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Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 50 and standard deviation 5. Diane obtains 1000 random samples of size n = 5 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 30 from the population. Complete parts (a) through (c) below. (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below. O A. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have a greater standard deviation. OB. Jack's distribution is expected to be skewed right, but more than the original distribution. Diane's distribution is expected to be approximately normal. C. Diane's distribution is expected to be skewed right, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. O D. Diane's distribution is expected to be skewed left, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of 50.00. Jack's distribution is expected to have mean of 50.00. (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of Jack's distribution is expected to have a standard deviation of. (Round to two decimal places as needed.)

Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with mean 50 and standard deviation 5. Diane obtains 1000 random samples of size n = 5 from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size n = 30 from the population. Complete parts (a) through (c) below. (a) Describe the shape you expect for Diane's distribution of sample means. Describe the shape you expect for Jack's distribution of sample means. Choose the correct answer below. O A. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have a greater standard deviation. OB. Jack's distribution is expected to be skewed right, but more than the original distribution. Diane's distribution is expected to be approximately normal. C. Diane's distribution is expected to be skewed right, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. O D. Diane's distribution is expected to be skewed left, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. (b) What do you expect the mean of Diane's distribution to be? What do you expect the mean of Jack's distribution to be? Diane's distribution is expected to have a mean of 50.00. Jack's distribution is expected to have mean of 50.00. (c) What do you expect the standard deviation of Diane's distribution to be? What do you expect the standard deviation of Jack's distribution to be? Diane's distribution is expected to have a standard deviation of Jack's distribution is expected to have a standard deviation of. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Understanding Sampling Distributions through Simulation Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with a mean of 50 and a standard deviation of 5. Diane obtains 1000 random samples of size \( n = 5 \) from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size \( n = 30 \) from the population. Complete parts (a) through (c) below. --- ### (a) Shape of the Distribution of Sample Means **Question:** Describe the shape you expect for Diane’s distribution of sample means. Describe the shape you expect for Jack’s distribution of sample means. **Options:** - A. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have a greater standard deviation. - B. Jack's distribution is expected to be skewed right, but more than the original distribution. Diane's distribution is expected to be approximately normal. - C. Diane's distribution is expected to be skewed right, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. - D. Diane's distribution is expected to be skewed left, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. **Answer:** C. Diane's distribution is expected to be skewed right, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. --- ### (b) Mean of the Distribution of Sample Means **Question:** What do you expect the mean of Diane’s distribution to be? What do you expect the mean of Jack’s distribution to be? **Answer:** - Diane's distribution is expected to have a mean of \( \boxed{50.00} \). - Jack's distribution is expected to have a mean of \( \boxed{50.00} \). --- ### (c) Standard Deviation of the Distribution of Sample Means **Question:** What do you expect the standard deviation of Diane’s distribution to be? What do you expect the standard deviation of Jack’s distribution to be? (Round to two decimal places as needed.) **Answer:** - Diane's distribution is expected to have a standard deviation of \( \boxed{\ } \). - Jack's distribution is expected to have
Transcribed Image Text:### Understanding Sampling Distributions through Simulation Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution from a population that is skewed right with a mean of 50 and a standard deviation of 5. Diane obtains 1000 random samples of size \( n = 5 \) from the population, finds the mean of the means, and determines the standard deviation of the means. Jack does the same simulation, but obtains 1000 random samples of size \( n = 30 \) from the population. Complete parts (a) through (c) below. --- ### (a) Shape of the Distribution of Sample Means **Question:** Describe the shape you expect for Diane’s distribution of sample means. Describe the shape you expect for Jack’s distribution of sample means. **Options:** - A. Diane's distribution and Jack's distribution are expected to be approximately normal. However, Diane's will have a greater standard deviation. - B. Jack's distribution is expected to be skewed right, but more than the original distribution. Diane's distribution is expected to be approximately normal. - C. Diane's distribution is expected to be skewed right, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. - D. Diane's distribution is expected to be skewed left, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. **Answer:** C. Diane's distribution is expected to be skewed right, but not as much as the original distribution. Jack's distribution is expected to be approximately normal. --- ### (b) Mean of the Distribution of Sample Means **Question:** What do you expect the mean of Diane’s distribution to be? What do you expect the mean of Jack’s distribution to be? **Answer:** - Diane's distribution is expected to have a mean of \( \boxed{50.00} \). - Jack's distribution is expected to have a mean of \( \boxed{50.00} \). --- ### (c) Standard Deviation of the Distribution of Sample Means **Question:** What do you expect the standard deviation of Diane’s distribution to be? What do you expect the standard deviation of Jack’s distribution to be? (Round to two decimal places as needed.) **Answer:** - Diane's distribution is expected to have a standard deviation of \( \boxed{\ } \). - Jack's distribution is expected to have
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