A 95% confidence interval of 19.5 months to 47.1 months has been found for the mean duration of imprisonment, μ, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 13 months and a 99% confidence level. (Use a=38 months.) d. Find a 99% confidence interval for the mean duration of imprisonment, μ, if a sample of the size determined in part (c) has a mean of 36.5 months. a. The margin of error is (Type an integer or a decimal.) b. Choose the correct answer below. months. O B. O A. One can be 95% confident that the interval 19.5 months to 47.1 months contains the mean duration of imprisonment, μ, of the prisoners. One can be 95% confident that the minimum error made in estimating μ by x is as found in part (a). O C. One can be 95% confident that the maximum error made in estimating μ by x is as found in part (a). O D. The average duration of imprisonment is as found in part (a). c. The required sample size to have a margin of error of 13 months with a 99% confidence level is (Round up to the nearest whole number.) d. The 99% confidence interval for the mean duration of imprisonment, μ, is from (Round to one decimal place as needed. Use ascending order.) months to prisoners. (...) months.

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A 95% confidence interval of 19.5 months to 47.1 months has been found for the mean duration of imprisonment, μ, of political prisoners of a certain country with chronic PTSD.
a. Determine the margin of error, E.
b. Explain the meaning of E in this context in terms of the accuracy of the estimate.
c. Find the sample size required to have a margin of error of 13 months and a 99% confidence level. (Use o = 38 months.)
d. Find a 99% confidence interval for the mean duration of imprisonment, μ, if a sample of the size determined in part (c) has a mean of 36.5 months.
a. The margin of error is months.
(Type an integer or a decimal.)
b. Choose the correct answer below.
O A. One can be 95% confident that the interval 19.5 months to 47.1 months contains the mean duration of imprisonment, μ, of the prisoners.
OB. One can be 95% confident that the minimum error made in estimating u by x is as found in part (a).
O C. One can be 95% confident that the maximum error made in estimating μ by x is as found in part (a).
O D. The average duration of imprisonment is as found in part (a).
c. The required sample size to have a margin of error of 13 months with a 99% confidence level is
(Round up to the nearest whole number.)
d. The 99% confidence interval for the mean duration of imprisonment, μ, is from
(Round to one decimal place as needed. Use ascending order.)
months to
prisoners.
C
months.
Transcribed Image Text:A 95% confidence interval of 19.5 months to 47.1 months has been found for the mean duration of imprisonment, μ, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 13 months and a 99% confidence level. (Use o = 38 months.) d. Find a 99% confidence interval for the mean duration of imprisonment, μ, if a sample of the size determined in part (c) has a mean of 36.5 months. a. The margin of error is months. (Type an integer or a decimal.) b. Choose the correct answer below. O A. One can be 95% confident that the interval 19.5 months to 47.1 months contains the mean duration of imprisonment, μ, of the prisoners. OB. One can be 95% confident that the minimum error made in estimating u by x is as found in part (a). O C. One can be 95% confident that the maximum error made in estimating μ by x is as found in part (a). O D. The average duration of imprisonment is as found in part (a). c. The required sample size to have a margin of error of 13 months with a 99% confidence level is (Round up to the nearest whole number.) d. The 99% confidence interval for the mean duration of imprisonment, μ, is from (Round to one decimal place as needed. Use ascending order.) months to prisoners. C months.
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