A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about u if the sample size, n, is 16. (b) Construct an 80% confidence interval about u if the sample size, n, is 25. (c) Construct a 90% confidence interval about u if the sample size, n, is 16. (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 an 80% confidence interval about u if the sample size, n, is 16. Lower bound: Upper bound: (Use ascending order. 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 106, and the sample standard deviation, s, is found to be 10.
(a) Construct an 80% confidence interval about u if the sample size, n, is 16.
(b) Construct an 80% confidence interval about u if the sample size, n, is 25.
(c) Construct a 90% confidence interval about µ if the sample size, n, is 16.
(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 an 80% confidence interval about u if the sample size, n, is 16.
Lower bound:: Upper bound:
(Use ascending order. 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 106, and the sample standard deviation, s, is found to be 10. (a) Construct an 80% confidence interval about u if the sample size, n, is 16. (b) Construct an 80% confidence interval about u if the sample size, n, is 25. (c) Construct a 90% confidence interval about µ if the sample size, n, is 16. (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 an 80% confidence interval about u if the sample size, n, is 16. Lower bound:: Upper bound: (Use ascending order. Round to one decimal place as needed.)
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