In: Statistics and Probability
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 |
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
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.
NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER.....***PLEASE SUPPORT ME WITH YOUR RATING.....
**PLEASE GIVE ME "LIKE"......THANK YOU