Suppose we fail to reject Ho: μ ≥ 50 When the true mean is µ = 5 Given a sample of size n-64 and o=6 and with a-0.05 Calculate the critical sample mean Xa, the Zxa, The probability of type II error E and the power of the hypothesis test P. Xa= μho + (za)(o/root n) ZXa=Xa-μho/o/root n Calculate X: = 50+(1.645) (6/root 64)= 51.23 Calculate Zxa with the true mean μ = 53: ZXa-Xa-μho / o / root n =51.23-53 / (6/ root 64) = -2.36 The probability of type II error B: B-P(x<51.23)=P(z<-2.36)=0.00914 The power of the hypothesis test P: 1- B 1-0.00914-0.99086 888 20 I

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