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, critical value(s), 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 19.4 mg and a standard deviation of 3.45 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. What do the results suggest, if anything, about the effectiveness of the filters? hter What are the hypotheses? O A. Ho u= 21.1 mg H.µ<21.1 mg O B. Ho u=21.1 mg H,: 221.1 mg OC. Ho: H>21.1 mg H µ<21.1 mg O D. H,: p<21.1 mg H, u221.1 mg: Identify the test statistic. (Round to three decimal places as needed.) Identify the P-value. A w/ e (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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, critical value(s), 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 19.4 mg and a
standard deviation of 3.45 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. What do the results suggest, if anything, about the effectiveness of the filters?
***
taWhat are the hypotheses?
O A. Ho: u=21.1 mg
H,: µ< 21.1 mg
O B. H, u=21.1 mg
H, u221.1 mg
O C. H: H>21.1 mg
H µ<21.1 mg
O D. Ho H<21.1 mg
H, 221.1 mg
Identify the test statistic.
wwi t ti
Round to three decimal places as needed.
Identify the P-value.
১ .
(Round to four decimal places as needed.)
Transcribed Image Text: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, critical value(s), 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 19.4 mg and a standard deviation of 3.45 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. What do the results suggest, if anything, about the effectiveness of the filters? *** taWhat are the hypotheses? O A. Ho: u=21.1 mg H,: µ< 21.1 mg O B. H, u=21.1 mg H, u221.1 mg O C. H: H>21.1 mg H µ<21.1 mg O D. Ho H<21.1 mg H, 221.1 mg Identify the test statistic. wwi t ti Round to three decimal places as needed. Identify the P-value. ১ . (Round to four decimal places as needed.)
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