City City 1 City 2 City 3 City 4 City 5 City 6 City 7 City a City 9 City 10 City 11 City 12 City 13 City 14 City 15 City 16 City 17 City 13 City 19 City 20 City 21 City 22 City 23 Company X 62.92 63.33 63.76 61.92 68.15 62.16 66.56 63.12 68.81 62.7 65.09 75.02 66.51 63.79 67.43 67.26 64.31 64.83 58.05 64 67.17 70.12 67.43 Company Y E! 72.73 70.06 66.05 71.33 72.78 70.44 72.59 73.71 74.84 70.38 72.56 69.38 69.45 69.66 68.5 74 71.12 72.6 70.26 68.19 72.71 71.75 69.98 Does network performance vary between providers? The accompanying data table provides the download speed (in Mbps) on wireless connections of Company X and Company Y in 23 cities. Complete parts (a) through (d). @ Click the icon to view the data table. E a. At the 0.01 level of significance, is there evidence of a difference in the mean download speed between Company X and Company Y? Let M be the population mean download speed of Company X and let p2 be the mean download speed of Company Y. State the null and alternative hypotheses. Choose the correct answer below. {I} A. H0: p0 = 0 (where \"D = [.11 pz) 1:} B. H0: PD =0 (where \"D = [.11 p2) H1zpDO The test statistic is (Round to two decima places as needed.) The pvalue is . (Round to three decimal places as needed.) Since the p-value is V the value of a, V There is V evidence of a difference in the mean download speeds between Company X and Company Y. b. What assumption about the download speeds is necessary to perform this test? A. It must be assumed that the distribution of the differences between the measurements is skewed. \"I? B. It must be assumed that the distribution of the differences between the measurements is approximately uniform. c. Use a graphical method to evaluate the assumption made in (a). Construct a boxplot of the differences. Choose the correct graph below. O A. O B. O c. OD. TITT TTTTTT TITTIT -13.21 6.64 -13.21 6.64 -13.21 6.64 -13.21 6.64 Paired Difference Paired Difference Paired Difference Paired Difference Does the assumption needed in order to conduct the t test in (a) appear to be valid? A. Yes, because the boxplot does not indicate severe departure from normality. O B. No, because the boxplot does not indicate severe departure from normality. O C. Yes, because the boxplot shows that the data are significantly skewed. O D. No, because the boxplot shows that the data are significantly skewed. d. Construct and interpret a 99% confidence interval estimate of the difference in the mean download speed between Company X and Company Y. SHD S (Round to two decimal places as needed.)