a)Suppose that Y₁, Y2, ..., Y is a random sample from a normal distribution with parameter mean0 and variance 0, say N(0,0). If Mr Masela and Mr Sepuru desire to use 5% level ofsignificance to test the null hypothesis Ho: 0 = 1 against alternative hypothesis H₁:0 > 1.i) Show that the uniformly most powerful test of their hypothesis rejects H, ifΣyc, where c is a constant that solves the probability equation0.05 = P1Y² ≥c|0 = 1).ii) What will be the value of c in part a) if n = 15.

Answered: Image /qna-images/answer/405bacdb-19e8-4fd7-b190-2af5d224d73a.jpg

Answered: a) Suppose that Y₁, Y2, ..., Y₁ is a…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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