Question

A researcher wishes to determine whether there is a difference in the average age of elementary school, high school, and community college teachers. Teachers are randomly selected. Their ages are recorded below. A suitable hypothesis test will be conducted to test the claim that there is no difference in the average age of each group. Find the test statistic. g

Answer 1

F- test

Explanation:

Testing the hypothesis about the equality of k (k>2) population means

Test statistic F is used to find the whether there is no difference in the average age of each group.

Test statistic to be used

F= Between Mean Square/ Within Mean Square

F= s1²/s2² where s1 and s2 are independent unbiased estimates of the variance and their values do not differ greatly.

Which have v1= k-1 and v2= n-k degrees of freedom

The analysis of variance F -t est is always a one tailed test with rejection region located in the right tail of the F- distribution.