1.729
6. We are interested in conducting a study to determine what percentage of voters
would vote for the incumbent member of parliament. What is the minimum size
sample needed to estimate the population proportion with a margin of error of
0.07 or less at 95% confidence?
A. 200
B. 100
C. 58
D. 196
7. The sample size needed to provide a margin of error of 2 or less with a 0.95
confidence coefficient when the population standard deviation equals 11 is
A. 10
B. 11
C. 116
D. 117
8. The manager of the local health club is interested in determining the number of
times members use the weight room per month. She takes a random sample of 15
members and finds that over the course of a month, the average number of visits
was 11.2 with a standard deviation of 3.2. Assuming that the monthly number of
visits is normally distributed, which of the following represents a 95% confidence
interval for the average monthly usage of all health club members?
A. 11.2 ± 1.74
B. 11.2 ± 1.77
C. 11.2 ± 1.62
D. 11.2 ± 1.83
Midterm 2 – Practice Exercises
3
9. The s ...
1 Review and Practice Exam Questions for Exam 2 Lea.docxmercysuttle
1
Review and Practice Exam Questions for Exam 2
Learning Objectives:
Chapter 17: Thinking about chance
• Explain how random events behave in the short run and in the long run and how random and
haphazard are not the same thing.
• Perform basic probability calculations using die rolls and coin tosses.
• Define probability, and apply the rules for probability.
• Explain whether the law of averages is true.
• Explain how personal probability differs from a scientific or experimental probability.
Chapter 18: Probability models
• Define a probability model. Create a probability model for a particular story’s events.
• Apply the basic rules of probability to a story problem.
• Calculate probabilities using a probability model, including summing up probabilities or
subtracting probabilities from the total.
• Define a sampling distribution.
Chapter 20: The house edge: expected values
• Define expected value, and calculate the expected value when given a probability model.
• Define the law of large numbers, and explain how it is different from the mythical “law of
averages.”
• Explain how casinos and insurance companies stay in business and make money.
Chapter 13: The Normal distribution
• Identify data that is Normally distributed.
• Discuss how the shape/position of the Normal curve changes when the standard deviation
increases/decreases or when the mean increases/decreases.
• Define the standardized value or Z-score. Calculate the Z-score, and use the Z-score to do
comparisons.
• Calculate probabilities and cut-off values using the 68%-95%-99.7% (Empirical) Rule.
• Identify the mean, standard deviation, cut-off value, probability, and Z-score on a Normal curve.
• Use the Normal table to get percentiles (probabilities) for forward problems and to get Z-scores
in order to determine cut-offs for backward problems using both > and < in the inequalities.
• Recognize whether a story is a forward or backward Normal distribution problem, and perform
the appropriate calculations showing correct notation, the initial probability expression, and all
necessary steps.
2
Chapter 21: What is a confidence interval?
• Define statistical inference and explain when statistical inference is used.
• Explain what the confidence interval means and whether the results refer to the population or
the sample.
• Calculate the margin of error and identify the margin of error in a confidence statement.
Explain what type of error is covered in the margin of error.
• Determine whether a story is better described with a proportion or a mean.
• Use appropriate notation for proportions and means, both in the population and the sample.
• Calculate a confidence interval for a proportion and for a mean.
• Describe how increasing/decreasing the sample size or confidence level changes the margin of
error (width of the confidence interval).
• Apply cautions for using confidence inte ...
QNT 561 Week 2 Weekly Learning Assessments - Score more in the weakly learning assignments by getting instant professional help from our learned experts.
Please Subscribe to this Channel for more solutions and lectures
http://www.youtube.com/onlineteaching
Elementary Statistics Practice Test 3
Practice Test Chapter 6 (Normal Probability Distributions)
Chapter 6: Normal Probability Distributions
QNT Weekly learning assessments - Questions and Answers | UOP E AssignmentsUOP E Assignments
What the benefits of learning QNT 561 Weekly Learning Assessments ? Know from UOP E Assignments which is the largest going online educational portal whose motive is to provide best knowledge to UOP students for final exam. You get QNT 561 weekly learning assessments question and answers, QNT 561 weekly learning assessments 30 questions, QNT 561 weekly learning assessments quiz 1 answers etc in USA.
http://www.uopeassignments.com/university-of-phoenix/QNT-561/Weekly-Learning-Assessments.html
Answer all 20 questions. Make sure your answers are as complet.docxfestockton
Answer all 20 questions. Make sure your answers are as complete as possible, particularly when it asks for you to show
your work. Answers that come straight from calculators, programs or software packages without any explanation will
not be accepted. If you need to use technology (for example, Excel, online or hand-held calculators, statistical packages)
to aid in your calculation, you must cite the sources and explain how you get the results. For example, state the Excel
function along with the required parameters when using Excel; describe the detailed steps when using a hand-held
calculator; or provide the URL and detailed steps when using an online calculator, and so on.
Record your answers and work on the separate answer sheet provided.
This exam has 20 problems; 5% for each problems.
STAT 200: Introduction to Statistics
Final Examination, Fall 2019 OL1
1. You wish to estimate the mean cholesterol levels of patients two days after they had a heart attack. To estimate the
mean, you collect data from 28 heart patients. Justify for full credit.
(a) Which of the followings is the sample?
(i) Mean cholesterol levels of 28 patients recovering from a heart attack suffered two days ago
(ii) Cholesterol level of the person recovering from heart attack suffered two days ago
(iii) Set of all patients recovering from a heart attack suffered two days ago
(iv) Set of 28 patients recovering from a heart attack suffered two days ago
(b) Which of the followings is the variable?
(i) Mean cholesterol levels of 28 patients recovering from a heart attack suffered two days ago
(ii) Cholesterol level of the person recovering from heart attack suffered two days ago
(iii) Set of all patients recovering from a heart attack suffered two days ago
(iv) Set of 28 patients recovering from a heart attack suffered two days ago
2. Choose the best answer. Justify for full credit.
(a) The Knot.com surveyed nearly 13,000 couples, who married in 2017, and asked how much they spent on their
wedding. The average amount of money spent on was $33,391. The value $33,391 is a:
(i) parameter
(ii) statistic
(iii) cannot be determined from information provided.
(b) A marketing agent asked people to rank the quality of a new soap on a scale from 1 (poor) to 5 (excellent). The level
of this measurement is
(i) nominal
(ii) ordinal
(iii) interval
(iv) ratio
3. True or False. Justify for full credit.
(a) If the variance from a data set is zero, then all the observations in this data set must be identical.
(b) The median of a normal distribution curve is always zero.
4. A STAT 200 student is interested in the number of credit cards owned by college students. She surveyed all of her
classmates to collect sample data.
(a) What type of sampling method is being used?
(b) Please explain your answer.
5. A study was conducted to determine whether the mean braking distance of four-cylinder cars is greater than th ...
MATH 106 Finite Mathematics 2152-US1-4010-V1 MATH 106 Finite .docxandreecapon
MATH 106 Finite Mathematics 2152-US1-4010-V1
MATH 106 Finite Mathematics 2152-US1-4010-V1
MULTIPLE CHOICE
1. Which of the corner points for the system of linear inequalities graphed below maximizes the objective function P = 5x + 4y ?
1. _______
A. (0, 4) C. (1, 2)
B. (3, 0) D. (2, 0)
2. Find the equation of the line passing through (1, – 7) and (4, 1): 2. _______
A. 8x + 3y = – 13 B. 2x + y = – 5 C. 2x – y = 9 D. 8x – 3y = 29
3. A survey of 15 randomly selected students responded to the question “How many hours a day do you work on MATH 106?” as follows: 3, 2, 2, 4, 6, 5, 2, 5, 1, 4, 2, 3, 2, 3, 4 . Which histogram below accurately reflects the frequency distribution of the 15 students’ responses?
3. ______
HISTOGRAM A HISTOGRAM C
6
4
2
0
1 2 3 4 5 6
6
4
2
0
1 2 3 4 5 6
HISTOGRAM B HISTOGRAM D
8 6 4
2
0
1 2 3 4 5 6
8 6 4
2
0
1 2 3 4 5 6
4. Identify the single row operation that transforms the matrix as shown: 4. ________
A. 0.5𝑅1 → 𝑅1 C. 𝑅2 + 𝑅1 → 𝑅1
B. 𝑅2 ↔ 𝑅1 D. 3𝑅2 + 𝑅1 → 𝑅1
5. The amount of money you should deposit in an account paying 8% compounded quarterly in order to receive quarterly payments of $1000 for the next 4 years can be determined using formula for:
5. _______
A. Single-payment, simple interest
B. Single-payment, compound interest
C. Sequence of payments: present value of an ordinary annuity
D. Sequence of payments: future value of an ordinary annuity
6. – 7. The Black Entertainment Television Company (BET) employs copy coordinators and programming analysts. According to company data, a copy coordinator reviews 5 scripts and 3 show schedules per day, whereas a programming analyst reviews 2 scripts and 7 show schedules per day. The company needs enough staff on hand to review at least 12 scripts per day and at least 17 show schedules per day. A copy coordinator makes $230 per day and a programming analyst makes $190 per day. The company wants to minimize daily labor costs. Let x represent number of copy coordinators and y represent number of programming analysts.
6. Identify the daily production constraint for scripts:
6. _______
A. 5𝑥 + 2𝑦 ≤ 12 C. 5𝑥 + 2𝑦 ≥ 12
B. 5𝑥 + 2𝑦 ≤ 17 D. 5𝑥 + 2𝑦 ≥ 17
7. State the objective function.
7. _______
A. 𝐶 = 190𝑥 + 230𝑦
C. 𝐶 = 12𝑥 + 17𝑦
B. 𝐶 = 230𝑥 + 190𝑦
D. 𝐶 = 17𝑥 + 12𝑦
8. In the dice game “Yahtzee”, five-of-a-kind gives the maximum score for a single turn. What is the p
Page 1 of 10 ClassTime_______________Day_____________.docxalfred4lewis58146
Page 1 of 10
Class Time_______________ Day_____________________
School of Business
Business Statistics I
Exam 5
Print out this test. Do all your calculations on the test and mark your final
answer on the scantron sheet (answer sheet. If you don’t have a scantron sheet,
one will be provided in the class.Turn‐in both your test and the answer sheet. Do
not forget to write your name, Id#, and class time on both the answer sheet and
the test.
Name____________________________________ID #______________
1. Suppose a random sample of 36 items is selected from a population. The population
standard deviation is known to be 10. The standard error of the mean would be:
(a) 1.333
(b) 1.667
(c) 3.667
(d) 2.333
(e) 1.875
2. From 100 homes of similar sizes, a sample of 25 homes is selected to study the average
home heating cost during the winter months. Suppose the heating cost is known to be
normally distributed with mean of $220 per month for the four months of winter and
standard deviation of $45. If the 100 homes represent the population size, the standard
error of the heating cost would be:
(a) 9.00
(b) 8.75
(c) 3.66
(d) 7.83
(e) 1.87
3. Suppose n=64 measurements is selected from a population with mean 20 and
standard deviation 16 . The Z‐score corresponding to a value of 24x would be:
(a) 2.0
(b) 3.0
(c) ‐2.5
(d) ‐2.0
Page 2 of 10
(e) 1.5
4. A random sample of n=100 observations is selected from a population with 30 and
standard deviation 16 . The probability that ( 28)p x is
(a) 0.8236
(b) 0.8936
(c) 0.9036
(d) 0.9983
(e) 0.8944
5. A random sample of n=100 observations is selected from a population with 30 and
standard deviation 16 . The probability that (22.1 26.8)p x is
(a) 0.0434
(b) 0.0228
(c) 0.0036
(d) 0.0983
(e) 0.0944
6. A random sample of size 36 is drawn from a population with mean 278 . If 86% of
the time the sample mean is less than 281, then the population standard deviation
would be:
(a) 16.67
(b) 12.67
(c) 11.12
(d) 13.33
(e) 19.67
7. A random sample of size n=81 is drawn from population with mean equal to 50 and
standard deviation 25. The expected value of the mean ( )iE x [or, x ] and the standard
error
x
(a) 50 and 2.95
(b) 50 and 2.78
(c) 28 and 1.72
(d) 50 and 15.00
(e) 80 and 12.0
8. According to a recent news report, the average price of gasoline is $3.80 per gallon
(March 2011). This price can be considered as the nationwide population mean price
per gallon. Suppose that the standard deviation of the gasoline price per gallon is
$0.50. A sample of 49 gas stations in Salt Lake City is taken. The probabilit.
Points: 250
Assignment 3:Biggest Challenges Facing Organizations in the Next 20 Years
Criteria
Unacceptable
Below 60% F
Meets Minimum Expectations
60-69% D
Fair
70-79% C
Proficient
80-89% B
Exemplary
90-100% A
1. Provide a title slide followed by a slide with an introduction to your presentation.
Weight: 5%
Did not submit or incompletely provided a title slide followed by a slide with an introduction to your presentation.
Insufficiently provided a title slide followed by a slide with an introduction to your presentation.
Partially provided a title slide followed by a slide with an introduction to your presentation.
Satisfactorily provided a title slide followed by a slide with an introduction to your presentation.
Thoroughly provided a title slide followed by a slide with an introduction to your presentation.
2. Presentation should include your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Only include one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides. Weight: 50%
Did not submit or incompletely included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Did not submit or incompletely included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
Insufficiently included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Insufficiently included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
Partially included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Partially included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
Satisfactorily included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Satisfactorily included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
Thoroughly included your choice of the five (5) challenges you believe organizations will face in the next twenty (20) years. Satisfactorily included one (1) challenge and your explanation for choosing that challenge per slide for a total of five (5) slides.
3. Provide one (1) summary slide which addresses key points of your paper.
Weight: 5%
Did not submit or incompletely provided one (1) summary slide which addresses key points of your paper.
Insufficiently provided one (1) summary slide which addresses key points of your paper.
Partially provided one (1) summary slide which addresses key points of your paper.
Satisfactorily provided one (1) summary slide which addresses key points of your paper.
Thoroughly provided one (1) summary slide which addresses key points of your paper.
4. Narrate each slide,.
1. Chapter 7-8 (and 2.2) Review Worksheet
1. Which of these is the best candidate for a Binomial model?
a. the number of people we survey until we find someone who has taken Statistics
b. the number of people we survey until we find two people who have taken Statistics
c. the number of people in a class of 25 who have taken Statistics
d. the number of aces in a five-card Poker hand
e. the number of sodas students drink per day
2. Which of these is the best candidate for a Binomial model?
a. the number of black cards in a 10-card hand
b. the colors of the cars in Wegman’s parking lot
c. the number of hits a baseball player gets in 6 times at bat
d. the number of cards drawn from a deck until we find all four aces
e. the number of people we survey until we find someone who owns an iPod
3. A far coin has come up “heads” 10 times in a row. The probability that the coin will come up heads on the next flip is
a. less than 50%, since “tails” is due to come up.
b. 50%
c. greater than 50%, since it appears that we are in a streak of heads.
d. It cannot be determined.
4. Let X and Y be discrete random variables and let a and b be constants. Which of the following is false?
a. mean (X + Y) = mean (X) + mean (Y) b. mean (X – Y) = mean (X) – mean (Y)
c. mean (aX) = (a)(mean (X)) d. mean (a + bX) = a + b mean X
e. If X and Y are independent, then standard deviation (X – Y) = σ X − σ Y2
2
5. A randomly chosen subject arrives for a study of exercise and fitness. Consider these statements.
I. After 10 minutes on an exercise bicycle, you ask the subject to rate his or her effort on the Rate of Perceived
Exertion (RPE) scale. RPE ranges in whole-number steps from 6 (no exertion at all) to 20 (maximum exertion).
II. You measure VO2, the maximum volume of oxygen consumed per minute during exercise. VO2 is generally
between 2.5 liters per minute and 6 liters per minute.
III. You measure the maximum heart rate (beats per minute).
The statements that describe a discrete random variable are
a. None b. I. c. II. d. I, III. e. I, II, III.
6. Government statistics tell us that 2 out of every 3 American adults are overweight. Let X = number of Americans that
are overweight. How large would an SRS of American adults need to be in order for it to be safe to assume that the
sampling distribution of X is approximately Normal?
a. 3 b. 9 c. 15 d. 18 e. 30
7. The lifetime of a 2-volt non-rechargeable battery in constant use has a normal distribution with a mean of 516 hours
and a standard deviation of 20 hours. The proportion of batteries with lifetimes exceeding 520 hours is approximately
a. 0.2000. b. 0.5793. c. 0.4207
8. The lifetime of a 2-volt non-rechargeable battery in constant use has a normal distribution with a mean of 516 hours
and a standard deviation of 20 hours. 90% of all batteries have a lifetime shorter than
a. 517.28 hours. b. 536.00 hours. c. 541.50 hours
Answers: 1.C 2.C 3.B 4.E 5.D 6.E 7.C 8.C
9. If a distribution is relatively symmetric and mound-shaped, order from least to greatest, the following positions: a z-
score of – 1, Q 1, a value in the 60th percentile
10. A company’s manufacturing process uses 500 gallons of water at a time. A “scrubbing” machine then removes most
of a chemical pollutant before pumping the water into a nearby lake. Legally the treated water should contain no
more than 80 parts per million of the chemical, but the machine isn’t perfect and it is costly to operate. Since there’s a
fine if the discharged water exceeds the legal maximum, the company sets the machine to attain an average of 75 ppm
for the batches of water treated. They believe the machine’s output can be described by a Normal model with
standard deviation 4.2 ppm.
2. a. What percent of the batches of water discharged exceed the 80 ppm standard?
b. The company’s lawyers insist that they did not have more than 2% of the water over the limit. To what mean
value should the company set the scrubbing machine? Assume the standard deviation does not change.
11. You play two games against the same opponent. The probability that you win the first game is 0.4. If you win the
first game, the probability you also win the second is 0.2. If you lose the first game, the probability that you win the
second is 0.3
a. Let X be the number of games you win. Find the probability distribution for X.
b. What are the expected value and standard deviation of X?
12. A certain tennis player makes a successful first serve 70% of the time. Assume that each serve is independent of the
others. Suppose the tennis player serves 80 times in a match.
a. What is the mean and standard deviation of the number of good first serves expected?
b. Verify that you can use a Normal model to approximate the distribution of the number of good first serves.
c. What is the probability that she makes at least 65 first serves? Use both a Normal approximation and a Binomial
calculation.
13. A local TV retailer always offers its customers an extended warranty to cover the costs of any repairs needed in the
next 3 years. Let x = the cost to repair a randomly selected TV under warranty.
x 0 50 100 150 200 250 300
P(x) 0.71 0.13 0.08 0.04 0.02 0.01 0.01
a. Find and interpret the value of P(x = 0).
b. Based on past history, the company has estimated the probability distribution of x. How much should the company
charge for the extended warranty? Explain your reasoning.
c. What is the standard deviation of x? Interpret this value.
d. If the retailer sold 5 TV’s with extended warranties, what are the mean and standard deviation of the total cost of
repairs for these 5 TV’s?
14. The owner of a small convenience store is trying to decide whether to discontinue selling magazines. He suspects that
only 5% of the customers buy a magazine and thinks that he might be able to use the display space to sell something
more profitable. Before making a final decision, he decides that for one day he’ll keep track of the number of
customer and whether or not they buy a magazine.
a. Assuming that the owner is correct in thinking that 5% of the customers purchase magazines, how many customers
should he expect before someone buys a magazine?
b. What is the probability that he does not sell a magazine until the 8th customer?
c. What is the probability that exactly 2 of the first 10 customers buy magazines?
d. What is the probability that at least 5 of his first 50 customers buy magazines?
e. He had 280 customers that day. Assuming this day was typical for his store, what would be the mean and standard
deviation of the number of customers who buy magazines each day?
15. In an experiment comparing two weight loss plans, 100 subjects were randomly assigned to two groups, A and B.
The mean weight loss in group A was 10 pounds with a standard deviation of 8 pounds and the mean weight loss in
group B was 7 pounds with a standard deviation of 11 pounds. The distributions of weight loss are approximately
normal.
a. What is the probability that a randomly selected person from group A lost weight?
b. What is the probability that a randomly selected person from group B gained weight?
c. If you were to randomly select 3 people from group A, what is the probability that they lost a total of 25 pounds
or more?
d. If you were to randomly select one person from each group, what is the probability that the person from group B
lost more weight?
e. What is the probability that a randomly selected person from group A lost at least 5 more pounds than a randomly
selected person from group B?
f. In parts c-e, what assumption did you have to make? Is it reasonable?
• Additional problems to study: 7.55-58; 8.22, 24, 63, 65
• Know how to do all homework problems that were assigned and understand the questions from the quiz
• Look through notes – understand not only how to calculate values, but how to interpret them as well.
3. Chapter 7-8 Review Worksheet ANSWERS
1. C
2. C
3. B
4. E
5. D
6. E
7. C
8. C
9. z score of 1, Q 1, 60%
10. a). 11.7%, b). 71.37 ppm
11. a.
X = games won 0 1 2
P(X) 0.42 0.50 0.08
b. 0.66, 0.62
12. a. 56, 4.10 b. We can use a Normal approximation because np = 56 ≥ 10 and n(1-p) = 24 ≥ 10
c. Normal = 0.014; Binomial = 0.016
13. a. P(X = 0) = 0.71 The probability that a randomly selected TV costs $0 to repair under warranty is 0.71
b. The mean of X is $30. Thus, in the long run, the company should expect to pay an average of $30 for each TV under
warranty. Because of this, the company should charge $30 or more for the extended warranty in order to not lose
money in the long run.
c. $58.75 On average, the cost to repair a TV varies from the mean by about $58.75.
d. mean = $150, S.D. = $131.35
14. a. 20 b. 0.035 c. 0.075 d. 0.104 e. 14, 3.65
15. a. 0.8944
b. 0.2623
c. 0.6409 P(X1 + X2 + X3 >= 25)
d. 0.4127 P(XB > XA )
e. 0.4415 P(XA - XB >= 5)
f. We had to assume that the two variables (weight loss from group A and weight loss from group B) were
independent. This is reasonable since the subjects in the experiment were randomly assigned.
Additional problems to study: 7.55-58; 8.22, 24, 48, 49, 53, 63, 65
7.56 – The insurance company is relying on the law of large numbers. Even though the company will lose a large amount
of money on a small number of policyholders who die, it will gain a small amount from many thousands of 21-year old
men. In the long run, the insurance company can expect to make $303.35 per insurance policy.
7.58a. mean = $303.35, S.D. = $6864.29
b. mean = $303.35, S.D. = $4853.78
8.22 Let X = number of home runs. Then X ~ B(509, 0.116) mean of X = 59.044
Using Normal approximation, X ~ N(59.044, 7.2246) and P(X >= 70) = 0.0643
8.24a. mean = 180, S.D. = 12.5857
b. Using Normal approximation, X ~ N(180, 12.5857) and P(165 < X < 195) = 0.766