Question

Consider two corn varieties, A and B, both grown in the Morrow Plots. (Ilinois is very serious about their corn. Rumor has it, if a student is found trespassing in the Morrow Plots, they will be expelled...) Suppose that Xi, X2,..., Xn, representing yields per acre for corn variety A, constitute a random sample from a normal distribution with mean 111 and variance θ. (In more usual notation, θ-σ2, but we are using θ here to make the notation easier in this problem.) Also, Yi, Y2,... , Ym, representing yields for corn varietyB, constitute a random sample from a normal distribution with mean μ2 and variance θ. If the Xi and Y are all and ,12 are known.

Answer 1