Question

# Application Exercise: In a fast food company, all male employees with 3 to 5 years of...

Application Exercise:
In a fast food company, all male employees with 3 to 5 years of experience have an average salary of \$27900 with a with a standard deviation of \$5090. A random sample of 27 female employees also having 3 to 5 years of experience had an average salary of \$27200. The company accountant suspects a different in salary practices for males and females. What can be concluded with an α of 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--- fast food company the CEO male employees salary female employees
Sample:
---Select--- fast food company the CEO male employees 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 lower than female employees.

The salary of male employees is significantly higher than female employees.

The salary of male employees did not differ from female employees.

a)
z-test

b)
Population:
male employees
Sample:
female employees

c)
critical value = 1.645; test statistic = -0.715
Decision: Fail to reject H0

d)
[ 25588.75 , 28811.25 ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and select "na" below.
d = 0.138 ;   trivial effect
r2 =  ;   na

f) Make an interpretation based on the results.

The salary of male employees did not differ from female employees.

 27,200.00 mean 1 5,090.00 std. dev. 979.57 std. error 27 n 0.138 -0.715 z .4749 p-value (two-tailed) 25,588.75 confidence interval 90.% lower 28,811.25 confidence interval 90.% upper 1,611.25 margin of error

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