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: μ1 = μ2 = μ3 = μ4 = μ5

Hα: At least any two of the group means μ1, μ2, ..., μ5 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 x¯ and s²Above

Q2.)  Degrees of freedom - numerator: df(num) = _________

Q3.)  F statistic = ________

Q4.)  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

Q5) 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