4 A management consultant wants to determine whether the age and sex of a restaurant's wait staff influence the size of the tip the customer leaves. Three age brackets (factor A in columns: young, middle-age, older) and sex (factor B in rows: male, female) are used to construct a two-way ANOVA experiment with interaction. For each combination, the percentage of the total bill left as a tip for 10 wait staff is examined. The consultant assumes that the percentages are normally distributed and produces the following ANOVA table 1.67/10 ANOVA points awarded SS Scored Source of Variation df MS p-value Sample 0 . 04345 0 . 04345 17.308 0.000 Columns 0 . 01881 0 . 00941 3. 748 0. 030 Interaction 0 . 00569 0 . 00285 1. 135 0. 329 Within 0. 13556 54 0 . 00251 Total 0. 20351 59 a. Can you conclude that there is interaction between age and sex at the 1% significance level? NoPicture since the p-value associated with interaction is less than significance level. Yes Picture since the p-value associated with interaction is greater than significance level. Yes Picture since the p-value associated with interaction is less than significance level. No Picture since the p-value associated with interaction is greater than significance level. b-1. Are you able to conduct tests based on the main effects? Yes Picture since the interaction between the two factors is not significant. YesPicture since the interaction between the two factors is significant. NoPicture the interaction between the two factors is significant. O NoPicture the interaction between the two factors is not significant. b-2. If yes, conduct these tests at the 1% significance level. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) We can conclude the mean tips differ by age. We cannot conclude the mean tips differ by age. ? We can conclude the mean tips differ by gender. ? We cannot conclude the mean tips differ by gender