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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, is found to be 114 and the sample standard deviation, s, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 25 (b) Construct a 95% confidence interval about ju if the sample size, n, is 29. (c) Construct a 96% confidence interval about if the sample size, n, is 25. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution.

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, is found to be 114 and the sample standard deviation, s, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 25 (b) Construct a 95% confidence interval about ju if the sample size, n, is 29. (c) Construct a 96% confidence interval about if the sample size, n, is 25. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, is found to be 114 and the sample standard deviation, s, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 25 (b) Construct a 95% confidence interval about ju if the sample size, n, is 29. (c) Construct a 96% confidence interval about if the sample size, n, is 25 (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution.
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, is found to be 114 and the sample standard deviation, s, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 25 (b) Construct a 95% confidence interval about ju if the sample size, n, is 29. (c) Construct a 96% confidence interval about if the sample size, n, is 25 (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution.
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