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A cereal company claims that the mean weight of the cereal in its packets is at

ID: 3238182 • Letter: A

Question

A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Assuming that a hypotheses test to reject this claim has been conducted and that the conclusion is to reject the null hypotheses, state the conclusion in nontechnical terms. Be sure to address the original claim. A. There is no sufficient evidence to warrant rejection of the claim that the mean weight is less than 14 oz. B. There is sufficient evidence to warrant rejection of the claim that the mean weight is less than 14 oz. C. There is not sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz. There is sufficient evidence to warrant rejection of the claim that the mean weight is at least 14 oz.

Explanation / Answer

Claim:

Mean weight is at least 14.

Hypothesis test to reject the claim has been conducted.

H0: Population mean weight is at leat 14 (Claim is correct)

HA: Population mean weight is < 14 (Claim is not correct)

Conclusion:
Reject H0.

i.e., Population mean weight is < 14. The Claim is not correct.

So, in nontechnical terms, correct option is:

D. There is sufficient reason to warrent rejection of the claim that the mean weight is at least 14 oz.

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