A management consultant wants to determine whether the age and gender of a resta

Question

A management consultant wants to determine whether the age and gender 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 gender (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 following ANOVA table with = 0.01 is produced ANOVA Source of Variation Sample Columns Interaction Within df MS 0.042230.04223 0.01133 2 0.00567 0.00505 0.14227 540.00263 p-value F crit 16.02882 0.00019 7.129 2.15021 0.12633 5.021 958390.38994 5.021 2 0.00253 Total 0.20088 59 a. Can you conclude that there is interaction between age and gender at the 1% significance level? Yes, since the p-value associated with interaction is less than Yes, since the p-value associated with interaction is greater than No, since the p-value associated with interaction less than No, since the p-value associated with interaction greater than b-1. Are you able to conduct tests based on the main effects? Yes, since the interaction between the two factors is not significant. Yes, since the interaction between the two factors is significant. No, the interaction between the two factors is not significant No, the interaction between the two factors is significant

Explanation / Answer

a) No , since the p value associated with interatucion greater than alfa

b-1) yes , since the interaction between the two factors is not significant.

b-2) we can't conclude the mean tips differ by age

We can conclude the mean tips differ by gender.

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