9.4 In a study of reaction time under the influence of alcohol, age is thought to be another factor that could affect the time. Test subjects (individuals) were classified into three age groups: 20-39, 40-59, 60 and over. In each age group each treatment (0 oz., 1 oz., 2 oz.) was randomly assigned to 4 individuals. The following results were obtained (the reaction time is measured in seconds):

(i) What kind of experimental design has been used? (ii) Give the appropriate ANOVA table. (iii) Investigate whether the differences in reaction time for the different amounts of alcohol depend on the age group. (iv) Is there a difference in reaction time for 1 oz. and 2 oz.? Does it make sense to consider this question?

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Amount of Alcohol Age 0 oz. 1 oz. 2 oz. 20-39 .42 .49 .65 .45 .47 .60 .39 .46 .70 .40 .51 .66 40-59 .51 .70 1.05 .55 .69 1.10 .53 .73 .98 .50 .75 1.12 60 and Over .60 .85 1.25 .59 .79 1.20 .58 .88 1.30 .61 .90 1.27