A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about u if the sample size, n, is 25. (b) Construct a 95% confidence interval about u if the sample size, n, is 15. (c) Construct an 80% confidence interval about u if the sample size, n, is 25. (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 95% confidence interval about u if the sample size, n, is 25. 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 108, and the sample standard deviation, s, is found to be 10.
(a) Construct a 95% confidence interval about µ if the sample size, n, is 25.
(b) Construct a 95% confidence interval about u if the sample size, n, is 15.
(c) Construct an 80% confidence interval about u if the sample size, n, is 25.
(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 95% confidence interval about u if the sample size, n, is 25.
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 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about µ if the sample size, n, is 25. (b) Construct a 95% confidence interval about u if the sample size, n, is 15. (c) Construct an 80% confidence interval about u if the sample size, n, is 25. (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 95% confidence interval about u if the sample size, n, is 25. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)
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 a 96% confidence interval about u if the sample size, n, is 23.
(b) Construct a 96% confidence interval about u if the sample size, n, is 18.
(c) Construct a 95% confidence interval about u if the sample size, n, is 23.
(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 96% confidence interval about u if the sample size, n, is 23.
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 113, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about u if the sample size, n, is 23. (b) Construct a 96% confidence interval about u if the sample size, n, is 18. (c) Construct a 95% confidence interval about u if the sample size, n, is 23. (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 96% confidence interval about u if the sample size, n, is 23. Lower bound: ; Upper bound: (Use ascending order. Round to one decimal place as needed.)
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