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Do upload speeds vary between cities and Internet service providers? The accompanying table contains the upload speeds in Mbps in 38 different cities for
Do upload speeds vary between cities and Internet service providers? The accompanying table contains the upload speeds in Mbps in 38 different cities for two Internet service providers, T-Mobile and Verizon, as measured in November 2017. Complete parts (a) through (d). Click the icon to view the data table. a. At the 0.05 level of significance, is there evidence of a difference in the mean upload speed between T-Mobile and Verizon? Let be the mean of the population of differences T-Mobile upload speed minus Verizon upload speed. What are the null and alternative hypotheses? OA. Ho HD 20 and H: HD 0 The test statistic is STAT = (Type an integer or a decimal. Round to two decimal places as needed.) The p-value is (Type an integer or a decimal. Round to three decimal places as needed.) Since the p-value is the level of significance, the null hypothesis. There is evidence to conclude there is a difference in the mean upload speed. b. What assumption is necessary in order to perform this test? A. It is assumed that the distributions of the populations are approximately normal. OB. It is assumed that the samples are paired. C. It is assumed that the distribution of the differences is approximately normal. D. It is assumed that the distribution of the differences is approximately uniform. c. Use a graphical method to evaluate the validity of the assumption in (a). Construct a boxplot of the differences. Choose the correct graph below. A. . HH -30 30 Difference HH -30 0 Difference 30 Q Does the assumption needed in order to conduct the t test in (a) appear to be valid? because the boxplot indicates the distribution of the differences is C. Q HHS D. HH Q -30 0 30 -30 Difference 0 Difference 30 d. Construct and interpret a 95% confidence interval estimate of the difference in the mean upload speed between T-Mobile and Verizon. SHO (Type integers or decimals. Round to two decimal places as needed.) Interpret this interval. With 95% confidence, the interval contains the the upload speeds for T-Mobile and Verizon.
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