Given the pdf fY (y; ) = 2y 2 , 0 y . Take a
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Given the pdf fY (y; θ) = 2y θ2 , 0 ≤ y ≤ θ. Take a sample of size 3 from this pdf. Use the statistic Ymax to test H0: θ = 5 versus H1: θ > 5. Recall that for n = 3 the pdf of Ymax is fYmax (y; θ) = 6y5/ θ6 , 0 ≤ y ≤ θ.
(a) Find the critical value to give a test of significance α = 0.05.
(b) Suppose θ = 7. What is the Type II error for the test in part (a).
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a The pdf of Ymax is given as fY y 6y56 We need to find the critical va...View the full answer
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