A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 114, 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 19. (b) Construct a 96% confidence interval about u if the sample size, n, is 26. (c) Construct a 99% confidence interval about uμ if the sample size, n, is 19. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? For

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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 114, 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
(b) Construct a 96% confidence interval about u if the sample size, n, is
(c) Construct a 99% confidence interval about u if the sample size, n, is
(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 19.
Lower bound:; Upper bound:
(Use ascending order. Round to one decimal place as needed.)
CREEP
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 114, 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 (b) Construct a 96% confidence interval about u if the sample size, n, is (c) Construct a 99% confidence interval about u if the sample size, n, is (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 19. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.) CREEP
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