Question

A 95% confidence interval of 19.8 months to 47.4 months has been found for the mean duration of imprisonment, u, 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

12 months and a 99% confidence level. (use standard deviation=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.

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a) the margin of error is

b) choose the correct answer below

1) one can be 95% confident that the interval 19.8 months to 47.4 months contains the mean duration of imprisonment, u, of the prisoners

2) one can be 95% confident that the maximum error made in estimating u by x is found in part (a)

3)one can be 95% confident that the minimum error made in estimating u by x is found in part (a)

4) the average duration of imprisonment is found in part (a)

c) The required sample size to have a margin of error of 12 months with a 99% confidence level is ____ prisoners

d) The 99% confidence interval for the mean duration of​ imprisonment, u, is from ___ months to ___ months

Answer 1