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

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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

 

 

### 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.
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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