Stats project
The
Project
The
infamous company, Canton & Associates, is in trouble again. The
Deputy Director has just resigned in the midst of rumors going around the
departments about discrimination, lawsuits, and even the company picnic has
been canceled.
I
would like to seek your help in putting together an Ad hoc Statistics
Report to be submitted to the CEO so that he can make the appropriate
corrective, proactive, and retroactive decisions for the troubled company. Review the issues following this report
description, and then review the data listed in the table starting on page 11
that is to be applied to issues 19. I recommend that you use Excel to construct your
histograms and tables and cut and paste them in your final Microsoft Word
document.
Issue
1
Nine employees need to be chosen randomly to serve on the
Grievance Board from the Employee Roster so that no one will say that we chose
employees based on popularity. You may use any method, including with the
aid of a random number table, to accomplish this task. However, you
have to explain your method, whichever you choose to use.
Please list the employees ID# after selecting them.
Issue
2
Please complete the following two conditional probability
tables. There have been complaints that there is skewness in certain
departments as it relates to ethnicity and gender. It seems that certain
supervisors are hiring only females or only Asians. Please complete this
accurately so that the CEO can see if there are hiring trends in his agency.
Table I

White

Black

Hispanic

Asian

Foreign

Total

Dept. 1







Dept. 2







Dept. 3







Dept. 4







Dept. 5







Total







Table II

Female

Male

Total

Black




White




Hispanic




Asian




Foreign




Total




Issue
3
Please create a histogram for vacation hours for employees
in Department 1, 3, and 5. Please exclude any vacation hours over 320 as
a person cannot accumulate vacation over that amount.
After you have created this histogram, please indicate the
distribution's shape.
Issue
4
Find the Mean weight for Departments 4 and 5 combined.
Find
the Mean salary for Department 2.
Find
Mean age for Department 1.
Find the Mean Placement Score (P. Score) for
Department 3.
Issue
5
Find the standard deviation for the evaluation score (E.
Score) of Department 5 and Department 2 separately.
The CEO is thinking about giving one of these department a
$1000 per person bonus. Based on their means and standard deviation,
which department is doing better as it relates to this year's evaluation?
Who should the bonus go to and why?
Issue
6
The Equal Opportunity Commission has cited Jordan &
Associates with discrimination against Asian females and Hispanic
females. They need to promote either an Asian female or an Hispanic
female within the next month. Based on their evaluation scores (E.
Score), find the corresponding z score for each Asian and
Hispanic female and make a decision on which person should be promoted.
Please list them by their ID # based on the percentile.
Use s = 6.06 and m = 16.
Issue
7
Please refer to the conditional probability table or
complete it first before attempting this assignment. The CEO has asked
for a committee to be formed to approve and review promotions. Please
list all your answers in percentages?
From Table 1, what is the probability of choosing an African
American employee?
From Table 2, what is the probability of choosing an Asian
female given all females?
From Table 1, what is the probability of choosing a White
employee from Dept. 2 and then an Hispanic employee from Dept. 3?
From Table 2, what is the probability of choosing a Black
male or Foreign male?
From Table 1, what is the probability of choosing a
Foreigner or an Hispanic both from Department 5?
Issue 8
Find the evaluation score (E. Score) confidence intervals
for the following two departments: Department 1 and Department 4 combined.
Find the confidence interval at the 95% level. Use
s = 6.06 and .gif" alt="http://polaris.umuc.edu/~aau/stat200/week08/xbar.gif"> = 17.625
Issue
9
We are about to order the annual summer picnic Tshirts.
In the past, the mean employee weight is 210 lbs with an s =
67 lbs. Test H _{a} > 210 at 0.05 significance level
by combining the weights of departments 2, 3, and 4. If their mean weight
is greater than 210, we need to order all extra large Tshirts. Please
make a decision.
Use these data to answer
the nine issues cited above.
Use these data to answer the nine issues cited above.
The
Data
ID
#

Dept.

Ethnicity

Gender

Weight

Age

Salary
($)

Vacation
Hrs.

Absences

E.
Score

P.
Score

694

3

F

F

252

18

69,380

300

16

24

94

261

3

W

F

178

21

39,986

60

22

22

90

138

2

B

F

132

21

40,000

138

34

15

86

222

2

B

F

162

22

32,000

159

32

17

76

556

5

B

M

219

24

31,000

120

70

19

98

300

1

W

F

192

24

84,000

120

18

18

80

58

3

H

F

110

25

12,775

60

0

14

94

169

1

W

M

138

26

25,594

125

0

21

72

558

5

F

M

220

27

22,000

85

7

16

87

765

4

F

M

271

30

22,697

330

42

17

71

728

3

B

F

270

30

97,424

60

16

22

65

901

2

W

M

310

31

18,000

1292

40

15

71

611

5

W

F

229

31

98,000

85

15

13

84

264

1

H

F

189

31

67,089

125

81

20

70

128

2

B

M

127

31

48,000

444

10

15

91

118

1

W

M

126

31

37,328

85

61

25

84

101

2

A

F

124

32

66,000

336

47

21

96

605

3

H

F

226

34

27,082

60

24

10

76

945

5

W

F

399

35

14,000

120

15

8

75

721

4

H

M

255

35

31,466

64

9

18

80

852

1

F

M

288

37

51,243

85

40

1

72

207

3

A

F

159

37

54,101

300

49

15

79

811

5

W

M

287

38

35,000

325

43

10

86

508

5

F

M

217

38

17,000

300

45

7

77

927

4

W

M

315

41

40,718

212

15

15

97

17

4

F

F

97

41

83,331

534

28

11

88

421

5

H

M

212

42

11,000

60

78

1

92

327

2

W

F

204

43

214,000

317

90

23

74

507

4

W

M

215

44

43,847

58

0

12

80

204

3

H

M

151

46

80,712

150

34

12

80

325

3

B

F

198

47

86,274

150

17

17

82

206

1

W

F

155

47

15,544

85

85

18

94

333

2

H

M

210

48

26,400

384

0

19

79

727

4

W

M

262

51

15,155

156

0

19

81

496

2

B

F

214

51

15,400

155

39

11

77

233

4

A

M

174

53

29,050

151

0

25

76

971

1

F

M

407

56

43,761

120

21

23

85

301

4

W

M

195

59

73,582

564

110

23

97

877

1

A

M

290

66

12,484

85

28

16

87

906

5

B

F

314

73

91,000

325

12

22

73
