An experiment was conducted to determine if motivational techniques in management significantly affected employee stress levels compared to no intervention.  An employee survey was given to three groups: one group under a manager who started using a transformational motivation technique, one group under a manager who began using a transactional motivation technique, and then a control group with no new technique used.  Stress levels were self-reported by the employees on 10-point Likert scales (0 – no stress, 1- little stress, 9 – very high stress). The results are shown below. Use alpha = 0.05. Transformational Transactional Control 0 2 6 7 5 5 3 3 8 5 0 9 2 1 5   Explain why using ANOVA is appropriate for this data. What assumptions need to be addressed to use this type of test? What is your null hypothesis and alternative hypothesis?   After running the single factor analysis of variance (ANOVA) on the data, what is the p-value for between groups?Using the 95% significance level, is there a significance difference in stress levels between the three groups? Explain.

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Part I - ANOVA

An experiment was conducted to determine if motivational techniques in management significantly affected employee stress levels compared to no intervention.  An employee survey was given to three groups: one group under a manager who started using a transformational motivation technique, one group under a manager who began using a transactional motivation technique, and then a control group with no new technique used.  Stress levels were self-reported by the employees on 10-point Likert scales (0 – no stress, 1- little stress, 9 – very high stress). The results are shown below. Use alpha = 0.05.

Transformational

Transactional

Control

0

2

6

7

5

5

3

3

8

5

0

9

2

1

5

 

  1. Explain why using ANOVA is appropriate for this data. What assumptions need to be addressed to use this type of test?

  2. What is your null hypothesis and alternative hypothesis?

 

  1. After running the single factor analysis of variance (ANOVA) on the data, what is the p-value for between groups?Using the 95% significance level, is there a significance difference in stress levels between the three groups? Explain.

 

  1. From the results in #3, what decisions could be made by management? Discuss changes management should put in place based on your hypothesis test results.
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