Find the critical F0value to test the claim that the populat

Find the critical F0-value to test the claim that the populations have the same mean. Use I +/- = 0.05.

Solution

Let Yij is the ith sales data of the jth salesman . Salesman is the factor which has effect on the response variable Yij. Let it be factor A. Where \'a\' is the number of salesmen of the comlany which is known as the treatments of the factor A and \'n\' is the number of sales data under each salesmen which is known as the number of replications under each level of the factor A. Null hypothesis: Ho: (Ybar).1=(Ybar).2=(Ybar).3=-- - - - - (Ybar).a. Alternative hypothesis: H1:treatment means are not equal for atleast one pair of treatments. Therefore Fo=[mean sum of squares of treatments]/[mean sum of squares of error] =[sum of squares of treatments/(a-1)]/[sum of squares of error/(a*(n-1))] Fcal<F( = 0.05)and degrees of freedom, then the null hypothesis Ho is accepted, otherwise H1 is accepted.