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In this question, we see a list of three hypotheses numbered 1, 2, and 3, but when I click on "edit", they're numbered 2, 3, and 4, and the question refers at one point to 4. When reading rather than editing, one doesn't see any "4".
My professor asked this question
Why is the hypothesis test correct
- $H_0: \mu_1=\mu_2=\mu_3$
$H_a:$ at least one different
And these hypothesis wrong
So basically why cant we say that if we reject 2, 3, and 4 than why cant we reject 1 or if we reject 2, 3, or 4 than we can reject 1? He basically wants to know why we must use the first hypothesis test and not the last three?