Exercise 9. Consider X; ~ U([0,0]) with n = 10 observations. We would like to test whether 0 > 1: Ho : 0 < 1, 0 > 1 H: a

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Exercise 9 Consider X U 0 0 With N 10 Observations We Would Like To Test Whether 0 1 Ho 0 1 0 1 H A 1 (78.69 KiB) Viewed 18 times

Exercise 9. Consider X; ~ U([0,0]) with n = 10 observations. We would like to test whether 0 > 1: Ho : 0 < 1, 0 > 1 H: a) Let Y = max(X1, ..., X10). We consider the test 8: , Ho rejected if Y > c. Determine c such that the test is of size a = 5%. b) Find the expression of the power function of the test: 7(08). c) Determine the type I or type II errors of the test in the following cases: 0 = .5 and 0 = 1.5.