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AP Statistics / Mr. Hansen |
Name: _________________________ |
Quiz
on Chapter 10 and Recent Class Discussions
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[page 1 omitted for now] |
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7. |
Mel, who has many tall
female friends, believes based on his anecdotal experience that the estimate of
65 inches given in problem 5 is too low. State Mel’s null and alternative
hypotheses for the true mean height of American women: |
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(a) |
H0: ______________________________ |
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(b) |
Ha:
______________________________ |
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(c) |
Mel will gather his own large
random sample of women and will measure their heights. He will reject H0 if the p value of his test is below .05.
Explain in plain English what a Type I error by Mel would be. |
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(d) |
State the probability that Mel
makes a Type I error (no work needed). |
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(e) |
Explain in plain English
what a Type II error by Mel would be. |
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(f) |
Explain in plain English
why it is not possible to compute P(Type II error) unless Mel tells you a specific alternative sampling
distribution that he has in mind. |
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(g) |
Two specific alternatives
Mel is considering are m = 66 and m = 67 inches. Against which of these alternatives does Mel’s procedure
have greater power? Explain briefly. |
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