Question

In: Statistics and Probability

ANOVA An experiment was conducted to determine if motivational techniques in management significantly impacted employee stress...

ANOVA

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. What is your null hypothesis?
  2. What is your alternative hypothesis?

3. After running the single factor analysis of variance on the data, what is the p-value for between groups?

4. Using the 95% significance level, is there a significance difference in stress levels between the three groups? Yes                        No

5. Do you reject or accept the null hypothesis?                                Reject                   Accept

Solutions

Expert Solution

ANSWER::

1. H0: There is no significant difference in stress levels between the three groups

2. H1: There is significant difference in stress levels between the three groups

3.

Total Ti

Ti^2

Transformational

0

7

3

5

2

17

289

Transactional

2

5

3

0

1

11

121

Control

6

5

8

9

5

33

1089

Total :

61

1499

One-way ANOVA: Transformational, Transactional, Control

Source DF      SS     MS     F      P
Factor   2   51.73 25.87 5.43 0.021
Error   12   57.20   4.77
Total   14 108.93

S = 2.183   R-Sq = 47.49%   R-Sq(adj) = 38.74%

Level             N   Mean StDev
Transformational 5 3.400 2.702
Transactional     5 2.200 1.924
Control           5 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

Therefore, P-Value = 0.021

4. Yes, There is significant difference in stress levels between the three groups

5. Here P-Value = 0.021 < alpha (=0.05), We reject null hypothesis H0.

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