b) Let Y., Y., ..., Y, be a random sample from a population with probability density function in part a). Show that the
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b) Let Y., Y., ..., Y, be a random sample from a population with probability density function in part a). Show that the
b) Let Y., Y., ..., Y, be a random sample from a population with probability density function in part a). Show that the best test for the hypothesis in part a) rejects H if n Πh s Yi SC i=1 (8) where c solves the probability equation a = P(TI=1 Yi S cl0 = 2). c) Let Xl, X2, ...,X, be a random sample from GAMMA(2.B) distribution, and consider Y = 21-X Li=1 Show whether or not Y is a pivotal quantity and give its distribution. (4)
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