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t-test for improved productivity

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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

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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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