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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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