Question

In: Statistics and Probability

Application Exercise: In a bottling company, all female employees with 2 to 4 years of experience...

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.

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