Ehlers, Maercker, and Boos studied various characteristics of political prisoner

Question

Ehlers, Maercker, and Boos studied various characteristics of political prisoners from the former East and presented their finding in the Paper "Posttraumatic Stress Disorder (PTSD) Following Political Imprisonment: The Role of Mental Defeat, Alienation, and Perceived Permanent Change." According to the article, the mean duration of imprisonment for 32 patients with chronic PTSD was 33.4 months. Assume the standard deviation for all durations of imprisonment is 42 months, determine a 95% confidence interval for the mean duration of imprisonment of all East German political prisoners with chronic PTSD. Interpret your answer in words.

Explanation / Answer

We are given that

mean = 33.4 and n = 32 and sd = 42

now we know that the confidence interval is given as

Mean +- z*SD/sqrt(N) , now z = 1.96 for 95% confidence interval , using the z tables . Putting the values in the equation

33.4 +- 1.96*42/sqrt(32)

= 18.84, 47.95

This means that we are 95% confident in making the statement that the true value of the mean number of months would lie between 18.84 and 47.95 months .

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