6 A car dealership recently completed an analysis of the pro

6)

  A car dealership recently completed an analysis of the profits for five categories of vehicles. The results are presented in the attached ANOVA table. At the 0.05 level of significance what would the decision be regarding the the ANOVA null hypothesis?

A) conclude that exactly two of the means differ
B)Conclude that all of the means mst differ
C)Conclude that all of the group means equal 0
D) Fail to reject the null hypothesis
E)Reject the null hypothesis

Solution

Here, we see,

F = 0.7806

Fcrit = 2.423

Thus,

F < Fcrit, so we fail to reject Ho.

Thus, we have no significant evidence that any of the means differ.

Thus, the best answer is

OPTION D) Fail to reject the null hypothesis. [ANSWER, D]