1. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify 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 100mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.4mg and a standard deviation of 3.37mg. Use a 0.5 significance level to test the claim that the mean tar content of filtered 100mm cigarettes is less than 21.1 mg, which is the mean for the unfiltered king size cigarettes.

What is the hypotheses? (A,B,C, or D)

1. a)H₀:.1gH₁:>21.1mgb)H₀:.1gH₁:<21.1mgc)H₀:>21.1gH₁:<21.1mgd)H₀:<21.1gH₁:>21.1mg
2. Identifythetstatistict=(Roundto3decimalsasneeded)

P-value is (Round to 4 decimals).

State the final conclusion that addresses the original claim. Choose the correct answer below. (A,B,C, or D)

1. a) Reject H_0. There is insufficient evidence to support the claim that the mean tar content of filtered 100mm cigarettes is less 21.1 mg.
2. b) Fail to reject H_0. There is sufficient evidence to support the claim that the mean tar content of filtered 100mm cigarettes is less 21.1 mg.
3. c) Fail to reject H_0. There is insufficient evidence to support the claim that the mean tar content of filtered 100mm cigarettes is less 21.1 mg.

1. d) Reject H_0. There is sufficient evidence to support the claim that the mean tar content of filtered 100mm cigarettes is less 21.1 mg.

What do the results suggest, if anything, about the effectiveness of the filters? (A,B,C,D, or E).

1. a) The results suggest that the filtered cigarettes have the same tar content as unfiltered king size cigarettes
2. b) The results do not suggest that the filters are effective
3. c) The results do suggest that the filters are effective
4. d) The results suggest that the filters increase the tar content

e) The results are inconclusive