The mean consumption of fruit three years ago was 98.7 pounds. A dietician belie

Question

The mean consumption of fruit three years ago was 98.7 pounds. A dietician believes that fruit consumption has risen since then. (a) Determine the null and alternative hypotheses. Which of the following is correct? A. H_0: mu = 98.7: H_1: mu notequalto 98.7 B. H_0: mu = 98.7: H_1: mu 98.7 (b) 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? A. There is not sufficient evidence to conclude that the mean consumption of fruit has risen. B. There is sufficient evidence to conclude that the mean consumption of fruit has risen. C. There is sufficient evidence to conclude that the mean consumption of fruit has stayed the same. D. There is not sufficient evidence to conclude that the mean consumption of fruit has stayed the same. (c) Suppose, in fact, the mean consumption of fruits is 98.7 pounds. Did the researcher commit a type I or type II error? A. The researcher committed a type I error because he rejected the null hypothesis when it was true. B. The researcher committed a type II error because he rejected the null hypothesis when it was true. C. The researcher committed a type II error because he accepted the alternative hypothesis when the null hypothesis was true. D. The researcher committed a type I error because he accepted the alternative hypothesis when the null hypothesis was true. If we tested this hypothesis at the alpha = 0.02 level of significance, what is the probability of committing this error?

Explanation / Answer

a]

Option C is correct answer. Because the mean consumpton of fruit before 3 years is 98.7 pounds and claim that the consumption is risen. that means greater than the 98.7 pounds.

b]

Option B is correct

If null rejected then alternative is accepted so there is sufficient evidence that the mean consumption of fruit has risen

c]

Suppose mean consumption of fruit is 98.7 pounds then

The researcher committed the type 1 error because he rejected the null hypothesis when it is true.

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