SOLUTION: 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 d

Question 1058561: 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.
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 = ________ ________ ________ ________ ________

my question below
what is the F statistic =______
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
I only see 4 teenagers in each group
:
We use the formulas for mean and variance
:
sample mean = (summation of x(i) from 1 to n) / n, where n is 4 teenagers in each group
sample variance = (summation of (x(i)-mean)^2) from 1 to n) / (n-1)
:
sample mean = 16.325 16.5 16.4 16.425 16.925
:
sample variance = 0.02917 0.08667 0.04667 0.02917 0.07583
:
*************************************************************************
F statistic = max variance / sum of variances = 0.08667 / 0.26751 = 0.324
*************************************************************************
:

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