Question

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 15 18 14 19 26 21 32 20 45 47 20 39 35 a. Perform a one-way ANOVA using ?= 0.05 to determine if there is a difference in the average lateness of flights from these three airports b. Perform a multiple comparison test to determine which pairs are different using ?: 0.05 Click the icon to view a studentized range table for u-005 a. What are the correct hypotheses for the one-way ANOVA test? H: Not all the means are equal. O D. H: Not all the means are equal Complete the ANOVA summary table belovw Sum of Degrees of Mean Sum uares Freedom of Squares F Source Between Within Total Round to three decimal places as needed.) Determine the p-value for this test p-value =L (Round to three decimal places as needed.) State the conclusion for ?= 0.05 Since the p-value is ?than the level of significance I the null hypothesis and conclude that the average lateness of flights | different for these airports b. Let xt, x2, and x be the means for samples 1, 2, and 3, respectively. Find the absolute values of the differences between the means Find the Tukey-Kramer critical range CR. Note that since the samples are all the same size, CR1,2 CR1,3 CR2,3 CRCR = ?

Conclude that the means for ? are different ?

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Answer #1

P-value for this test = 0.004

Since P-value is less than the level of significance, we reject the null hypothesis and conclude that the average lateness of flights are different for these airports.

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