1. You are going to test the null hypothesis that the mean fuel economy for population 1is greater than or equal to the mean for population 2 .What is the test statistic? Do not assume that the population variances are equal.

2. You are going to test the null hypothesis that the mean fuel economy for population 1is greater than or equal to the mean for population 2 .What is the critical value?Remember,if this is a one-tail test then the sign (positive or negative)of the critical value matters.Use alpha=.05for the level of your test.

3. In the hypothesis test where H₀:mu₁ >=mu₂for MPG,you reject the null hypothesis when usingan alpha of .05 for your test. (True or False?)

4. Suppose you want to show that population 1 has a mean fuel economy (MPG) that is more than 0.1MPG better (here, more is better)than the meanof population 2.What is the appropriate null hypothesis?

Hint: think in terms of what null hypothesis you would need to reject in order to find support for what you are trying to show.

5. You are going to test the null hypothesis that the mean fuel economy for population 1is lessthan or equal to (the mean for population 2 + 0.3); that is H₀: mu₁ <= mu₂+ 0.3.What is the test statistic for this test?

6.You are going to test the null hypothesis that the mean fuel economy for population 1is lessthan or equal to (the mean for population 2 + 0.3); that is H₀: mu₁ <= mu₂+ 0.3.What is the p-value?Remember,if this is a one-tail test then the sign (positive or negative)of the test statistic matters when calculating the p-value.

7. You are going to test the null hypothesis that the mean fuel economy for population 1is lessthan or equal to (the mean for population 2 + 0.3); that is H₀: mu₁ <= mu₂+ 0.3.What is the critical t value for a test with alpha=.1?Remember,if this is a one-tail test then the sign (positive or negative)of the critical valuematters and this determines the rejection region.

Population 1	Population 2
24.2	23.0
26.1	21.7
28.8	32.7
30.1	20.7
24.6	31.1
29.1	19.6
28.2	26.5
27.4	21.1
28.3	20.6
27.9	27.2
	26.8