(2) (10 pts) Let X1, X2,..., X10 be a random sample of size n = 10 from Poisson Distribution with mean 1. Reject the sim

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2 10 Pts Let X1 X2 X10 Be A Random Sample Of Size N 10 From Poisson Distribution With Mean 1 Reject The Sim 1 (45.43 KiB) Viewed 80 times

(2) (10 pts) Let X1, X2,..., X10 be a random sample of size n = 10 from Poisson Distribution with mean 1. Reject the simple null hypothesis H, : 1 = 0.5 in favor of H : 1 > 0.5, if the observed sum El ti > 10. (a) (5 pts) Compute the significance level a of the test. (b) (5 pts) Find the power function K(1) of the test as a sum of Poisson probabilities.