A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s, is found to be 11. (a) Construct a 95% confidence interval about μ if the sample size, n, is 21. (b) Construct a 95% confidence interval about μ if the sample size, n, is 12. (c) Construct a 90% confidence interval about μ if the sample size, n, is 21.
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s, is found to be 11. (a) Construct a 95% confidence interval about μ if the sample size, n, is 21. (b) Construct a 95% confidence interval about μ if the sample size, n, is 12. (c) Construct a 90% confidence interval about μ if the sample size, n, is 21.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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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 111,
and the sample standard deviation, s, is found to be 11.
and the sample standard deviation, s, is found to be 11.
(a) Construct a 95% confidence interval about μ if the sample size, n, is 21.
(b) Construct a 95% confidence interval about μ if the sample size, n, is 12.
(c) Construct a 90% confidence interval about μ 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?
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