5y* y > 0. a) Find the rejection region for the most powerful test of Họ : 0 = 2 against HA :0 = 0A, where 0A is some fixed number larger than 2. Take a = = .05.

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Let Y1, Y2,.. ,Y15 denote an iid random sample from the
density function,
f (y|0) =
5yte-y/0
y > 0.
(a) Find the rejection region for the most powerful test of Ho : 0
HA : 0 = 0A, where 0A is some fixed number larger than 2. Take a =
2 against
= .05.
Transcribed Image Text:Let Y1, Y2,.. ,Y15 denote an iid random sample from the density function, f (y|0) = 5yte-y/0 y > 0. (a) Find the rejection region for the most powerful test of Ho : 0 HA : 0 = 0A, where 0A is some fixed number larger than 2. Take a = 2 against = .05.
15
(b) If you observe E y = 46.98, what is the p-value? Is the null hypothesis
rejected at a =
0.05? What is the power at 0a = 5?
Transcribed Image Text:15 (b) If you observe E y = 46.98, what is the p-value? Is the null hypothesis rejected at a = 0.05? What is the power at 0a = 5?
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