A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 104, and the sample standard deviation, s, is found to be 8. (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (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 u if the sample size, n, is 22. Lower bound: 100,5; Upper bound: 107.5 (Round to one decimal place as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 16. Lower bound: : Upper bound: (Round to one decimal place as needed.)

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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 104, and the sample standard deviation, s, is found to be 8.
(a) Construct a 95% confidence interval about u if the sample size, n, is 22.
(b) Construct a 95% confidence interval about u if the sample size, n, is 16.
(c) Construct a 90% confidence interval about u if the sample size, n, is 22.
(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 u if the sample size, n, is 22.
Lower bound: 100.5; Upper bound: 107.5
(Round to one decimal place as needed.)
(b) Construct a 95% confidence interval about u if the sample size, n, is 16.
Lower bound: Upper bound:
(Round to one decimal place as needed.)
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 104, and the sample standard deviation, s, is found to be 8. (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (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 u if the sample size, n, is 22. Lower bound: 100.5; Upper bound: 107.5 (Round to one decimal place as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 16. Lower bound: Upper bound: (Round to one decimal place as needed.)
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