Week 2 – Problem Set

Submit your work in an Excel document. See

Where Is Help Button in Microsoft Excel 2007, 2010, 2013 and 2016 (Links to an external site.)

,

Load the Analysis ToolPak (Links to an external site.)

, and

Use the Analysis ToolPak to Perform Complex Data Analysis (Links to an external site.)

for more information on how to use the required technologies for the course. Be sure to show all of your work and clearly label all calculations.

All statistical calculations will use the data found in the Data tab

2

>

D a

ta

ompa

idpoint

ge

1

.5

.

92

5

8 0

0 M

2

.5

4

7 0

0 M

3

.2

3

31

5 1

1

B

4

0

1 M E

5

.4

16 0 5.7 1 M D

6

36

0

1 M F

7

.5

100 8 1 5.7 1 F C

8

.4

32 90 9 1

1 F A

9

67 49 100 10 0 4 1 M F

10

23 30 80 7 1

1 F A

23 41 100

1

1 F A

12

57 52

22 0 4.5 0 M E

40 30 100 2 1 4.7 0 F C

23 32 90 12 1 6 1 F A

23 32 80 8 1

1 F A

16

40

90 4 0 5.7 0 M C

.7

57

3 1 3 1 F E

31 31 80 11 1 5.6 0 F B

19

23 32 85 1 0

1 M A

.4

31 44 70 16 1 4.8 0 F B

1.153 67

95 13 0

1 M F

22

.3

48 48 65 6 1

1 F D

23

23 36 65 6 1 3.3 0 F A

24

.2

48 30 75 9 1 3.8 0 F D

23 41 70 4 0 4 0 M A

26

23 22 95 2 1

0 F A

27

40 35 80 7 0 3.9 1 M C

67 44 95 9 1 4.4 0 F F

77.3

67 52 95 5 0

0 M F

30

48

90 18 0

0 M D

31

23 29

4 1 3.9 1 F A

32

31 25 95 4 0 5.6 0 M B

58 1.018 57 35 90 9 0 5.5 1 M E

34

31 26 80 2 0 4.9 1 M B

35

23 23 90 4 1

0 F A

36

23 27 75 3 1 4.3 0 F A

37 23.9

23 22 95 2 1 6.2 0 F A

38

57 45 95 11 0 4.5 0 M E

31 27 90 6 1 5.5 0 F B

40 25

23 24 90 2 0 6.3 0 M A

41

40 25 80 5 0 4.3 0 M C

42 22.7

23 32 100 8 1 5.7 1 F A

43

67 42 95 20 1 5.5 0 F F

44 65

57 45 90 16 0

1 M E

45

48 36 95 8 1 5.2 1 F D

57 39 75 20 0 3.9 1 M E

47

57 37 95 5 0 5.5 1 M E

48

57 34 90 11 1 5.3 1 F E

49 60

57 41 95 21 0

0 M E

59.5 1.043 57 38 80 12 0 4.6 0 M E

ID	Salary						C																										M																A	Performance Rating	Service	Gender	Raise	Degree	Gender																																																					1	Grade	Do not manipuilate Data set on this page, copy to another page to make changes
					5					6																																																			0					9	5				7						3									4							8					5.7												E	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)?
		26	0.	85									31			52								80				3.9							B	Note: to simplfy the analysis, we will assume that jobs within each grade comprise equal work.
		34	1.		10					30				75	3.6																															F
61.3	1.076											57			42						100					16					5.5	The column labels in the table mean:
		49	1.030							48					36											90	ID – Employee sample number	Salary – Salary in thousands
72.3	1.079						67			70				12			4.5	Age – Age in years	Performance Rating – Appraisal rating (employee evaluation score)
				41	1.0		37						40							32	Service – Years of service (rounded)	Gender – 0 = male, 1 = female
				22	0.976																	23	5.8	Midpoint – salary grade midpoint	Raise – percent of last raise
7	3.3	1.094	Grade – job/pay grade	Degree (0= BS\BA 1 = MS)
23.6	1.0		24		4.7	Gender1 (Male or Female)	Compa-ratio – salary divided by midpoint
			11	23.1	1.003		19		4.8
61.7	1.082												95
	13	41.9	1.048
14	23.4	1.016
15	22.9	0.994		4.9
41.3	1.032				44
17				65		1.153				27	55
	18	3		5.6	1.148
23.5	1.023		4.6
		20				35	1.141
	21		77.3		43		6.3
	58	1.215		3.8
22.3	0.970
	47	0.984
			25		23.9	1.041
2	4.4	1.059		6.2
44.2	1.105
28	76.2	1.1		38
	29	1.154	5.4
48.9		1.018				45			4.3
24.4	1.062		60
27.4	0.883
33
27.6	0.890
22.4	0.975		5.3
	22.7	0.985
1.037
	59.5		1.043
	39	35.1	1.132
1.087
40.9	1.022
0.987
73.9	1.103
1.140		5.2
52.4	1.092
46	60.6	1.063
61.1	1.072
68.7	1.206
1.052	6.6
50

Week2

to the right for your use this week.

1

a

b

2

a What is the data input ranged used for this question:

b

Why:
c. Step 1: Ho:
Ha:
Step 2: Significance (Alpha):
Step 3: Test Statistic and test:
Why this test?
Step 4: Decision rule:

Step 5:

Step 6: Conclusion and Interpretation
What is the p-value:
What is your decision: REJ or NOT reject the null?
Why?

3

a What is the data input ranged used for this question:

b Does this question need a one or two-tail hypothesis statement and test?
Why:
c. Step 1: Ho:
Ha:
Step 2: Significance (Alpha):
Step 3: Test Statistic and test:
Why this test?
Step 4: Decision rule:

Step 5:

Step 6: Conclusion and Interpretation
What is the p-value:

What is your decision: REJ or NOT reject the null?
Why?

4

Week 2: Identifying Significant Differences – part 1
To Ensure full credit for each question, you need to show how you got your results. This involves either showing where the data you used is located
or showing the excel formula in each cell.	Be sure to copy the appropriate data columns from the data ta			b
As with our examination of compa-ratio in the lecture, the first question we have about salary between the genders involves equality – are they the same or different?
What we do, depends upon our findings.
As with the compa-ratio lecture example, we want to examine salary variation within the groups – are they equal?	Use Cell K10 for the Excel test outcome location.
		What is the data input ranged used for this question:
Which is needed for this question: a one- or two-tail hypothesis statement and test ?
Answer:
		Why:
		c. Step 1:			Ho:
		Ha:
		Step 2:			Significance (Alpha):
		Step 3:			Test Statistic and test:
		Why this test?
		Step 4:			Decision rule:
		Step 5:	Conduct the test – place test function in cell k10
		Step 6:			Conclusion and Interpretation
		What is the p-value:
		What is your decision: REJ or NOT reject the null?
		Why?
What is your conclusion about the variance in the population for male and female salaries?
Once we know about variance quality, we can move on to means: Are male and female average salaries equal?	Use Cell K35 for the Excel test outcome location.
(Regardless of the outcome of the above F-test, assume equal variances for this test.)
	Does this question need a one or two-tail hypothesis statement and test?
Conduct the test – place test function in cell K35
What is your conclusion about the means in the population for male and female salaries?
Education is often a factor in pay differences.
Do employees with an advanced degree (degree = 1) have higher average salaries?	Use Cell K60 for the Excel test outcome location.
Note: assume equal variance for the salaries in each degree for this question.
Conduct the test – place test function in cell K60
Is the t value in the t-distribution tail indicated by the arrow in the Ha claim?
What is your conclusion about the impact of education on average salaries?
Considering both the compa-ratio information from the lectures and your salary information, what conclusions can you reach about equal pay for equal work?
Your findings:
The lecture’s related findings:
Overall conclusion:
Why – what statistical results support this conclusion?