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# t-test for improved productivity

A group of 20 sales associates agree to go through a week-long sales class
to improve their productivity. The amount of their sales are 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 suggest that the training course helps out sales people?
Should 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

#### Solution Summary

The solution provides step by step method for the calculation of test statistic for t-test for improved productivity . Formula for the calculation and Interpretations of the results are also included.

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