2. Smith's Dairy is contemplating the profitability of utilizing a new bovine growth hormone for increasing the milk production of its cows. Smith's randomly selects cows and administers given dosages of growth hormone at regular intervals. All animals are cared for identically except for the levels of hormone administered. A random sample of size n from the composite experiment measuring the total milk production over the lactation Problems of each animal is represented by YI = fll + fl2XI + el , t = I, ... , n, where the et's are presumed to be iid with a common marginal density function