A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 105, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 14. (b) Construct a 90% confidence interval about u if the sample size, n, is 27. (c) Construct a 98% confidence interval about µ if the sample size, n, is 14. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct a 90% confidence interval about u if the sample size, n, is 14. 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 105, and the sample standard deviation,
s, is found to be 10.
(a) Construct a 90% confidence interval about u if the sample size, n, is 14.
(b) Construct a 90% confidence interval about u if the sample size, n, is 27.
(c) Construct a 98% confidence interval about µ if the sample size, n, is 14.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
E Click the icon to view the table of areas under the t-distribution.
(a) Construct a 90% confidence interval about u if the sample size, n, is 14.
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 105, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 14. (b) Construct a 90% confidence interval about u if the sample size, n, is 27. (c) Construct a 98% confidence interval about µ if the sample size, n, is 14. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? E Click the icon to view the table of areas under the t-distribution. (a) Construct a 90% confidence interval about u if the sample size, n, is 14. Lower bound:: Upper bound: (Use ascending order. Round to one decimal place as needed.)
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