Researchers used 7 red and 7 black playing cards to randomly assign 14 volunteer males with high blood pressure to one of the two diets for four weeks. The two diets are: a fish oil diet and a standard oil diet. The reductions in diastolic blood pressure were measured in mmHg. Label the fish oil diet group 1 and the standard oil diet 2. Now since the measurements are the reductions in blood pressure for each man, it is of interest to know whether the mean reduction is zero for each group. For the regular oil diet group do the following:

(a) Compute the average and standard deviation. What are the degrees of freedom associated with the sample standard deviation, s2?
(b) Compute the standard error for the average from this group, SE(Y2).
(c) Construct a 95% confidence interval for Mu2.
(d) For the hypothesis that Mu2 is zero, compute the t-test statistic Y2/SE(Y2). Find the two-sided P-value as the proportion of values from the appropriate t-distribution farther from 0 than this value.