Two different professors teach an introductory Statistics course. The table shows the distribution of final grades they reported. We wonder whether one of these professors is an easier grader.
|
|
Prof. Alpha
|
Prof. Beta
|
|
A
|
3
|
9
|
|
B
|
11
|
12
|
|
C
|
14
|
8
|
|
D
|
9
|
2
|
|
F
|
3
|
1
|
a) Will you test goodness-of-fit, homogeneity, or independence?
b) Write appropriate null hypotheses.
c) Find the expected counts for each cell, and explain why the chi-square procedures are not appropriate for this table.