A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about μ if the sample size, n, is 13. (b) Construct a 98% confidence interval about μ if the sample size, n, is 21. (c) Construct a 99% confidence interval about μ if the sample size, n, is 13.

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 13PPS
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A-C Find Lower and Upper Bound
A simple random sample of size n is drawn from a
population that is normally distributed. The
sample mean, x, is found to be 106, and the sample
standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about μ if
the sample size, n, is 13.
(b) Construct a 98% confidence interval about μ if
the sample size, n, is 21.
(c) Construct a 99% confidence interval about u if
the sample size, n, is 13.
(d) Could we have computed the confidence
intervals in parts (a)-(c) if the population had not
been normally distributed?
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 106, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about μ if the sample size, n, is 13. (b) Construct a 98% confidence interval about μ if the sample size, n, is 21. (c) Construct a 99% confidence interval about u if the sample size, n, is 13. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
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