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We want to examine what factors account for differences in salary in a university department by characteristics of the faculty member: the number of years

We want to examine what factors account for differences in salary in a university department by characteristics of the faculty member: the number of years since each faculty member received their Ph.D. (X1), the number of publications (X2), gender of the professor (1=F, 0=M), and number of citations in the scientific literature (X4).

Table 2: Salary Differentiation

Case

Time

Pubs

Cites

Salary

Gender

1

3

18

50

51876

1

2

6

3

26

54511

1

3

3

2

50

53425

1

4

8

17

34

61863

0

5

9

11

41

52926

1

6

6

6

37

47034

0

7

16

38

48

66432

0

8

10

48

56

61100

0

9

2

9

19

41934

0

10

5

22

29

47454

0

11

5

30

28

49832

1

12

6

21

31

47047

0

13

7

10

25

39115

1

14

11

27

40

59677

0

15

18

37

61

61458

0

16

6

8

32

54528

0

17

9

13

36

60327

1

18

7

6

69

56600

0

19

7

12

47

52542

1

20

3

29

29

50455

1

21

7

29

35

51647

1

22

5

7

35

62895

0

23

7

6

18

53740

0

24

13

69

90

75822

0

25

5

11

60

56596

0

26

8

9

30

55682

1

27

8

20

27

62091

1

28

7

41

35

42162

1

29

2

3

14

52646

1

30

13

27

56

74199

0

31

5

14

50

50729

0

32

3

23

25

70011

0

33

1

1

35

37939

0

34

3

7

1

39652

0

35

9

19

69

68987

0

36

3

11

69

55579

0

37

9

31

27

54671

0

38

3

9

50

57704

0

39

4

12

32

44045

1

40

10

32

33

51122

0

41

1

26

45

47082

0

42

11

12

54

60009

0

43

5

9

47

58632

0

44

1

6

29

38340

0

45

21

39

69

71219

0

46

7

16

47

53712

1

47

5

12

43

54782

1

48

16

50

55

83503

0

49

5

18

33

47212

0

50

4

16

28

52840

1

51

5

5

42

53650

0

52

11

20

24

50931

0

53

16

50

31

66784

1

54

3

6

27

49751

1

55

4

19

83

74343

1

56

4

11

49

57710

1

57

5

13

14

52676

0

58

6

3

36

41195

1

59

4

8

34

45662

1

60

8

11

70

47606

1

61

3

25

27

44301

1

62

4

4

28

58582

1

After analyzing Table 2, answer the following questions:

  1. What number is in the denominator of the t-test that is testing the significance of the variance uniquely accounted for by number of publications?
  2. What number is in the denominator of the t-test that is testing the significance of the variance uniquely accounted for by number of citations?
  3. What number is in the denominator of the t-test that is testing the significance of the variance uniquely accounted for by years since the Ph.D.?
  4. What number is in the denominator of the t-test that is testing the significance of the variance uniquely accounted for by gender?

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