Grades 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 a) Will you test goodness of fit, homogeneity, or independence b) Write appropriate hypotheses c) Find the expected counts for each cell, and explain why the chi square procedures are not appropriate Prof Alpha Prof Beta 3 A 9 BCDF 11 12 14 8 9 2 3 1

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Question: Grades Two different professors teach an introductory Statistics course. The table shows the distribution of final grades they reported. We wonder whether one of these

Grades 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 3 A 9 BCDF 11 12 14 8

a) Will you test goodness-of-fit, homogeneity, or independence?

b) Write appropriate hypotheses.

c) Find the expected counts for each cell, and explain why the chi-square procedures are not appropriate.

Prof. Alpha Prof. Beta 3 A 9 BCDF 11 12 14 8 9 2 3 1

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