Consider the following to answer the question(s) below:
A national car rental company recently conducted a study in which cars with automatic and standard transmissions were rented to male and female customers. Three customers in each category were randomly selected and the miles driven per day was recorded as follows:

-Given the following output, which of the following statements is true at α = 0.05?
A) Since the interaction effect of gender and transmission type on miles driven is not significant, it is appropriate to interpret the main effects due to gender and transmission type separately.
B) We reject the hypothesis that gender affects miles driven per day.
C) Since the interaction effect of gender and transmission type on miles driven is significant, it is not appropriate to interpret the main effects due to gender and transmission type separately.
D) We reject the hypothesis that transmission type influences miles driven per day.
E) Both gender and transmission influence the number of miles drive per day.

Question

Consider the following to answer the question(s) below:
A national car rental company recently conducted a study in which cars with automatic and standard transmissions were rented to male and female customers. Three customers in each category were randomly selected and the miles driven per day was recorded as follows:
 
-Given the following output, which of the following statements is true at α = 0.05? 
A) Since the interaction effect of gender and transmission type on miles driven is not significant, it is appropriate to interpret the main effects due to gender and transmission type separately. 
B) We reject the hypothesis that gender affects miles driven per day. 
C) Since the interaction effect of gender and transmission type on miles driven is significant, it is not appropriate to interpret the main effects due to gender and transmission type separately. 
D) We reject the hypothesis that transmission type influences miles driven per day. 
E) Both gender and transmission influence the number of miles drive per day.

Quizplus · Accepted Answer

The output shows that the interaction effect between gender and transmission type is not significant (p-value = 0.176), which means it is appropriate to interpret the main effects separately. The p-value for gender is 0.038, which is less than 0.05, so we reject the null hypothesis and conclude that gender affects miles driven per day. The p-value for transmission type is 0.098, which is not less than 0.05, so we fail to reject the null hypothesis and conclude that transmission type does not have a significant effect on miles driven per day. Therefore, statement A is the correct choice.

Consider the Following to Answer the Question(s) Below