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The data in the table were collected from randomly selected flights at airports in three cities and indicate the number of minutes that each plane was behind schedule at its departure. City 1 City 2 City 3 39 35 a. Perform a one-way ANOVA using a = 0.05 to determine if there is a difference in the 26 13 average lateness of flights from these three airports. 20 16 11 b. Perform a multiple comparison test to determine which pairs are different using a = 0.05. N; 5 24 Click the icon to view a studentized range table for a = 0.05. 42 11 27 a. What are the correct hypotheses for the one-way ANOVA test? OA. Ho: H1 = H2 = H3 OB. Ho: H1 = H2 = H3 Hy: Not all the means are equal. Hy: My # H2 # H3 OC. Ho: Hy # H2# H3 O D. Ho: Not all the means are equal. Hy: H1 = H2 = H3 H1: Hy = H2 = H3 Complete the ANOVA summary table below. Sum of Degrees of Mean Sum of Source Squares Freedom Squares F Between Within Total (Round to three decimal places as needed.) Determine the p-value for this test. p-value = (Round to three decimal places as needed.) State the conclusion for a = 0.05. Since the p-value is (1) than the level of significance, (2) the null hypothesis and conclude that the average lateness of flights (3) different for these airports. b. Let X1, X2, and X3 be the means for samples 1, 2, and 3, respectively. Find the absolute values of the differences between the means. ( X 1 - X2/ = 1 X1 - X3/ = , and x2 - x3 | = Find the Tukey-Kramer critical range CR. Note that since the samples are all the same size, CR, 2 = CR,,3 = CR2,3 = CR. CR= (Round to two decimal places as needed.)