A human resource (HR) manager wants to see if employees of the
company are experiencing burnout. The HR manager knows that burnout
in the general population is defined at 89, and obtains a random
sample of employees from the company who fill out a burnout
questionnaire. What can the HR manager conclude with α = 0.05? The
data are below.
id | burnout |
---|---|
2 6 8 1 3 4 5 7 11 21 19 15 45 33 24 46 30 47 22 |
71 89 82 97 90 85 72 87 87 89 81 86 64 95 96 96 75 90 84 |
a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test
Related-Samples t-test
b)
Population:
---Select--- questionnaire company employees company employees HR
manager general population
Sample:
---Select--- questionnaire company employees company employees HR
manager general population
c) Compute the appropriate test statistic(s) to
make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)
p-value = ; Decision: ---Select---
Reject H0 Fail to reject H0
d) Using the SPSS results,
compute the corresponding effect size(s) and indicate
magnitude(s).
If not appropriate, input and/or select "na" below.
d = ; ---Select--- na trivial
effect small effect medium effect large effect
r2 = ; ---Select--- na
trivial effect small effect medium effect large effect
e) Make an interpretation based on the
results.
Employees of the company have significantly more burnout than what is defined for the population.Employees of the company have significantly lower burnout than what is defined for the population. Employees of the company do not have significantly different burnout than what is defined for the population.
id | burnout |
2 | 71 |
6 | 89 |
8 | 82 |
1 | 97 |
3 | 90 |
4 | 85 |
5 | 72 |
7 | 87 |
11 | 87 |
21 | 89 |
19 | 81 |
15 | 86 |
45 | 64 |
33 | 95 |
24 | 96 |
46 | 96 |
30 | 75 |
47 | 90 |
22 | 84 |
mean | 85.05263 |
sd | 9.155895 |
a) t-test | |||
b) | |||
population | general population | ||
sample | company employees | ||
c) | |||
TS | 1.8792 | ||
p-value | 0.0765 | ||
Decision | fail to reject | ||
d) | |||
d | 0.4311 | magnitude | small |
r^2 | na | magnitude | na |
e) | option C) |
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