Question

A company wished to study the effects of four training programs on the sales abilities of their sales personnel. Thirty-two people were randomly divided into four groups of equal size, and each group was then subjected to one of the different sales training programs. Because there were some dropouts during the training programs due to illness, vacations, and so on, the number of trainees completing the programs varied from group to group. At the end of the training programs, each sales person was randomly assigned a sales area from a group of sales areas that were judged to have equivalent sales potentials.
   The sales made by each of the four groups of sales people during the first week after completing the training program are listed in the table:
Training
Program
1             78 84   86 92 69 73
2             99 86 90 93 94 85 97 91
3             74 87 80 83 78
4             81 63 71 65 86 79 73 70

Compare the four training programs. Determine which of the training programs are significantly different.

Answer 1

Hypotheses are:

H0: The mean of all four training programs are same.

Ha: The mean of all four training programs are different.

Following is the output of one way ANOVA generated by excel:

The F test statistics is

F = 9.84

The p-value is

p-value = 0.0002

Since p-value is less than 0.05 so we reject the null hypothesis.There is evidence to conclude that the training programs are significantly different.