Homework SourseThe following table is a summary of randomly chosen student
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 |
Solution
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 |
