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 98% confidence interval about u if the sample size, n, is 22. (b) Construct a 98% confidence interval about u if the sample size, n, is 15. (c) Construct a 96% confidence interval about u if the sample size, n, is 22.
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 98% confidence interval about u if the sample size, n, is 22. (b) Construct a 98% confidence interval about u if the sample size, n, is 15. (c) Construct a 96% confidence interval about u if the sample size, n, is 22.
MATLAB: An Introduction with Applications
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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 114, and the sample standard deviation, s, is found to be
10.
(a) Construct a 98% confidence interval about u if the sample size, n, is 22.
(b) Construct a 98% confidence interval about u if the sample size, n, is 15.
22.
(c) Construct a 96% confidence interval about u if the sample size, n,
(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 98% confidence interval about µ if the sample size, n, is 22.
4
Lower bound: Upper bound:
(Use ascending order. Round to one decimal place as needed.).
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