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- From Mathematics, Statistics
- Due on 17 Apr, 2015 12:59:00
- Asked On 15 Apr, 2015 02:58:56
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**13.2 The F Distribution and the F-Ratio**

Suppose a group is interested in determining whether teenagers obtain their drivers licenses at approximately the same average age across the country. Suppose that the following data are randomly collected from five teenagers in each region of the country. The numbers represent the age at which teenagers obtained their drivers licenses. (For next two problems)

*H0*: *μ*1 = *μ*2 = *μ*3 = *μ*4 = *μ*5

*Hα*: At least any two of the group means *μ*1, *μ*2, …, *μ*5 are not equal.

Northeast South West Central East

16.3 16.9 16.4 16.2 17.1

16.1 16.5 16.5 16.6 17.2

16.4 16.4 16.6 16.5 16.6

16.5 16.2 16.1 16.4 16.8

X¯= ________ ________ ________ ________ ________

s2 = ________ ________ ________ ________ ________

**Q1.)** Solve for x̄ and **s**^{2}Above

**Q1a.)** Degrees of freedom – numerator: *df*(*num*) = _________

**Q2.)** *F *statistic = ________

**Q3.)** A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that shows the results of a study.

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.

CNN FOX Local

45 15 72

12 43 37

18 68 56

38 50 60

23 31 51

35 22

**Q4.)** Are the mean number of times a month a person eats out the same for whites, blacks, Hispanics and Asians? Suppose that shows the results of a study.

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.

White Black Hispanic Asian

6 4 7 8

8 1 3 3

2 5 5 5

4 2 4 1

6 6 7

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