Mathematics, 11.12.2019 21:31 chloehall2269
Let x1 , x2 be iid uniform(θ,θ+1), θ ≥ 0, and consider the test h0: θ = 0 against h1: θ > 0.
suppose we have two competing tests:
test 1: reject the null if x1 > .95.
test 2: reject the null if x1 + x2 > c, where c is a constant specified by the researcher.
a. find the value of c such that the two tests have equal size.
b. define the power function for each test (the second will be piecewise). draw (or use software to create) a graph of the power function for each test.
Answers: 1
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Use the three steps to solve the problem. mrs. west is 14 years younger than her aunt. if mrs. west's age in years is as much below 60 as her aunt's age is over 40, how old is each? {aunt's age is a0, mrs. west's age is a1}
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Let x1 , x2 be iid uniform(θ,θ+1), θ ≥ 0, and consider the test h0: θ = 0 against h1: θ > 0.
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