Assume mat a simple random sample has been selected from a normally distributed
ID: 3200602 • Letter: A
Question
Assume mat a simple random sample has been selected from a normally distributed population and test the given claim. Identity the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.0 mg and a standard deviation of 3.49 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unaltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters? State the final conclusion that addresses the original claim. Choose the correct answer below. A. Fail to reject H_0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. B. Reject H_0. There is insufficient evidence to support the claim that the mean tar content of filtered 10D mm cigarettes is less than 21.1 mg. C. Reject H_0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. D. Fail to reject H_0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. What do the results suggest, if anything, about the effectiveness of the filters? A. The results suggest that the filters increase the tar content. B. The results do not suggest that the filters are effective. C. The results suggest that the filtered cigarettes have the same tar content as unfiltered king size cigarettes D. The results are inconclusive because the sample size is less than 30. E. The results suggest that the filters are effective.Explanation / Answer
Answer:-
1) Option C. Reject H0.there is sufficient evidence to support the claim that the mean tar content of filtered 100mm cigarettes is less than 21.1 mg.
2) Option E. The results suggest that the filters are effective.
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