A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about u if the sample size, n, is 24 (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 24. (d) Could we have computed the confidence intervals in parts (a) (c) if the population had not h

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 14PPS
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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 110, and the sample standard deviation, s, is found to be 10.
(a) Construct a 95% confidence interval about µ if the sample size, n, is 24.
(b) Construct a 95% confidence interval about µ if the sample size, n, is 16.
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(c) Construct a 90% confidence interval about if the sample size, n, is 24.
(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) Construct a 95% confidence interval about u if the sample size, n, is 24.
Lower bound: Upper bound
www
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 110, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about µ if the sample size, n, is 24. (b) Construct a 95% confidence interval about µ if the sample size, n, is 16. p (c) Construct a 90% confidence interval about if the sample size, n, is 24. (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) Construct a 95% confidence interval about u if the sample size, n, is 24. Lower bound: Upper bound www
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