Suppose that we are testing whether five population means ar

Suppose that we are testing whether five population means are equal to each other. We would normally use ANOVA for that, but suppose that we carry out separate hyptothesis tests in which we compare the four means to each other, two at a time. Using a level of significance of 0.01 what is the probability of a Type I error in one or more of the pair-wise hypothesis tests?

0.01

0.05

0.096

0.99

Solution

0.01 is the answer as prob of type I error is alpha