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 the P-value for the interaction effect = 0.390 0.05. Thus, it is not appropriate to interpret the main effects separately.

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 the P-value for the interaction effect = 0.390 > 0.05. Thus, it is not appropriate to interpret the main effects separately.

Quizplus · Accepted Answer

The ANOVA results show a significant main effect of industry sector and gender, both with p-values less than 0.05. Therefore, we reject the null hypothesis that mean executive salaries are the same across industry sectors and the null hypothesis that mean executive salaries are the same for males and females. There is no significant interaction effect as the p-value for the interaction effect is greater than 0.05. This means that we can interpret the main effects separately.

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