Employees of MNM Corporation are about to undergo a retraining program. Management is trying to determine which of three programs is the best. They believe tha the effectiveness of the programs may be influenced by gender. A factorial experiment was designed. You are given the following information. Program Gender Male 320 Female Program 1 380 240 160 180 240 300 Program 2 240 210 Program 3 360 290 380 Test to determine whether there is a significant difference in the means due to program type and gender, and whether significant interaction exists. Use 10% level of significance.

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**Study on Retraining Programs at MNM Corporation**

Employees of MNM Corporation are about to undergo a retraining program. Management is assessing which of three programs is most effective. They suspect the effectiveness may be influenced by gender. A factorial experiment was conducted. Below is the information from the experiment:

| Program    | Gender |      |      |
|------------|--------|------|------|
|            | Male   | Female |
| **Program 1** | 320    | 380    |
|            | 240    | 300    |
| **Program 2** | 160    | 240    |
|            | 180    | 210    |
| **Program 3** | 240    | 360    |
|            | 290    | 380    |

Management is tasked with determining if there’s a significant difference in the program effectiveness based on type and gender, and whether any notable interaction exists, using a significance level of 10%.
Transcribed Image Text:**Study on Retraining Programs at MNM Corporation** Employees of MNM Corporation are about to undergo a retraining program. Management is assessing which of three programs is most effective. They suspect the effectiveness may be influenced by gender. A factorial experiment was conducted. Below is the information from the experiment: | Program | Gender | | | |------------|--------|------|------| | | Male | Female | | **Program 1** | 320 | 380 | | | 240 | 300 | | **Program 2** | 160 | 240 | | | 180 | 210 | | **Program 3** | 240 | 360 | | | 290 | 380 | Management is tasked with determining if there’s a significant difference in the program effectiveness based on type and gender, and whether any notable interaction exists, using a significance level of 10%.
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