Question

Based on a study, the average elapsed time between when a user navigates to a website on a mobile device until its main content is available was 14.6 seconds. This is more than a 20% increase from the previous year. Responsiveness is certainly an important feature of any website and is perhaps even more important on a mobile device. What other web design factors need to be considered for a mobile device to make it more user friendly? Among other things, navigation menu placement and amount of text entry required are important on a mobile device. Suppose the following data provide the time (in seconds) it took randomly selected students (two for each factor combination) to perform a prespecified task with the different combinations of navigation menu placement and amount of text entry required.

		Amount of Text Entry Required
		Low	High
Navigation Menu Position	Right	8	14
		10	8
	Middle	20	36
		16	18
	Left	12	16
		18	16

Use the ANOVA procedure for factorial designs to test for any significant effects resulting from navigation menu position and amount of text entry required. Use

α = 0.05.

(Let factor A be navigation menu position, and let factor B be amount of text entry required.)

Find the value of the test statistic for factor A. (Round your answer to two decimal places.)

Find the p-value for factor A. (Round your answer to three decimal places.)

p-value =

State your conclusion about factor A.

Because the p-value ≤ α = 0.05, factor A is not significant.Because the p-value > α = 0.05, factor A is significant.    Because the p-value ≤ α = 0.05, factor A is significant.Because the p-value > α = 0.05, factor A is not significant.

Find the value of the test statistic for factor B. (Round your answer to two decimal places.)

Find the p-value for factor B. (Round your answer to three decimal places.)

p-value =

State your conclusion about factor B.

Because the p-value ≤ α = 0.05, factor B is not significant.Because the p-value > α = 0.05, factor B is significant.    Because the p-value > α = 0.05, factor B is not significant.Because the p-value ≤ α = 0.05, factor B is significant.

Find the value of the test statistic for the interaction between factors A and B. (Round your answer to two decimal places.)

Find the p-value for the interaction between factors A and B. (Round your answer to three decimal places.)

p-value =

State your conclusion about the interaction between factors A and B.

Because the p-value ≤ α = 0.05, the interaction between factors A and B is not significant.Because the p-value > α = 0.05, the interaction between factors A and B is not significant.    Because the p-value > α = 0.05, the interaction between factors A and B is significant.Because the p-value ≤ α = 0.05, the interaction between factors A and B is significant.

Answer 1

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