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The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.3 mg, with a standard deviation of 4 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.1 mg with a standard deviation of 3.7 mg The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. E Click the icon to view the data. O A. Ho PP2 OB. Ho H>P2 OC. Ho H =H2 H =P2 O D. Ho

The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.3 mg, with a standard deviation of 4 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.1 mg with a standard deviation of 3.7 mg The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. E Click the icon to view the data. O A. Ho PP2 OB. Ho H>P2 OC. Ho H =H2 H =P2 O D. Ho

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.3 mg, with a standard deviation of 4 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.1 mg with a standard deviation of 3.7 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. E Click the icon to view the data. O A. Ho: H1H2 H1: H1 = H2 O B. Ho: H1 > H2 H: H1 = H2 O C. Ho: H1 =H2 H,: H1 > H2 O D. Ho: H1 < H2 H1: 41= H2 O E. Ho: H1 =H2 H1: H1 <H2 O F. Ho: H1 =H2 H1: H1 # H2 The test statistic is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. v the null hypothesis. There sufficient evidence to support the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. This suggests that cigarette filters are in reducing tar. b. Construct a 90% confidence interval estimate of the difference between the mean tar content of unfiltered king-size cigarettes and the mean tar content of filtered 100-mm cigarettes. Does the result suggest that 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes? The 90% confidence interval estimate is<µ1 - P2 <|: (Round to one decimal place as needed.)
Transcribed Image Text:The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.3 mg, with a standard deviation of 4 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.1 mg with a standard deviation of 3.7 mg. The accompanying table shows the data. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below. E Click the icon to view the data. O A. Ho: H1H2 H1: H1 = H2 O B. Ho: H1 > H2 H: H1 = H2 O C. Ho: H1 =H2 H,: H1 > H2 O D. Ho: H1 < H2 H1: 41= H2 O E. Ho: H1 =H2 H1: H1 <H2 O F. Ho: H1 =H2 H1: H1 # H2 The test statistic is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. v the null hypothesis. There sufficient evidence to support the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. This suggests that cigarette filters are in reducing tar. b. Construct a 90% confidence interval estimate of the difference between the mean tar content of unfiltered king-size cigarettes and the mean tar content of filtered 100-mm cigarettes. Does the result suggest that 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes? The 90% confidence interval estimate is<µ1 - P2 <|: (Round to one decimal place as needed.)
KING TAR 100 TAR 19 5 28 15 27 16 22 13 21 13 26 13 20 16 22 14 18 16 22 8 18 12 21 12 20 12 18 14 18 2 9 16 24 16 22 14 21 14 24 14 25 15 20 15 24 8 21 18 22 16
Transcribed Image Text:KING TAR 100 TAR 19 5 28 15 27 16 22 13 21 13 26 13 20 16 22 14 18 16 22 8 18 12 21 12 20 12 18 14 18 2 9 16 24 16 22 14 21 14 24 14 25 15 20 15 24 8 21 18 22 16
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