Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two independent test groups. The first...

Extracted text: Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two independent test groups. The first group consisted of 14 people with the illness, and the second group consisted of 13 people with the illness. The first group received treatment 1 and had a mean time until remission of 158 days, with a standard deviation of 9 days. The second group received treatment 2 and had a mean time until remission of 166 days, with a standard deviation of 8 days. Assume that the populations of times until remission for each of the two treatments are normally distributed. a. Can we conclude, at the 0.05 level of significance, that the mean number of days before remission after treatment 1, µ1, is less than the mean number of days before remission after treatment 2, µ2? Test the clam with P-value. (Just use the table.) b. Construct 90% confidence interval for the difference of the mean number of days before remission after treatment 1, µ1, mean number of days before remission after treatment 2, µ2. c. How does the confidence interval from part b support your answer in part a.