Note: to simplfy the analysis, we will assume that jobs within each grade comprise equal work.

The ongoing question that the weekly assignments will focus on is: Are males and females paid the same for equal work (under the Equal Pay Act)?
Note: to simplfy the analysis, we will assume that jobs within each grade comprise equal work.

The column labels in the table mean:
ID – Employee sample number Sal – Salary in thousands
Age – Age in years
EES – Appraisal rating (Employee evaluation score)
SER – Years of service
G – Gender (0 = male, 1 = female)
Mid – salary grade midpoint Raise – percent of last raise
Grade – job/pay grade
Deg (0= BSBA 1 = MS)
Gen1 (Male or Female)
Compa – salary divided by midpoint, a measure of salary that removes the impact of grade
This data should be treated as a sample of employees taken from a company that has about 1,000
employees using a random sampling approach.
Mac Users: The homework in this course assumes students have Windows Excel, and
can load the Analysis ToolPak into their version of Excel.
The analysis tool pak has been removed from Excel for Windows, but a free third-party
tool that can be used (found on an answers Microsoft site) is:
http://www.analystsoft.com/en/products/statplusmacle
Like the Microsoft site, I make cannot guarantee the program, but do know that
Statplus is a respected statistical package. You may use other approaches or tools
as desired to complete the assignments.

Week 1. Describing the data.
<Use right click on the row numbers at the left to insert rows below each question for your results and comments.>
1 Using the Excel Analysis ToolPak function descriptive statistics, generate and show the descriptive statistics for each appropriate variable in the sample data set.
a. For which variables in the data set does this function not work correctly for? Why?
2

Sort the data by Gen or Gen 1 (into males and females) and find the mean and standard deviation for each gender for the following variables:
sal, compa, age, sr and raise. Use either the descriptive stats function or the Fx functions (average and stdev).

3

What is the probability for a:
a.
Randomly selected person being a male in grade E?
b. Randomly selected male being in grade E?
c. Why are the results different?

4

5

Find:
a. The z score for each male salary, based on only the male salaries.
b. The z score for each female salary, based on only the female salaries.
c. The z score for each female compa, based on only the female compa values.
d. The z score for each male compa, based on only the male compa values.
e. What do the distributions and spread suggest about male and female salaries?
Why might we want to use compa to measure salaries between males and females?
Based on this sample, what conclusions can you make about the issue of male and female pay equality?
Are all of the results consistent with your conclusion? If not, why not?

W eek 2
Testing means with the t-test
<Note: use right click on row numbers to insert rows to perform analysis below any question>
For questions 2 and 3 below, be sure to list the null and alternate hypothesis statements. Use .05 for your significance level in making your decisions.
For full credit, you need to also show the statistical outcomes – either the Excel test result or the calculations you performed.
1

Below are 2 one-sample t-tests comparing male and female average salaries to the overall sample mean.
Based on our sample, how do you interpret the results and what do these results suggest about the population means for male and female salaries?
Males
Females
Ho: Mean salary = 45
Ho: Mean salary = 45
Ha: Mean salary =/= 45
Ha: Mean salary =/= 45
Note when performing a one sample test with ANOVA, the second variable (Ho) is listed as the same value for every corresponding value in the data set.
t-Test: Two-Sample Assuming Unequal Variances
t-Test: Two-Sample Assuming Unequal Variances
Since the Ho variable has Var = 0, variances are unequal; this test defaults to 1 sample t in this situation
Male
Ho
Female
Ho
Mean
52
45
Mean
38
45
Variance
316
0
Variance
334.6667
0
Observations
25
25
Observations
25
25
Hypothesized Mean Difference 0
Hypothesized Mean Difference
0

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