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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 115, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about u if the sample size, n, is 18. (b) Construct a 96% confidence interval about u if the sample size, n, is 12. (c) Construct a 95% confidence interval about u if the sample size, n, is 18. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? (a) Construct a 96% confidence interval about μ if the sample size, n, is 18. Lower bound:: Upper bound: [ (Use ascending order. Round to one decimal place as needed.)

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about u if the sample size, n, is 18. (b) Construct a 96% confidence interval about u if the sample size, n, is 12. (c) Construct a 95% confidence interval about u if the sample size, n, is 18. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? (a) Construct a 96% confidence interval about μ if the sample size, n, is 18. Lower bound:: Upper bound: [ (Use ascending order. Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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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 115, 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 18. (b) Construct a 96% confidence interval about μ if the sample size, n, is 12. (c) Construct a 95% confidence interval about μ if the sample size, n, is 18. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? (a) Construct a 96% confidence interval about μ if the sample size, n, is 18. Lower bound:: Upper bound: (Use ascending order. Round to one decimal place as needed.)
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 115, 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 18. (b) Construct a 96% confidence interval about μ if the sample size, n, is 12. (c) Construct a 95% confidence interval about μ if the sample size, n, is 18. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? (a) Construct a 96% confidence interval about μ if the sample size, n, is 18. Lower bound:: Upper bound: (Use ascending order. Round to one decimal place as needed.)
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