A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about µ if the sample size, n, is 15. (b) Construct a 96% confidence interval about u if the sample size, n, is 11. (c) Construct an 80% confidence interval about u if the sample size, n, is 15. (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 simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 115, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about µ if the sample size, n, is 15. (b) Construct a 96% confidence interval about u if the sample size, n, is 11. (c) Construct an 80% confidence interval about u if the sample size, n, is 15. (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.
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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 115, and the sample standard deviation, s, is found to be 10.
(a) Construct a 96% confidence interval about μ if the sample size, n, is 15.
(b) Construct a 96% confidence interval about μ if the sample size, n, is 11.
(c) Construct an 80% confidence interval about u if the sample size, n, is 15.
(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.
Transcribed Image Text:A survey was conducted that asked 1011 people how many books they had read in the past year. Results indicated that x = 14.8 books and s= 16.6 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval.
Click the icon to view the table of critical t-values.
Construct a 90% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice.
(Use ascending order. Round to two decimal places as needed.)
OA. There is 90% confidence that the population mean number of books read is between and
B. If repeated samples are taken, 90% of them will have a sample mean between
O C. There is a 90% probability that the true mean number of books read is between
and
and
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VIEWStep 3: Calculating 96% confidence interval when n = 11
VIEWStep 4: Calculating 80% confidence interval when n = 15
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