A car dealership recently completed an analysis of the profits for five categori

Question

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 ANOVA null hypothesis in context?

Fail to reject the null hypothesis. We can conclude that the mean profits for all vehicle types are 0.

Fail to reject the null hypothesis. The true proportions of cars made by each manufacturer are all 0.20.

Reject the null hypothesis. We can conclude that the mean profits for exactly three vehicle types differ.

Fail to reject the null hypothesis. We cannot conclude that any of the mean profits differ for each type of vehicle.

Reject the null hypothesis. We can conclude that the mean profits differ for at least two vehicle types.

Reject the null hypothesis. We can conclude that the mean profits for all vehicle types are different.

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 ANOVA null hypothesis in context?

Fail to reject the null hypothesis. We can conclude that the mean profits for all vehicle types are 0.

Fail to reject the null hypothesis. The true proportions of cars made by each manufacturer are all 0.20.

Reject the null hypothesis. We can conclude that the mean profits for exactly three vehicle types differ.

Fail to reject the null hypothesis. We cannot conclude that any of the mean profits differ for each type of vehicle.

Reject the null hypothesis. We can conclude that the mean profits differ for at least two vehicle types.

Reject the null hypothesis. We can conclude that the mean profits for all vehicle types are different.

Explanation / Answer

Sol:

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]

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.