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 18.6 mg and a standard deviation of 3.62 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 unfiltered king size cigarettes. Assume that a simple random sample has been selected from a normally distributed population What are the hypotheses? A. Ho H 21.1 mg H H21.1 mg В. Но: 321.1 mg Hi H21.1 mg Ос. Но: и<21.1 mg H1 H 21.1 mg D. Ho: μ>21.1 mg H1 21.1 mg Identify the test statistic (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. A. Reject Ho. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. O B. Fail to reject Ho. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. O C. Reject Ho. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.

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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 18.6 mg and a
standard deviation of 3.62 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 unfiltered king size cigarettes.
Assume that a simple random sample has been selected from a normally distributed population
What are the hypotheses?
A. Ho H 21.1 mg
H H21.1 mg
В. Но: 321.1 mg
Hi H21.1 mg
Ос. Но: и<21.1 mg
H1 H 21.1 mg
D. Ho: μ>21.1 mg
H1 21.1 mg
Identify the test statistic
(Round to three decimal places as needed.)
Identify the P-value.
The P-value is
(Round to four decimal places as needed.)
State the final conclusion that addresses the original claim. Choose the correct answer below.
A. Reject Ho. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
O B. Fail to reject Ho. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
O C. Reject Ho. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
Transcribed Image Text: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 18.6 mg and a standard deviation of 3.62 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 unfiltered king size cigarettes. Assume that a simple random sample has been selected from a normally distributed population What are the hypotheses? A. Ho H 21.1 mg H H21.1 mg В. Но: 321.1 mg Hi H21.1 mg Ос. Но: и<21.1 mg H1 H 21.1 mg D. Ho: μ>21.1 mg H1 21.1 mg Identify the test statistic (Round to three decimal places as needed.) Identify the P-value. The P-value is (Round to four decimal places as needed.) State the final conclusion that addresses the original claim. Choose the correct answer below. A. Reject Ho. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. O B. Fail to reject Ho. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. O C. Reject Ho. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
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