A new sales training program has been instituted at a their knowledge of products offered by the company. effort to determine whether the training program was on the tests are listed next. Use pretest score as μ₁ fo difference calculated as pretest score minus posttest : Pretest Score 56 94 90 69 96 71 Posttest Score 66 97 96 78 90 75 Which of the following is the value of the appropriate t
A new sales training program has been instituted at a their knowledge of products offered by the company. effort to determine whether the training program was on the tests are listed next. Use pretest score as μ₁ fo difference calculated as pretest score minus posttest : Pretest Score 56 94 90 69 96 71 Posttest Score 66 97 96 78 90 75 Which of the following is the value of the appropriate t
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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What is the following value of the appropriate test statistic using excel? This is a practice quiz we went over with the professor. Trying to understand how it was solved in practice

Transcribed Image Text:### Sales Training Program Effectiveness Test
#### Objective:
A new sales training program has been instituted at a company aiming to enhance employees' knowledge of the products offered. To determine the program's effectiveness, a pretest and posttest were administered to a group of employees.
#### Instructions:
1. **Pretest Score** (\( \mu_1 \)): Score obtained by employees before undergoing the training program.
2. **Posttest Score** (\( \mu_2 \)): Score obtained by the same employees after completing the training program.
3. **Score Difference**: The difference is calculated as the pretest score minus the posttest score.
The scores from the tests are listed in the table below:
| Pretest Score | Posttest Score |
|---------------|----------------|
| 56 | 66 |
| 94 | 97 |
| 90 | 96 |
| 69 | 78 |
| 96 | 90 |
| 71 | 75 |
**Question**:
Which of the following is the value of the appropriate t?
#### Explanation:
The table above shows a comparison of pretest and posttest scores for six employees. The objective is to determine if there is a statistically significant difference between the pretest and posttest scores using a suitable statistical test, likely a paired t-test, to evaluate the training program's effectiveness.
For educational purposes, students or analysts can calculate the differences between the pretest and posttest scores for each employee and then perform the t-test to check for significance. Calculating this will involve:
1. Finding the difference for each pair (pretest score - posttest score).
2. Calculating the mean difference.
3. Determining the standard deviation of the differences.
4. Using these values to compute the t-value.
Students are encouraged to follow these steps accurately and refer to statistical tables or software to find the t-value and understand its significance level in the context of their hypothesis.
**Note**: The specific value of "the appropriate t" will depend on the analysis performed using the scores provided.
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