Question

Of n randomly selected engineering students at ASU, X1 owned an HP calculator, and ofn2 randomly selected engineering students at Virginia Tech, X2 owned an HP calculator. Let p, and p2 be the probability that randomly selected ASU and Virginia Tech engineering students, respectively, own HP calculators (a) Model the two random variables X1, X2 as a reasonable random variable with appropriate parameters (b) Show that an unbiased estimator for Ф-Pa) is (X1/nl-X2/n2) (c) What is the standard error of the point estimator in part (b)? (d) How would you compute an estimate of the standard error found in part (b)? (e) Suppose n,-100, X,-40, n2-250, and X2 = 150. Compute an estimate of (p1-P2). (f) Use the results in parts (b) through (e) to compute an estimate of the standard error of the estimate.

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