Which of the following is the value of the appropriate test statistic?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A new sales training program has been instituted at a rent-to-own company. Prior to the training, six employees were tested on their knowledge of products offered by the company. Once the training was completed, the employees were tested again in an effort to determine whether the training program was effective. Scores are known to be normally distributed. The sample scores on the tests are listed next. Use pretest score as \( \mu_1 \) for population 1 and posttest score as \( \mu_2 \) for population 2, or \( \mu_B \) as the difference calculated as pretest score minus posttest score.

| Pretest Score | Posttest Score |
|---------------|---------------|
| 66            | 76            |
| 83            | 86            |
| 90            | 95            |
| 68            | 70            |
| 95            | 93            |
| 79            | 84            |

Which of the following is the value of the appropriate test statistic?

**Multiple Choice**

- \( t_5 = -2.3647 \)

- \( t_5 = 2.3647 \)

- \( z = -2.3647 \)

- \( z = 2.3647 \)
Transcribed Image Text:A new sales training program has been instituted at a rent-to-own company. Prior to the training, six employees were tested on their knowledge of products offered by the company. Once the training was completed, the employees were tested again in an effort to determine whether the training program was effective. Scores are known to be normally distributed. The sample scores on the tests are listed next. Use pretest score as \( \mu_1 \) for population 1 and posttest score as \( \mu_2 \) for population 2, or \( \mu_B \) as the difference calculated as pretest score minus posttest score. | Pretest Score | Posttest Score | |---------------|---------------| | 66 | 76 | | 83 | 86 | | 90 | 95 | | 68 | 70 | | 95 | 93 | | 79 | 84 | Which of the following is the value of the appropriate test statistic? **Multiple Choice** - \( t_5 = -2.3647 \) - \( t_5 = 2.3647 \) - \( z = -2.3647 \) - \( z = 2.3647 \)
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