The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standarddeviation of 3.8 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 areequal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below.Click the icon to view the data.a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette filters?Identify the null and alternative hypotheses.O B. Ho: H1 =H2O C. Ho: H1 #H2H1: H1 =H2O A. Ho: H1 = H2H:H1 H2O F. Ho: H1 = H2H1:H1 H2H:H1=H2Hq: H1 =H2The 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.the null hypothesis. Theresufficient 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 arein 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 haveless tar than unfiltered king-size cigarettes?The 90% confidence interval estimate is O A. Ho: H1=H2O B. Ho: H1 =H2O C. Ho: H1 #H2Hq: Hq H2OF. Ho: H1=H2Hi:H1=H2H1: H1 = H2The 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.the null hypothesis. Theresufficient 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 arein 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 haveless tar than unfiltered king-size cigarettes?The 90% confidence interval estimate is(Round to one decimal place as needed.)The resultthat 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes, since the confidence interval0.Click to select your answer(s).MacBook Pro888esc#3$44.Y.tabFGKckVaitaltoptioncommandMOSISOcommandoptionPM.* 00

Name: The mean tar content of a simple random sample of 25 unfiltered king-
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standarddeviation o

Question

The mean tar content of a simple random sample of 25 unfiltered king-size cigarettes is 21.4 mg, with a standard deviation of 3 mg. The mean tar content of a simple random sample of 25 filtered 100-mm cigarettes is 13.0 mg with a standarddeviation of 3.8 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 areequal. Let population 1 be unfiltered king-size cigarettes. Complete parts (a) through (c) below.Click the icon to view the data.a. Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have a mean tar content greater than that of filtered 100-mm cigarettes. What does the result suggest about the effectiveness of cigarette filters?Identify the null and alternative hypotheses.O B. Ho: H1 =H2O C. Ho: H1 #H2H1: H1 =H2O A. Ho: H1 = H2H:H1 H2O F. Ho: H1 = H2H1:H1> H2H:H1=H2Hq: H1 =H2The 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.the null hypothesis. Theresufficient 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 arein 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 haveless tar than unfiltered king-size cigarettes?The 90% confidence interval estimate is O A. Ho: H1=H2O B. Ho: H1 =H2O C. Ho: H1 #H2Hq: Hq  H2OF. Ho: H1=H2Hi:H1=H2H1: H1 = H2The 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.the null hypothesis. Theresufficient 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 arein 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 haveless tar than unfiltered king-size cigarettes?The 90% confidence interval estimate is(Round to one decimal place as needed.)The resultthat 100-mm filtered cigarettes have less tar than unfiltered king-size cigarettes, since the confidence interval0.Click to select your answer(s).MacBook Pro888esc#3$44.Y.tabFGKckVaitaltoptioncommandMOSISOcommandoptionPM.* 00

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Sample Mean 1 (Xˉ1)(\bar X_1) =
Unfiltered King…