Assume that a simple random sample has been selected from anormally distributed population and test the given claim. A simplerandom sample of 25 filtered 100 mm cigarettes is​ obtained, andthe tar content of each cigarette is measured. The sample has amean of 20.2 mg and a standard deviation of 3.81 mg. Use a 0.05significance level to test the claim that the mean tar content offiltered 100 mm cigarettes is less than 21.1 mg, which is the meanfor unfiltered king size cigarettes.

What are the​ hypotheses?

A. H0​: μ>21.1 mg

H1​: μ<21.1 mg

B.H0​: μ=21.1 mg

H1​: μ<21.1 mg

C.H0​: μ<21.1 mg

   H1​: μ ≥ 21.1 mg

D. H0​: μ =21.1 mg

H1​: μ ≥ 21.1mg

Identify the test statistic.

t = _________

Identify the​ P-value.

The​ P-value is ___________

State the final conclusion that addresses the originalclaim. Choose the correct answer below.

A. Fail to reject H0. There is insufficient evidence to supportthe claim that the mean tar content of filtered 100 mm cigarettesis less than 21.1 mg.

B. Reject H0. There is insufficient evidence to support theclaim that the mean tar content of filtered 100 mm cigarettes isless than 21.1 mg.

C. Reject H0. There is sufficient evidence to support the claimthat the mean tar content of filtered 100 mm cigarettes is lessthan 21.1 mg.

D.Fail to reject H0. There is sufficient evidence to support theclaim that the mean tar content of filtered 100 mm cigarettes isless than 21.1 mg.

What do the results​ suggest, if​ anything, about theeffectiveness of the​ filters?

A.The results suggest that the filters are effective.

B.The results suggest that the filtered cigarettes have the sametar content as unfiltered king size cigarettes.

C.The results do not suggest that the filters are effective.

D.The results suggest that the filters increase the tarcontent.

E.The results are inconclusive because the sample size is lessthan 30.