Donald R. Cooper and C. William Emory (1995) discuss a manager who wishes to compare the effectiveness of two methods for training new salespeople. The authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided into two experimental groups one receives type A and the other type B training. The salespeople are then assigned and managed without regard to the training they have received. At the year's end1 the manager reviews the performances of salespeople in these groups and finds the following results:

a. Set up the null and alternative hypotheses needed to attempt to establish that type A training results in higher mean weekly sales than does type B training.
b. Because different sales trainees are assigned to the two experimental grouµs1 it is reasonable to believe that the two samples are independent. Assuming that the normality assumption holds1 and using the equal variances procedure, test the hypotheses you set up in part a at levels of significance .101 .051 .011 and .001. How much evidence is there that type A training produces results that are superior to those of type f?
c. Use the equal variances procedure to calculate a 95 percent confidence interval for the difference between the mean weekly sales obtained when type A training is used and the mean weekly sales obtained when type B training is used. Interpret this interval.

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A Group = $ 225 B Group Average Weekly Sales1.500 300 Standard Deviation $1,300 251