In: Statistics and Probability
Application Exercise:
In a bottling company, all female employees with 2 to 4 years of
experience have a mean salary of $27300 with a with a variance of
$30913600.00. A random sample of 29 male employees also having 2 to
4 years of experience had a mean salary of $28800. The company
accountant believes that male employees make more money than female
employees. What can be concluded with α = 0.10?
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--- the CEO male employees bottling company salary female
employees
Sample:
---Select--- the CEO male employees bottling company salary female
employees
c) Obtain/compute the appropriate values to make a
decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
d) If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.
[ , ]
e) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and 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
f) Make an interpretation based on the
results.
The salary of male employees is significantly higher than female employees.
The salary of male employees is significantly lower than female employees.
The salary of male employees did not differ from female employees.