The mean consumption of fruit three years ago was 975 pounds

The mean consumption of fruit three years ago was 97.5 pounds. A dietician believes that fruit consumption has fallen since then. Determine the null and alternative hypotheses. Which of the following is correct? Suppose sample data indicate that the null hypothesis should be rejected. State the conclusion of the researcher. Which of the following is the conclusion that could be reached? Suppose, in fact, the mean consumption of fruits is 97.5 pounds. Did the researcher commit a type I or type II error? If we tested this hypothesis at the alpha = 0.02 level of significance, what is the probability of committing this error?

Solution

a)

The claim is that the mean has fallen, so, it is OPTION C. [ANSWER, C]

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b)

We then conclude according to H1.

Thus, it is OPTION A. [ANSWER]

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c)

A type I error is incorrectly rejecting a true null hypothesis.

Thus, it is OPTION A. [ANSWER, A]

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d)

P(Type I) = alpha = 0.02 [ANSWER]