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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to b (a) Construct a 96% confidence interval about μ if the sample size, n, is 21. (b) Construct a 96% confidence interval about µ if the sample size, n, is 14. (c) Construct a 95% confidence interval about μ if the sample size, n, is 21. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 96% confidence interval about μ if the sample size, n, is 21. Lower bound:: Upper bound: Round to one decimal place as needed.) (b) Construct a 96% confidence interval about μ if the sample size, n, is 14. Lower bound:; Upper bound: Round to one decimal place as needed.) How does decreasing the sample size affect the margin of error, E? OA. As the sample size decreases, the margin of error stays the same. OB. As the sample size decreases, the margin of error decreases. OC. As the sample size decreases, the margin of error increases. ... (c) Construct a 95% confidence interval about μ if the sample size, n, is 21. Lower bound:; Upper bound: (Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E?

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to b (a) Construct a 96% confidence interval about μ if the sample size, n, is 21. (b) Construct a 96% confidence interval about µ if the sample size, n, is 14. (c) Construct a 95% confidence interval about μ if the sample size, n, is 21. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 96% confidence interval about μ if the sample size, n, is 21. Lower bound:: Upper bound: Round to one decimal place as needed.) (b) Construct a 96% confidence interval about μ if the sample size, n, is 14. Lower bound:; Upper bound: Round to one decimal place as needed.) How does decreasing the sample size affect the margin of error, E? OA. As the sample size decreases, the margin of error stays the same. OB. As the sample size decreases, the margin of error decreases. OC. As the sample size decreases, the margin of error increases. ... (c) Construct a 95% confidence interval about μ if the sample size, n, is 21. Lower bound:; Upper bound: (Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E?

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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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about µ if the sample size, n, is 21. μ (b) Construct a 96% confidence interval about µ if the sample size, n, is 14. μ (c) Construct a 95% confidence interval about μ if the sample size, n, is 21. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 96% confidence interval about µ if the sample size, n, is 21. Lower bound: Upper bound: (Round to one decimal place as needed.) (b) Construct a 96% confidence interval about µ if the sample size, n, is 14. μ Lower bound:; Upper bound: (Round to one decimal place as needed.) How does decreasing the sample size affect the margin of error, E? A. As the sample size decreases, the margin of error stays the same. B. As the sample size decreases, the margin of error decreases. C. As the sample size decreases, the margin of error increases. (c) Construct a 95% confidence interval about µ if the sample size, n, is 21. μ Lower bound: Upper bound: (Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E?
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about µ if the sample size, n, is 21. μ (b) Construct a 96% confidence interval about µ if the sample size, n, is 14. μ (c) Construct a 95% confidence interval about μ if the sample size, n, is 21. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 96% confidence interval about µ if the sample size, n, is 21. Lower bound: Upper bound: (Round to one decimal place as needed.) (b) Construct a 96% confidence interval about µ if the sample size, n, is 14. μ Lower bound:; Upper bound: (Round to one decimal place as needed.) How does decreasing the sample size affect the margin of error, E? A. As the sample size decreases, the margin of error stays the same. B. As the sample size decreases, the margin of error decreases. C. As the sample size decreases, the margin of error increases. (c) Construct a 95% confidence interval about µ if the sample size, n, is 21. μ Lower bound: Upper bound: (Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E?
(c) Construct a 95% confidence interval about µ if the sample size, n, is 21. Lower bound:; Upper bound: (Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E? A. As the level of confidence decreases, the size of the interval stays the same. B. As the level of confidence decreases, the size of the interval increases. OC. As the level of confidence decreases, the size of the interval decreases. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? A. No, the population needs to be normally distributed because each sample size is less than 30. B. Yes, the population does not need to be normally distributed because each sample size is less than 30. C. No, the population needs to be normally distributed because each sample size is large relative to their respective population sizes. D. Yes, the population does not need to be normally distributed because each sample size is small relative to their respective population sizes.
Transcribed Image Text:(c) Construct a 95% confidence interval about µ if the sample size, n, is 21. Lower bound:; Upper bound: (Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E? A. As the level of confidence decreases, the size of the interval stays the same. B. As the level of confidence decreases, the size of the interval increases. OC. As the level of confidence decreases, the size of the interval decreases. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? A. No, the population needs to be normally distributed because each sample size is less than 30. B. Yes, the population does not need to be normally distributed because each sample size is less than 30. C. No, the population needs to be normally distributed because each sample size is large relative to their respective population sizes. D. Yes, the population does not need to be normally distributed because each sample size is small relative to their respective population sizes.
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