here's the question

5. Let X be chi-squared with 6 degrees of freedom, where 0 is an unknown positive integer. Let X1, . .., Xn be a random sample of X. (a) (6 points) Suppose we are testing Ho : 0 = 1 against H1 : 0 > 1 using the following test: we take n = 10 samples and reject Ho if _ xi 2 18.31. Compute the significance level of this test.(b) (6 points) Let KW), 6' 6 {1,2,3,...}, be the power function for the test in part (0:). Compute K (2) (c) (8 points) Use the Neyman-Pearson Lemma to show that a best critical region for testing Ho : 0 = 1 against H1 : 0 = 2 is of the form {(x1, ..., Xn) : Ctlnxi > c} for some constant c