5. Let X equal the yield of alfalfa in tons per acre per year. Assume that X is N(1.5, 0.09). It is hoped that a new fertilizer will increase the average yield. We shall test the null hypothesis Ho : / = 1.5 against the alternative hypothesis #1 : / > 1.5. Assume that the variance continues to equal o' = 0.09 with the new fertilizer. Using X, the mean of a random sample of size n, as the test statistics, reject the Ho if I > c. Find n and c so that the power funstion K() = P(X 2 c: /) is such that a = K' (1.5) = 0.05 and K (1.7) = 0.95