BUS308 Assignments Week 3 - Assignment.docx

30 July, 2024 | 11 Min Read

Week 3: Identifying Significant Differences - part 2

To Ensure full credit for each question, you need to show how you got your results. This invo or showing the excel formula in each cell. Be sure to copy t

1 A good pay program will have different average salaries by grade. Is this the case

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

Note: assume equal variances for each grade, even though this may not be accurate, for p

b. Step 1: Ho:All salary means are the same.

Ha:At less one salary mean is different

Step 2:Significance (Alpha): 0.05

Step 3:Test Statistic and test: Anova single factor

Why this test?comparing multible means

Step 4: Decision rule: p<0.05

Step 5:Conduct the test - place test function in cell K08

Step 6:Conclusion and Interpretation

What is the p-value: 0

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

Why?At less one or more is differ

What is your conclusion about the means in the population for grade salaries?Signifily different between g

2 If the null hypothesis in question 1 was rejected, which pairs of means differ? (Use the values from the ANOVA table to complete the follow table.)

Groups

Compared Mean Diff. T value used +/- Term

A-B 7.74 2.015 2.13

A-C 17.85 2.015 2.41

A-D 26.41 2.015 2.41

A-E 37.68 2.015 1.81

A-F 51.5 2.015 2.25

B-C 10.11 2.015 2.73

B-D 18.67 2.015 2.73

B-E 29.94 2.015 2.22

B-E 43.76 2.015 2.59

C-D 8.56 2.015 2.95

C-E 19.83 2.015 2.48

C-F 33.65 2.015 2.82

D-E 11.27 2.015 2.48

D-F 25.09 2.015 2.82

E-F 13.83 2.015 2.33

3 One issue in salary is the grade an employee is in - higher grades have higher salar

This suggests that one question to ask is if males and females are distributed in a si a What is the data input ranged used for this question:

b. Step 1: Ho:males and females are distributed evenly

Ha:Males and females are not distributed eve

Step 2:Significance (Alpha): 0.05

Step 3:Test Statistic and test: Chisq.test Why this test?

Step 4: Decision rule: p<0.05

Step 5:Conduct the test - place test function in cell K54

Step 6:Conclusion and Interpretation

What is the p-value:0.04

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

Why? p<alpha

What is your conclusion about the means in the population for male and female salaries?Males and females are not d

4 What implications do this week’s analysis have for our equal pay question?

Your findings:

The lecture’s related findings:

Overall conclusion:

Why - what statistical results support this conclusion?

olves either showing where the data you used is located

the appropriate data columns from the data tab to the right for your use this week.

for our company? Yes

D & AE, and data input table in Column U Use Cell K08 for the Excel test outcome loc purposes of this question. Anova: Single Factor

SUMMARY

Groups Count Sum Average

A 15 354.5 23.63

B 7 219.6 31.37

C 5 207.4 41.48

D 5 250.2 50.04

E 12 735.7 61.31

F 6 450.8 75.13

rent ANOVA

grades Between G 16956.57 5 3391.31

Within Grou 235.75 44 5.36

Total 17192.32 49

Difference

Low to High Significant? Why?

5.6 9.87 yes Interval does not contain zero

15.44 20.26 yes Interval does not contain zero

24 28.82 yes Interval does not contain zero 35.87 39.48 yes Interval does not contain zero 49.25 53.75 yes Interval does not contain zero

7.38 12.84 yes Interval does not contain zero 15.94 21.4 yes Interval does not contain zero 27.72 32.16 yes Interval does not contain zero 41.17 46.36 yes Interval does not contain zero

5.61 11.51 yes Interval does not contain zero 17.35 22.31 yes Interval does not contain zero

30.83 36.48 yes Interval does not contain zero

8.79 13.75 yes Interval does not contain zero 22.27 27.92 yes Interval does not contain zero

11.49 16.16 yes Interval does not contain zero

ries. imilar pattern across the salary grades?

Columns AG & AH Use Cell K54 for the Excel test outcome loc #NAME? across the grade. enly across the grade.

Place the actual distribution in the table be

A B C

3 3 3

12 4 2

Male

Female

Sum: 15 7 5

Place the expected distribution in the table

A B C

7.5 3.5 2.5

7.5 3.5 2.5

Male

Female

Sum: 15 7 5 distributed evenly across the grade.

After breaking down the data into the tables and running the different test we can see that there are a lot this still does not answer the question of equal pay for equal work. We need to look into a Male and Fem that females are significaly underpaid compared to their male counter parts.

cation.

elow.

D E F Sum

2 10 4

3 2 2

5 12 6

e below.

D E F

2.5 6 3

2.5 6 3

25

25

50

25

25

5 12 6 50

more females in the lower salary grades than males. But I feel male doing the same job. But the data does show for this company

Salary Range Groups Salary Grade

B C D E F

23.6	A

28 41.6 48.7 58 75.4 22.5 A

33.8 41.4 51.4 64.8 73.8 24.1 A

34.9 44.7 48.6 58.3 73.5 23.2 A

33.4 39.2 48.6 63.8 75.8 22.5 A

27.5 40.5 52.9 58 76.3 24.9 A

27 60.8 76 25.1 A

35 63.1 24.4 A

59.1 24.3 A

62.6 23.4 A

67.4 23 A

58.4 23 A

61.4 23.6 A

24.3 A

22.6 A

28 B

33.8 B

34.9 B

33.4 B

27.5 B

27 B

35 B

41.6 C

41.4 C

44.7 C

39.2 C

40.5 C

48.7 D

51.4 D

48.6 D

48.6 D

52.9 D

58 E

64.8 E

58.3 E

63.8 E

58 E

60.8 E

63.1 E

59.1 E

62.6 E

67.4 E

58.4 E

61.4 E

75.4 F

73.8 F

73.5 F

75.8 F

76.3 F

76 F

Gender1 Grade

F A

F A

F A

F A

F A

F A

F A

F A

F A

F A

F A

F A

M A

M A

M A

F B

F B

F B

F B

M B

M B

M B

F C

F C

M C

M C

M C

F D

F D

F D

M D

M D

F E

F E

M E

M E

M E

M E

M E

M E

M E

M E

M E

M E

F F

F F

M F

M F

M F

M F

Week 3: Identifying Significant Differences - part 2

To Ensure full credit for each question, you need to show how you got your results. This invo or showing the excel formula in each cell. Be sure to copy t

1 A good pay program will have different average salaries by grade. Is this the case

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

Note: assume equal variances for each grade, even though this may not be accurate, for p

b. Step 1: Ho:All salary means are the same.

Ha:At less one salary mean is different

Step 2:Significance (Alpha): 0.05

Step 3:Test Statistic and test: Anova single factor

Why this test?comparing multible means

Step 4: Decision rule: p<0.05

Step 5:Conduct the test - place test function in cell K08

Step 6:Conclusion and Interpretation

What is the p-value: 0

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

Why?At less one or more is differ

What is your conclusion about the means in the population for grade salaries?Signifily different between g

2 If the null hypothesis in question 1 was rejected, which pairs of means differ? (Use the values from the ANOVA table to complete the follow table.)

Groups

Compared Mean Diff. T value used +/- Term

A-B 7.74 2.015 2.13

A-C 17.85 2.015 2.41

A-D 26.41 2.015 2.41

A-E 37.68 2.015 1.81

A-F 51.5 2.015 2.25

B-C 10.11 2.015 2.73

B-D 18.67 2.015 2.73

B-E 29.94 2.015 2.22

B-E 43.76 2.015 2.59

C-D 8.56 2.015 2.95

C-E 19.83 2.015 2.48

C-F 33.65 2.015 2.82

D-E 11.27 2.015 2.48

D-F 25.09 2.015 2.82

E-F 13.83 2.015 2.33

3 One issue in salary is the grade an employee is in - higher grades have higher salar

This suggests that one question to ask is if males and females are distributed in a si a What is the data input ranged used for this question:

b. Step 1: Ho:males and females are distributed evenly

Ha:Males and females are not distributed eve

Step 2:Significance (Alpha): 0.05

Step 3:Test Statistic and test: Chisq.test Why this test?

Step 4: Decision rule: p<0.05

Step 5:Conduct the test - place test function in cell K54

Step 6:Conclusion and Interpretation

What is the p-value:0.04

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

Why? p<alpha

What is your conclusion about the means in the population for male and female salaries?Males and females are not d

4 What implications do this week’s analysis have for our equal pay question?

Your findings:

The lecture’s related findings:

Overall conclusion:

Why - what statistical results support this conclusion?

olves either showing where the data you used is located

the appropriate data columns from the data tab to the right for your use this week.

for our company? Yes

D & AE, and data input table in Column U Use Cell K08 for the Excel test outcome loc purposes of this question. Anova: Single Factor

SUMMARY

Groups Count Sum Average

A 15 354.5 23.63

B 7 219.6 31.37

C 5 207.4 41.48

D 5 250.2 50.04

E 12 735.7 61.31

F 6 450.8 75.13

rent ANOVA

grades Between G 16956.57 5 3391.31

Within Grou 235.75 44 5.36

Total 17192.32 49

Difference

Low to High Significant? Why?

5.6 9.87 yes Interval does not contain zero

15.44 20.26 yes Interval does not contain zero

24 28.82 yes Interval does not contain zero 35.87 39.48 yes Interval does not contain zero 49.25 53.75 yes Interval does not contain zero

7.38 12.84 yes Interval does not contain zero 15.94 21.4 yes Interval does not contain zero 27.72 32.16 yes Interval does not contain zero 41.17 46.36 yes Interval does not contain zero

5.61 11.51 yes Interval does not contain zero 17.35 22.31 yes Interval does not contain zero

30.83 36.48 yes Interval does not contain zero

8.79 13.75 yes Interval does not contain zero 22.27 27.92 yes Interval does not contain zero

11.49 16.16 yes Interval does not contain zero

ries. imilar pattern across the salary grades?

Columns AG & AH Use Cell K54 for the Excel test outcome loc #NAME? across the grade. enly across the grade.

Place the actual distribution in the table be

A B C

3 3 3

12 4 2

Male

Female

Sum: 15 7 5

Place the expected distribution in the table

A B C

7.5 3.5 2.5

7.5 3.5 2.5

Male

Female

Sum: 15 7 5 distributed evenly across the grade.

After breaking down the data into the tables and running the different test we can see that there are a lot this still does not answer the question of equal pay for equal work. We need to look into a Male and Fem that females are significaly underpaid compared to their male counter parts.

cation.

elow.

D E F Sum

2 10 4

3 2 2

5 12 6

e below.

D E F

2.5 6 3

2.5 6 3

25

25

50

25

25

5 12 6 50

more females in the lower salary grades than males. But I feel male doing the same job. But the data does show for this company

Salary Range Groups Salary Grade

B C D E F

23.6	A

28 41.6 48.7 58 75.4 22.5 A

33.8 41.4 51.4 64.8 73.8 24.1 A

34.9 44.7 48.6 58.3 73.5 23.2 A

33.4 39.2 48.6 63.8 75.8 22.5 A

27.5 40.5 52.9 58 76.3 24.9 A

27 60.8 76 25.1 A

35 63.1 24.4 A

59.1 24.3 A

62.6 23.4 A

67.4 23 A

58.4 23 A

61.4 23.6 A

24.3 A

22.6 A

28 B

33.8 B

34.9 B

33.4 B

27.5 B

27 B

35 B

41.6 C

41.4 C

44.7 C

39.2 C

40.5 C

48.7 D

51.4 D

48.6 D

48.6 D

52.9 D

58 E

64.8 E

58.3 E

63.8 E

58 E

60.8 E

63.1 E

59.1 E

62.6 E

67.4 E

58.4 E

61.4 E

75.4 F

73.8 F

73.5 F

75.8 F

76.3 F

76 F

Gender1 Grade

F A

F A

F A

F A

F A

F A

F A

F A

F A

F A

F A

F A

M A

M A

M A

F B

F B

F B

F B

M B

M B

M B

F C

F C

M C

M C

M C

F D

F D

F D

M D

M D

F E

F E

M E

M E

M E

M E

M E

M E

M E

M E

M E

M E

F F

F F

M F

M F

M F

M F

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