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1. The data show the fuel economy (miles per gallon)cars driven in two different settings.What is the point estimate of the difference in the two

1. The data show the fuel economy (miles per gallon)cars driven in two different settings.What is the point estimate of the difference in the two mpg values (calculate as mean from sample 1minus mean from sample 2)? Always answer to at least five decimal places

2. Use the data from the previous question for this and following questions.

Suppose you want to test the hypothesis that there is no difference between the average miles per gallonfor the two populations. What is the correct null hypothesis?

3. You are going to test the hypothesis that the mean fuel economy is the same for the two populations.What is the standard error? Do not assume that the population variances are equal.

4. You are going to test the hypothesis that the mean fuel economy is the same for the two populations.What is the test statistic? Do not assume that the population variances are equal.

5. You are going to test the hypothesis that the mean fuel economy is the same for the two populations.What is the p value for this test? Do not assume that the population variances are equal.

6. You are going to test the hypothesis that the mean fuel economy is the same for the two populations.What is the positive t critical value for this test (alpha=.05)?Notice that there are 14 dfin this problem.

7. In the hypothesis test for equality of mean fuel economy (mpg)using an alpha of .05you reject the null hypothesis of equal means.

True or False?

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

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