Please use the following information for Questions 2, 3, and 4.

To determine whether there was a relationship between the region of the world that you live in and the amount of beer that you drink, suppose we took 3 samples of 25 people per region from Asia, Europe and America.

Question 2 of 4

Question 2

If we let ₁, ₂, and ₃ be the average beer per capita in liters for Asia, Europe and America, respectively, the appropriate hypotheses in this case are:

H₀: ₁ = ₂ = ₃

H_a: ₁, ₂, ₃, are not all equal

H₀: ₁, ₂, ₃, are not all equal

H_a: ₁ = ₂ = ₃

H₀: ₁ = ₂ = ₃

H_a: _{1 2 3}

H₀: _{1 2 3}

H_a: ₁ = ₂ = ₃

None of the above are correct.

Question 3 of 4

Question 3

Here are the three sample standard deviations for the beer consumption for the three groups (Asia, Europe and America):

Column	Std. Dev.
Asia	6.5
Europe	7.3
America	5.2

Based on this information, do the data meet the condition of equal population standard deviations for the use of the ANOVA?

Yes, because 7.3 - 5.2 < 2.

Yes, because7.35.2<27.35.2<2.

No, because the standard deviations are not equal.

No, because 7.3 - 5.2 > 2.

No, because the standard deviations are not equal.

Unable to determine from the information provided.

Question 4 of 4

Question 4

The analysis was run on the data and the following output was obtained:

ANOVA table

Source	df	SS	MS	F-Stat	P-value
Region	2	18,441	9220.4	17.46	0.000
Error	72	20,594	528.0
Total	74	30,034

Based on this information, we :

Fail to reject the H₀ and conclude that the data provide strong evidence that the three means (representing the amount per capita of beer that people drink per region) are not all equal.

Fail to reject the H₀ and conclude that the data do not provide sufficient evidence that there is a relationship between the the region of the world and the quantity of beer that people drink.

Reject the H₀ and conclude that the data provide strong evidence that there is a relationship between the region of the world and the quantity of beer that people drink.

Reject the H₀ and conclude that the data provide strong evidence that the amount of beer people drink is related to region the following way: the mean for Europe is higher than the mean for America, which in turn is higher than that of Asia.