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A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample variance, s“, is determined to l 12.8. Complete parts (a) through (c). (a) Construct a 90% confidence interval for o? if the sample size, n, is 20. The lower bound is (Round to two decimal places as needed.) The upper bound is . (Round to two decimal places as needed.) (b) Construct a 90% confidence interval for o² if the sample size, n, is 30. The lower bound is (Round to two decimal places as needed.) The upper bound is. (Round to two decimal places as needed.) How does increasing the sample size affect the width of the interval? The width increases The width decreases O The width does not change (c) Construct a 98% confidence interval for o2 if the sample size, n, is 20. The lower bound is . (Round to two decimal places as needed.) The upper bound is. (Round to two decimal places as needed.) Compare the results with those obtained in part (a). How does increasing the level of confidence affect the confidence interval? The width increases

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample variance, s“, is determined to l 12.8. Complete parts (a) through (c). (a) Construct a 90% confidence interval for o? if the sample size, n, is 20. The lower bound is (Round to two decimal places as needed.) The upper bound is . (Round to two decimal places as needed.) (b) Construct a 90% confidence interval for o² if the sample size, n, is 30. The lower bound is (Round to two decimal places as needed.) The upper bound is. (Round to two decimal places as needed.) How does increasing the sample size affect the width of the interval? The width increases The width decreases O The width does not change (c) Construct a 98% confidence interval for o2 if the sample size, n, is 20. The lower bound is . (Round to two decimal places as needed.) The upper bound is. (Round to two decimal places as needed.) Compare the results with those obtained in part (a). How does increasing the level of confidence affect the confidence interval? The width increases

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 sizen is drawn from a population that is known to be normally distributed. The sample variance, s, is determined to E 12.8. Complete parts (a) through (c). (a) Construct a 90% confidence interval for o2 if the sample size, n, is 20. The lower bound is . (Round to two decimal places as needed.) The upper bound is (Round to two decimal places as needed.) (b) Construct a 90% confidence interval for o² if the sample size, n, is 30. The lower bound is . (Round to two decimal places as needed.) The upper bound is (Round to two decimal places as needed.) How does increasing the sample size affect the width of the interval? O The width increases O The width decreases O The width does not change (c) Construct a 98% confidence interval for o2 if the sample size, n, is 20. The lower bound is |: (Round to two decimal places as needed.) The upper bound is (Round to two decimal places as needed.) Compare the results with those obtained in part (a). How does increasing the level of confidence affect the confidence interval? O The width increases
Transcribed Image Text:A simple random sample of sizen is drawn from a population that is known to be normally distributed. The sample variance, s, is determined to E 12.8. Complete parts (a) through (c). (a) Construct a 90% confidence interval for o2 if the sample size, n, is 20. The lower bound is . (Round to two decimal places as needed.) The upper bound is (Round to two decimal places as needed.) (b) Construct a 90% confidence interval for o² if the sample size, n, is 30. The lower bound is . (Round to two decimal places as needed.) The upper bound is (Round to two decimal places as needed.) How does increasing the sample size affect the width of the interval? O The width increases O The width decreases O The width does not change (c) Construct a 98% confidence interval for o2 if the sample size, n, is 20. The lower bound is |: (Round to two decimal places as needed.) The upper bound is (Round to two decimal places as needed.) Compare the results with those obtained in part (a). How does increasing the level of confidence affect the confidence interval? O The width increases
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