Refer to the accompanying data table, which shows the amounts of nicotine (mg per cigarette) in king-size cigarettes, 100-mm menthol cigarettes, and 100-mm nonmenthol cigarettes. The king-size cigarettes are nonfiltered, while the 100-mm menthol cigarettes and the 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the king-size cigarettes are not filtered, do the filters appear to make a difference? E Click the icon to view the data table of the nicotine amounts. Determine the null and alternative hypotheses. Họ: H,: Find the F test statistic. F= (Round to four decimal places as needed.) Find the P-value using the F test statistic. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. O B. Reject Hn. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount of nicotine. O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount f nicotine. O D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the three categories of cigarettes yield the same mean amount nicotine. Do the filters appear to make a difference? O A. Given that the king-size cigarettes have the largest mean, it appears that the filters do make a difference (although this conclusion is not justified by the results from analysis of variance). O B. No, the filters do not appear to make a difference because there is sufficient evidence to warrant rejection of the claim. O C. The results are inconclusive because the king-size cigarettes are a different size than the filtered cigarettes. O D. No, the filters do not appear to make difference because there is insufficient evidence to warrant rejection of the claim.

A grassroots group opposed to a proposed increase in the gas tax claimed that the increase would hurt working-class people the most, since they commute the farthest to work. Suppose that the group randomly surveyed 24 individuals and asked them their daily one-way commuting mileage. The results are below. Using a 5% significance level, test the hypothesis that the three mean commuting mileages are the same. (Let 1 = Working-class, 2 = Professional (middle incomes), and 3 = Professional (wealthy).) Part (a) Part (b) Part (c) Part (d) Part (e) Part (f) Working-class 18.1 27.5 49.7 10.1 65.8 47.2 20.1 51.8 Professional (middle incomes) 17.0 17.5 22.7 7.6 10.2 2.9 7.3 14.5 What is the test statistic? (Round your answer to two decimal places.) Part (g) What is the p-value? (Round your answer to four decimal places.) Professional (wealthy) 9.1 7.2 4.9 12.8 11.6 29.0 16.3 9.5

A software company is interested in improving customer satisfaction rate from the 61% currently claimed. The company sponsored a survey of 196 customers and found that 129 customers were satisfied. What is the test statistic z?

Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result. Click here to view the sample analyses. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let sample 1 be the X-ray fluorescence results and let sample 2 be the laboratory chemical results. State the null and alternative hypotheses. Ho: HD H1: HD + Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) O A. t> В. t O C. t<