BUS 308 Statistics for Managers week 3

Week 3 Assignment

Problem Set Week Three. Complete the problems below and submit your work in an Excel document.

Be sure to show all of your work and clearly label all calculations. All statistical calculations will use the Employee Salary Data set (in Appendix section).

1. Is the average salary the same for each of the grade levels? (Assume equal variance, and use the Analysis ToolPak function ANOVA.) Set up the data input table/range to use as follows:

Put all of the salary values for each grade under the appropriate grade label.

A B C D E F

2. The factorial ANOVA with only two variables can be done with the Analysis ToolPak function two-way ANOVA with replication. Set up a data input table like the following:

Grade

Gender A B C D E F

M

F

For each empty cell, randomly pick a male or female salary from each grade. Interpret the results. Are the average salaries for each gender (listed as sample) equal? Are the average salaries for each grade (listed as column) equal?

3. Repeat question 2 for the compa values.

Grade

Gender A B C D E F

M

For each empty cell randomly pick a male or female compa from each grade. Interpret the results. Are the average compas for each gender (listed as sample) equal? Are the average compas for each grade (listed as column) equal?

4. Pick any other variable you are interested in and do a simple two-way ANOVA without replication. Why did you pick this variable, and what do the results show?

5. What are your conclusions about salary equity now?