An experiment was conducted to determine if motivational techniques in management significantly impacted 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 transformational motivation technique, and then a control group with no new technique used.  Stress levels were self-reported by the employees as shown below.  Use alpha = 0.05TransformationalTransactionalControl026755338509215 Using the 95% significance level, is there a significance difference in stress levels between the three groups?Do you reject or accept the null hypothesis?

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Asked Dec 8, 2019
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An experiment was conducted to determine if motivational techniques in management significantly impacted 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 transformational motivation technique, and then a control group with no new technique used.  Stress levels were self-reported by the employees as 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. Using the 95% significance level, is there a significance difference in stress levels between the three groups?
  2. Do you reject or accept the null hypothesis? 
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Expert Answer

Step 1

1.

There is a significance difference in stress levels between the three groups is obtained below:

The null and alternative hypothesis is obtained below:

Null hypothesis:

H0: µ1 = µ2 = µ3

That is, there is no significant difference in stress levels between the three groups.

Alternative hypothesis:

H1:µ1 ≠ µ2 ≠ µ3

That is, there is significant difference in stress levels between the three groups.

The p-value for between groups is obtained below:

Step-by-step procedure to compute one-wa...

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One-way ANOVA: Transformational, Transactional, Control Source DF MS 51.73 25.87 5.43 0.021 Factor Error 12 57.20 4.77 Total 14 108.93 R-Sq (adj) = 38.748 S = 2.183 R-Sq = 47.49% Level Mean StDev Transformational 3.400 2.702 Transactional 2.200 1.924 Control 6.600 1.817 Individual 95% CIs For Mean Based on Pooled StDev Level +-------- ----+------ Transformational -------) (---- Transactional --------*- ---) Control (-- -- 0.0 2.5 5.0 7.5 Pooled StDev = 2.183

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