A 95%confidence interval of 17.9 months to 49.5 months has been found for the mean duration ofimprisonment,muμ,of political prisoners of a certain country with chronic PTSD.a. Determine the margin oferror, 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 11months and a 99%confidence level.(Usesigmaσequals=4242months.)d. Find a 99%confidence interval for the mean duration of imprisonment,muμ,if a sample of the size determined in part(c) has a mean of 36.336.3months.

a. The margin of error is nothing months.(Type an integer or adecimal.)b. Choose the correct answer below.

A. One can be 95% confident that the interval 17.9months to 49.5months contains the mean duration of imprisonment,muμ,of the prisoners.

B. One can be 95% confident that the minimum error made in estimating muμby x overbarxis as found in part(a).

C. One can be 95% confident that the maximum error made in estimating muμby x overbarxis as found in part(a).

D. The average duration of imprisonment is as found in part(a).c. The required sample size to have a margin of error of 11months with a 99%confidence level is nothing prisoners. (Round up to the nearest whole number.)d. The 99%confidence interval for the mean duration of imprisonment,muμ,is from nothing months to nothing months. (Round to one decimal place as needed. Use ascending order.)