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 examined. The following ANOVA table with = 0.01 is produced of the total bill left as a tip for 10 wait staff is ANOVA Source of Variation Sample Columns Interaction Within p-value F crit 16.02882 0.00019 7.129 2.15021 0.12633 5.021 95839 0.38994 5.021 MS df 1 0.04223 0.04223 0.01133 20.00567 0.00505 0.14227 540.00263 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 greater than b-1. Are you able to conduct tests based on the main effects? Yes, since the interaction between the two factors is 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.) 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

Explanation / Answer

from above p value is higher then aplha therefore test become insignificant for interaction between effects. therefore

a) No since the p value associated with interaction is greater then alpha.

b-1) No since the interaction between the two factors is insignificant,

b-2)as p value is significant for sample and insignificant by columns

therefore correct option are:

we can not conclude the mean tips differ by age

we can conclude the mean tips differ by gender.

please revert for any clarification required,

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