Hypothesis testing for dependent samples using Paired t test.
A group of 20 sales associates agree to go during a week-long sales class to improve their productivity. The amount of their sales is computed for one month before and one month after the training course. Run the paired t-test to find out if:
Is there evidence to propose that the training course helps out sales people?
Must we send the rest of our sales associates to the course?
|
Sales #
|
Before
|
After
|
|
1
|
$ 33,766.65
|
$ 37,483.57
|
|
2
|
$ 52,827.74
|
$ 37,871.17
|
|
3
|
$ 26,654.23
|
$ 22,036.40
|
|
4
|
$ 21,758.96
|
$ 28,712.85
|
|
5
|
$ 42,708.70
|
$ 33,083.67
|
|
6
|
$ 38,123.38
|
$ 25,527.58
|
|
7
|
$ 18,064.69
|
$ 25,912.90
|
|
8
|
$ 21,891.92
|
$ 25,658.53
|
|
9
|
$ 44,578.95
|
$ 33,012.29
|
|
10
|
$ 38,907.00
|
$ 51,140.65
|
|
11
|
$ 34,452.24
|
$ 26,601.97
|
|
12
|
$ 40,607.04
|
$ 41,688.33
|
|
13
|
$ 10,049.96
|
$ 48,257.45
|
|
14
|
$ 4,678.23
|
$ 5,017.87
|
|
15
|
$ 26,160.92
|
$ 24,297.28
|
|
16
|
$ 27,392.57
|
$ 39,360.24
|
|
17
|
$ 44,098.47
|
$ 57,434.46
|
|
18
|
$ 65,263.37
|
$ 52,551.86
|
|
19
|
$ 29,605.20
|
$ 24,895.86
|
|
20
|
$ 5,133.71
|
$ 10,617.06
|