A new treatment for depression is under investigation. Patients are given a psyc

Question

A new treatment for depression is under investigation. Patients are given a psychological test before and after treatment in order to determine the effectiveness of the treatment. Researchers hope to find a difference in test scores before and after treatment. A 95% confidence interval for the population average difference in evaluation scores (before-after) is given by (0.25, 3.75), which was computed based on a random sample of 36 patients.

A) What is the population parameter of interest?

B) Based on the confidence interval, at a 5% significance level, would 0 be considered a reasonable value of the population parametter?

C) Based on the CI, what is the value of the sample statistic (point estimate)?

Explanation / Answer

A) Population parameter of interest: Average difference in before and after evaluation scores

B) Since 0 is not contained in the interval, it can't be considered as a reasonable value of the population parameter.

C) Sample statistic = (0.25 + 3.75)/2 = 4/2 = 2

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