The following data present the number of computer units sold per day by a sample of 6 salespersons before and after a bonus plan was implemented.
Let d = Sales After - Sales Before.
Salesperson |
Before |
After |
1 |
3 |
6 |
2 |
7 |
5 |
3 |
6 |
6 |
4 |
8 |
7 |
5 |
7 |
8 |
6 |
9 |
8 |
Complete the following table (round numbers to two decimal places):
After |
Before |
|
Mean |
||
Variance |
||
t-Stat (test statistic) |
||
p-value (one tail) |
||
t critical value (one tail) |
Using a .05 level of significance, test to see if the bonus plan was effective. That is, did the bonus plan actually increase sales? What do you conclude? (Reject the null hypothesis)(Do not reject the null hypothesis)
after | before | diff | |
6 | 3 | 3 | |
5 | 7 | -2 | |
6 | 6 | 0 | |
7 | 8 | -1 | |
8 | 7 | 1 | |
8 | 9 | -1 | |
avg | 0 | ||
var | 3.2 |
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