3. A company conducted a study to compare a new training program with the current program. Twenty-five new employees were randomly assigned to one of the two programs. At the end of the training period each subject was assigned a task. The time (in seconds) to complete the task was recorded, yielding the following results:

Sample Size Sample Mean Sample Stdev

New (X) 12 21.5 5.2

Current (Y) 13 25.6 5.0

(a) Assume the samples are independent and come from normal distributions. Use the Two Sample Pooled t-test to test at (delta= 0.01) if the average time to complete the task is significantly faster for the new program. Note that "faster" means a shorter time.

(b) Estimate the average difference in the time to complete the task for the two programs using a 99% confidence interval for X - Y.