Question: Exercise 10.98: Let Y 1 , Y 2 , ..., Y n be a random sample from the probability density function given by f (

  1. Exercise 10.98: Let Y1, Y2, ..., Yn be a random sample from the probability density function given by

f(y;)=(1)mym1exp(ym)wherey>0

with m denoting a known constant.

  1. Find the uniformly most powerful test for testing H0: 0 against HA: > 0.

  1. If the test in part (a) is to have 0 = 100, = 0.05 and = 0.05 when A = 400, find the appropriate sample size and critical region.

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