Consider the following to answer the question(s):
An advocacy group is interested in determining if gender (1 = Female, 2 = Male) affects executive level salaries. They take a random sample of executives in three different industries: (1 = Consumer Goods, 2 = Financial, 3 = Health Care). Salary data are collected. The two-way ANOVA results appear below.
-At α = 0.05, we can conclude
A) that mean executive salaries are the same across the three different industry sectors
B) that mean executive salaries are the same for males and females
C) that there is a significant interaction effect
D) that mean executive salaries are not the same across the three different industry sectors and that mean executive salaries are not the same for males and females
E) that mean executive salaries are the same across the three different industry sectors, are the same for males and females and that there is a significant interaction effect

Question

Consider the following to answer the question(s):
An advocacy group is interested in determining if gender (1 = Female, 2 = Male) affects executive level salaries. They take a random sample of executives in three different industries: (1 = Consumer Goods, 2 = Financial, 3 = Health Care). Salary data are collected. The two-way ANOVA results appear below. 
-At α = 0.05, we can conclude
A) that mean executive salaries are the same across the three different industry sectors 
B) that mean executive salaries are the same for males and females 
C) that there is a significant interaction effect 
D) that mean executive salaries are not the same across the three different industry sectors and that mean executive salaries are not the same for males and females 
E) that mean executive salaries are the same across the three different industry sectors, are the same for males and females and that there is a significant interaction effect

Quizplus · Accepted Answer

The two-way ANOVA results indicate that there is a significant main effect of industry sector and gender, but not a significant interaction effect. Therefore, we can conclude that mean executive salaries are not the same across the three different industry sectors and mean executive salaries are not the same for males and females, but we cannot conclude that the effect of gender on salaries depends on industry sector. The null hypothesis for both main effects is rejected at α = 0.05, indicating that there is evidence to suggest that there are significant differences in executive salaries based on both industry sector and gender.

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