mple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 112, and the sample standard viation, s, is found to be 10. Construct a 96% confidence interval about u if the sample size, n, is 24. Construct a 96% confidence interval about μ if the sample size, n, is 18. Construct a 95% confidence interval about u if the sample size, n, is 24.

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
Question
2-5
ents
ccess
Library
Options
ns
bols
ly cloudy
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 112, 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 24.
(b) Construct a 96% confidence interval about µ if the sample size, n, is 18.
(c) Construct a 95% 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 been normally distributed?
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 96% confidence interval about u if the sample size, n, is 24.
Lower bound: 107.6: Upper bound: 116.4
(Use ascending order. Round to one decimal place as needed.)
(b) Construct a 96% confidence interval about u if the sample size, n, is 18.
Lower bound:Upper bound:
(Use ascending order. Round to one decimal place as needed.)
Clear all
8
P Pearson
Transcribed Image Text:ents ccess Library Options ns bols ly cloudy A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 112, 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 24. (b) Construct a 96% confidence interval about µ if the sample size, n, is 18. (c) Construct a 95% 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 been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 96% confidence interval about u if the sample size, n, is 24. Lower bound: 107.6: Upper bound: 116.4 (Use ascending order. Round to one decimal place as needed.) (b) Construct a 96% confidence interval about u if the sample size, n, is 18. Lower bound:Upper bound: (Use ascending order. Round to one decimal place as needed.) Clear all 8 P Pearson
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