BUS308 Assignments Week 1 - Problem Set.docx

30 July, 2024 | 7 Min Read

ID

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42 Salary

64.3 27.5 35.2 63.4 46.6

72.9 43

22.7 78.1 23.6

23.8 67

40.8

25

24

38.1 68.7 33.2 24.3 34.7 75.7

56.1 24

58.3 23.6 21.9 41.8 74.6 75.4 47.7

23.1 28

61.3

27.7 24

24.1 23.2 58.9 35.7 24.1 46.4

24.9 Comparatio

1.128 0.888 1.135 1.113 0.970 1.088 1.074 0.989 1.165 1.024 1.036 1.176 1.021 1.085 1.042 0.952 1.205 1.070 1.058 1.120 1.130 1.169 1.044 1.214 1.025 0.953 1.046 1.113 1.126 0.993 1.006 0.904 1.076 0.894 1.044 1.049 1.010 1.034 1.151 1.049 1.161

1.082 Midpoint

57

31

31

57

48

67

40

23

67

23

23

57

40

23

23

40

57

31

23

31

67

48

23

48

23

23

40

67

67

48

23

31

57

31

23

23

23

57

31

23

40

23 Age

34

52

30

42

36

36

32

32

49

30

41

52

30

32

32

44

27

31

32

44

43

48

36

30

41

22

35

44

52

45

29

25

35

26

23

27

22

45

27

24

25

32 Performance Rating

85

80

75

100

90

70

100

90

100

80

100

95

100

90

80

90

55

80

85

70

95

65

65

75

70

95

80

95

95

90

60

95

90

80

90

75

95

95

90

90

80 100 Service

8

7

5

16

16

12

8

9

10

7

19

22

2

12

8

4

3

11

1

16

13

6

6

9

4

2

7

9

5

18

4

4

9

2

4

3

2

11

6

2

5

8 Gender

0

0

1

0

0

0

1

1

0

1

1

0

1

1

1

0

1

1

0

1

0

1

1

1

0

1

0

1

0

0

1

0

0

0

1

1

1

0

1

0

0

1 Raise

5.7 3.9 3.6 5.5 5.7 4.5 5.7 5.8 4

4.7 4.8 4.5 4.7 6

4.9 5.7 3

5.6 4.6 4.8 6.3 3.8 3.3

3.8 4

6.2 3.9 4.4 5.4 4.3 3.9 5.6 5.5 4.9 5.3 4.3 6.2 4.5 5.5 6.3 4.3

5.7 Degree

0

0

1

1

1

1

1

1

1

1

1

0

0

1

1

0

1

0

1

0

1

1

0

0

0

0

1

0

0

0

1

0

1

1

0

0

0

0

0

0

0

1

43 76 1.135 67 42 95 20 1 5.5 0

44 60.6 1.063 57 45 90 16 0 5.2 1

45 56.4 1.174 48 36 95 8 1 5.2 1

46 60.2 1.057 57 39 75 20 0 3.9 1

47 64.6 1.134 57 37 95 5 0 5.5 1

48 69.7 1.222 57 34 90 11 1 5.3 1

49 60.4 1.059 57 41 95 21 0 6.6 0

50 61.4 1.078 57 38 80 12 0 4.6 0

Gender1

M

M

F

M

M

M

F

F

M

F

F

M

F

F

F

M

F

F

M

F

M

F

F

F

M

F

M

F

M

M

F

M

M

M

F

F

F

M

F

M

M

F Grade

E

B

B

E

D

F

C

A

F

A

A

E

C

A

A

C

E

B

A

B

F

D

A

D

A

A

C

F

F

D

A

B

E

B

A

A

A

E

B

A

C

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 Note: to simplfy the analysis, we will assume that jobs within each grade compr

The column labels in the table mean:

ID – Employee sample number Salary – Salary in thousands

Age – Age in years Performance Rating - Appraisal rating (e

Service – Years of service (roundGender – 0 = male, 1 = female

Midpoint – salary grade midpoinRaise – percent of last raise

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

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

F F

M E

F D

M E

M E

F E

M E

M E

and females paid the same for equal work (under the Equal Pay Act)? rise equal work.

employee evaluation score)

nt

Week 1: Descriptive Statistics, including Probability

While the lectures will examine our equal pay question from the compa-ratio viewpoint, our weekl 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 f descriptive statistics to give us something to make a preliminary decision on whether we have an is

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

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

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

a. Use the Descriptive Statistics function in the Data Analysis tab

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

Male Female

52 38.67

18.05 18.64

54.5 54.1

Mean: Sample Standard Deviation: Range:

2 Develop a 5-number summary for the overall, male, and female SALARY variable. For full credit, show the excel formulas in each cell rather than simply the numerical an

Overall Males Females

78.1 78.1 76

#NAME? #NAME? #NAME?

42.4 60.2 33.2

#NAME? #NAME? #NAME?

21.9 23.6 21.9

Max

3rd Q

Midpoint

1st Q Min

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

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

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

0.67

0.7674

a. What would each midpoint’s percentile rank be in the overall range?

b. What is the normal curve z value for each midpoint within overall range?

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

0.34

0.22

For full credit, show the excel formulas in each cell rather than simply the numerical an Using the entire Salary range and the M and F midpoints found in Q2, find Male a. The Empirical Probability of equaling or exceeding (=>) that value for

b. The Normal curve Prob of => that value for each group

5 Conclusions: What do you make of these results? Be sure to include findings from this

In comparing the overall, male, and female outcomes, what relationship(s) see, to exist b

I observe that the male overall average compa-ratio is higher compared to the fema probabability and distribution results indicate that males and females do not assum that a huge proportion of females are comparatively lower in the range compared

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

Even through I have not factored out equal work, the results suggest that males and paid in the company. Besides, there seem to be critical issues of gender pay gap in t further enquiry.

ly assignments will focus on females equally for doing equal work is to develop some ssue or not.

y variables.

U at the right. gether.

Place Excel outcome in Cell K19

Salary

Mean 45.33

Standard Error 2.74

Median 42.4

Mode 24

Standard Deviation 19.37

Sample Variance 375.24

Kurtosis -1.51

Skewness 0.22

Range 56.2

Minimum 21.9

Maximum 78.1

Sum 2266.7

Count 50

mula

nswer. ange.

nswer.

Female

0.37

-0.6264

Use Excel’s =PERCENTRANK.EXC function Use Excel’s =STANDARDIZE function

a range

nswer.

Female

0.64

0.73

Show the calculation formula = value/50 or =countif(range,">="&cell)/50 Use “=1-NORM.S.DIST” function

week’s lectures as well. between the data sets?

ales. Besides, the

me the same distribution and to the males.

d females are not equally

the company which calls for

Salary Gender1

35.2F

43F

22.7F 23.6F 23.8F 40.8F

25F

24F

68.7F 33.2F 34.7F

56.1F

24F

58.3F 21.9F 74.6F

23.1F

24F

24.1F 23.2F 35.7F

24.9F

76F

56.4F

69.7F

64.3M 27.5M 63.4M 46.6M 72.9M 78.1M

67M

38.1M 24.3M 75.7M 23.6M 41.8M 75.4M

47.7M

28M

61.3M 27.7M 58.9M 24.1M 46.4M

60.6M

60.2M 64.6M 60.4M

61.4M

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