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The following table is a summary of randomly chosen student evaluations of facul

ID: 3434202 • Letter: T

Question

The following table is a summary of randomly chosen student evaluations of faculty at a university over a three-year period.  The researcher is interested in whether the distribution of evaluations differs by faculty rank.

Rank

Evaluation

Assistant Professor

Associate Professor

Professor

Total

Above Average

44

36

34

114

Below Average

31

29

51

111

Total

75

65

85

225

If faculty rank and evaluation are independent, how many assistant professors would have been expected to receive above average evaluations?

a.

45.333

b.

38.667

c.

38

d.

39.667

e.

75

Rank

Evaluation

Assistant Professor

Associate Professor

Professor

Total

Above Average

44

36

34

114

Below Average

31

29

51

111

Total

75

65

85

225

Explanation / Answer

The following table is a summary of randomly chosen student evaluations of faculty at a university over a three-year period.  The researcher is interested in whether the distribution of evaluations differs by faculty rank.

Rank

Evaluation

Assistant Professor

Associate Professor

Professor

Total

Above Average

44

36

34

114

Below Average

31

29

51

111

Total

75

65

85

225

If faculty rank and evaluation are independent, how many assistant professors would have been expected to receive above average evaluations?

a.

45.333

b.

38.667

c.

38

d.

39.667

e.

75

Expected value = (row total*column total) / grand total   = ( 114*75)/225 =38

Answer C 38

Rank

Evaluation

Assistant Professor

Associate Professor

Professor

Total

Above Average

44

36

34

114

Below Average

31

29

51

111

Total

75

65

85

225

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