Suppose we are trying to find the effects of 3 categorical variables on the resp

Suppose we are trying to find the effects of 3 categorical variables on the response (numerical)variable. Factor A with a levels Factor B with b levels and Factor C with c levels. Thereforethere are a.b.c treatments and (as a result) a.b.c population means (Let g=a.b.c). Our goal is totest the hypothesis:Ho: 1 = 2 = = g = vs.Ha: At least one of i .Use the same method we developed for TWO-WAY ANOVA in class to test the hypothesis of equality of all population means (hypothesis stated above). State all null and alternative hypotheses we need firstly to test in order to test the final hypothesis and explain your procedure. Hint: Your procedure must contain 7 hypotheses. At each step we test a hypothesis if we fail to reject the null hypothesis we will continue and if we reject the null hypothesis we will stop.