Question: Two different professors teach an introductory statistics class at a local college. The table below shows the distribution of final grades they reported. We wonder

Two different professors teach an introductory statistics class at a local college. The table below shows the distribution of final grades they reported. We wonder if one of the professors is an easier grader.

Professor Jones

Professor Smith

A

3

9

B

11

12

C

14

8

D

9

4

F

8

4

  • What is the correct type of test to use for this situation?

  • What are the conditions required to use this test? Have the conditions been satisfied? Explain.

  • State the null and alternative hypothesis.

  • What is the X^2 statistic and p-value for the test?

  • At the = .05 level, what conclusion can your draw about the two professors?

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