2. (6pt) A single observation is made from the distribution f(x) = (*)(1 - where = - 0 < x < a Consider a null hypothesi

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2 6pt A Single Observation Is Made From The Distribution F X 1 Where 0 X A Consider A Null Hypothesi 1 (241.12 KiB) Viewed 29 times

2. (6pt) A single observation is made from the distribution f(x) = (*)(1 - where = - 0 < x < a Consider a null hypothesis: Ho: Q = 1. Assume H, is rejected in favor of Hj:a > 1 if x > 0.9 = a) (2) Plot f(x) for Ho, shade the region that corresponds to type 1 error and calculate its value. b) (2) Assume the true value of a = 2. Plot the true distribution on the same plot you did in part a). Shade and calculate type 2 error for a = 2 c) (2) What value of x would be the optimal decision boundary to minimize total error (type 1 + type 2) ? Calculate its value and show its location on the plot you made.