8.89 Political Prisoners. In Exercise 8.73, you found à 95% con- fidence interval of 18.8 months to 48.0 months for the mean dura- tion of imprisonment, u, of all East German political prisoners 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. (Recall that o = 42 months.)

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**Exercise 8.89: Political Prisoners**

In Exercise 8.73, you found a 95% confidence interval of 18.8 months to 48.0 months for the mean duration of imprisonment, μ, of all East German political prisoners 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.** (Recall that σ = 42 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 36.2 months.**
Transcribed Image Text:**Exercise 8.89: Political Prisoners** In Exercise 8.73, you found a 95% confidence interval of 18.8 months to 48.0 months for the mean duration of imprisonment, μ, of all East German political prisoners 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.** (Recall that σ = 42 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 36.2 months.**
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