Ashford BUS308 2020 September Week 1 Assignment Latest

BUS308 Statistics for Managers

Week 1 Assignment   

ID            Salary    Compa  Midpoint             Age        Performance Rating        Service Gender                Raise     Degree Gender1                Grade

1              60.2        1.056     57           34           85           8              0              5.7          0              M            E

2              27.7        0.893     31           52           80           7              0              3.9          0              M            B

3              35.5        1.145     31           30           75           5              1              3.6          1              F              B

4              56.1        0.985     57           42           100         16           0              5.5          1              M            E

5              48.9        1.018     48           36           90           16           0              5.7          1              M            D

6              74.1        1.106     67           36           70           12           0              4.5          1              M            F

7              42.2        1.055     40           32           100         8              1              5.7          1              F              C

8              21.4        0.929     23           32           90           9              1              5.8          1              F              A

9              77.1        1.151     67           49           100         10           0              4              1              M            F

10           22.6        0.983     23           30           80           7              1              4.7          1              F              A

11           23.8        1.036     23           41           100         19           1              4.8          1              F              A

12           67.4        1.183     57           52           95           22           0              4.5          0              M            E

13           40.2        1.004     40           30           100         2              1              4.7          0              F              C

14           23.7        1.032     23           32           90           12           1              6              1              F              A

15           23           1.000     23           32           80           8              1              4.9          1              F              A

Do not manipuilate Data set on this page, copy to another page to make changes                                                                            

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                                  Salary – Salary in thousands                                                       

Age – Age in years                                           Performance Rating - Appraisal rating (employee evaluation score)                                                        

Service – Years of service (rounded)                                       Gender – 0 = male, 1 = female                                                  

Midpoint – salary grade midpoint                                             Raise – percent of last raise                                                        

Grade – job/pay grade                                  Degree (0= BS\BA 1 = MS)                                                          

Gender1 (Male or Female)                                          Compa-ratio - salary divided by midpoint                                                             

Week 1: Descriptive Statistics, including Probability                                                                                                                                         

While the lectures will examine our equal pay question from the compa-ratio viewpoint, our weekly assignments will focus on                          

examining the issue using the salary measure.                                                                                                                                  

                                                                                                                                                                                                               

The purpose of this assignmnent is two fold:                                                                                                                                     

1. Demonstrate mastery with Excel tools.                                                                                                                                                            

2. Develop descriptive statistics to help examine the question.                                                                                                                 

3. Interpret descriptive outcomes                                                                                                                                                                                                                                                                                                                                                                           

The first issue in examining salary data to determine if we - as a company - are paying males and females equally for doing equal work is to develop some

descriptive statistics to give us something to make a preliminary decision on whether we have an issue or not.                                                                                                                                 

1              Descriptive Statistics: Develop basic descriptive statistics for Salary                                                                                          

                The first step in analyzing data sets is to find some summary descriptive statistics for key variables.                                                         

                Suggestion: Copy the gender1 and salary columns from the Data tab to columns T and U at the right.                                                     

                Then use Data Sort (by gender1) to get all the male and female salary values grouped together.                                                                                                                                                               

                a.            Use the Descriptive Statistics function in the Data Analysis tab                                    Place Excel outcome in Cell K19

                                to develop the descriptive statistics summary for the overall                                                                                      

                                group's overall salary.  (Place K19 in output range.)                                                                                                         

                                Highlight the mean, sample standard deviation, and range.                                                                                                                                                                                                                                                                         

                b.            Using Fx (or formula) functions find the following (be sure to show the formula                                                               

                                and not just the value in each cell) asked for salary statistics for each gender:                                                                    

                                                Male      Female                                                                                                                                

                                Mean:                                                                                                                                                                 

                                Sample Standard Deviation:                                                                                                                                                                      

                                Range:                                                                                                                                                                                                                                                                                                                                                

2              Develop a 5-number summary for the overall, male, and female SALARY variable.                                                                           

                For full credit, use the excel formulas in each cell rather than simply the numerical answer.                                                         

                                                                Overall  Males    Females                                                                                                              

                                                Max                                                                                                                                                     

                                                3rd Q                                                                                                                                                   

                                                Midpoint                                                                                                                                                           

                                                1st Q                                                                                                                                                    

                                                Min                                                                                                                                                      

                                                                                                                                                                                                               

3              Location Measures: comparing Male and Female midpoints to the overall Salary data range.                                                       

                For full credit, show the excel formulas in each cell rather than simply the numerical answer.                                                     

                Using the entire Salary range and the M and F midpoints found in Q2      Male      Female                                                

                a. What would each midpoint's percentile rank be in the overall range?                                Use  Excel's =PERCENTRANK.EXC function

                b. What is the normal curve z value for each midpoint within overall range?                                        Use Excel's =STANDARDIZE function                                                                                                                                                                              

4              Probability Measures: comparing Male and Female midpoints to the overall Salary data range                                   

                For full credit, show the excel formulas in each cell rather than simply the numerical answer.                                     

                Using the entire Salary range and the M and F midpoints found in Q2, find           Male      Female                                

                a. The Empirical Probability of  equaling or exceeding (=>) that value for                                               Show the calculation formula = value/50 or =countif(range,">="&cell)/50

                b. The Normal curve Prob of  => that value for each group                                                           Use "=1-NORM.S.DIST" function

                Note: be sure to use the ENTIRE salary range for part a when finding the probability.                                                     

                                                                                                                               

5              Conclusions: What do you make of these results?            Be sure to include findings from this week's lectures as well.               

                In comparing the overall, male, and female outcomes, what relationship(s) see, to exist between the data sets?                 

                Your findings:                                                                                                                                                   

                The lecture's related findings:                                                                                                                                   

                Overall conclusion:                                                                                                                                                         

                What does this suggest about our equal pay for equal work question?