Assume that it is of interest to know whether the CPU time of faculty members program is greater than that of student programs. A sample of 100 programs of each group yields x1 = 10 and s1 2 = 10 - 2...

Assume that it is of interest to know whether the CPU time of

faculty members program is greater than that of student programs.

A sample of 100 programs of each group yields x1 = 10 and s1

2 = 10

- 2 for the faculty programs, while x2 = 8 and s = 15 for the 2

student programs. Time is measured in seconds.

(a) Test the hypothesis that the average CPU time is the same

against the alternative that the CPU time for faculty programs exceeds that of student programs. (a. 0.01)

(b) Find a 98% confidence interval for µ1 - µ2 •