A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 107, 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 21. (b) Construct a 95% confidence interval about u if the sample size, n, is 15. (c) Construct a 90% confidence interval about u if the sample size, n, is 21. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed?
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 107, 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 21. (b) Construct a 95% confidence interval about u if the sample size, n, is 15. (c) Construct a 90% confidence interval about u if the sample size, n, is 21. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 107, 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 21.
μ
μ
(b) Construct a 95% confidence interval about u if the sample size, n, is 15.
(c) Construct a 90% confidence interval about u if the sample size, n, is 21.
(d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed?
..
(a) Construct a 95% confidence interval about μ if the sample size, n, is 21.
Lower bound: ; Upper bound:
(Round to one decimal place as needed.)
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