A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 113, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about μ if the sample size, n, is 11. (b) Construct an 80% confidence interval about μ if the sample size, n, is 26. (c) Construct a 98% confidence interval about μ if the sample size, n, is 11. (d) Could we have computed the confidence intervals in parts (a)-(c) 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 113, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about μ if the sample size, n, is 11. (b) Construct an 80% confidence interval about μ if the sample size, n, is 26. (c) Construct a 98% confidence interval about μ if the sample size, n, is 11. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 113, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about μ if the sample size, n, is 11.
(b) Construct an 80% confidence interval about μ if the sample size, n, is 26.
(c) Construct a 98% confidence interval about μ if the sample size, n, is 11.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
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