Question

The Department of Transportation has hired you to help with a study looking at how driving speeds in Alaska are related to two factors: A) the type of vehicle ­, and B) the sex of the driver. Below is a table summarizing the mean driving speeds (in miles per hour) as a function of the Type of Vehicle and the Sex of Driver based on 100 drivers in each condition (this means the data is based on a total of 600 drivers).

		Type of Vehicle
		Car	SUV	Pick-up
Sex of Driver	Male	65	75	65
	Female	65	65	75

Please specify and describe the various hypotheses that need to be tested when analyzing the above data with a 2-way ANOVA (6pts).

While the actual outcome of the two-way ANOVA needs to be determined by statistical analysis that is dependent on variability (SSs) within each group, please perform an eye-ball analysis based on the pattern of the cell means, and THEN provide a short summary of the likely outcome of your analysis by describing the decision on each of the hypotheses (the ones you specified in the above) that need to be tested (8pts).

Answer 1

ANOVA Two way vehicle. Hoi There is HO: There is no difference in sex. Hai There is difference in sex. no difference in Type of Ha :: There is difference in type of vehicle. Ho : There is no interaction. Ha : There is an interaction. 2) ISUV Imale Female Car 65 65 65 75 65 70 Pick-up 65 168.3333 75 68.3333 70 are same. Mohameneis not vignificant main effect of sex, as as as marginal Thore wis significant main effect of type of vehicle, means are different Thou is significant interaction as lines are not parallel