Suppose X₁, X2, ..., X30 is a random sample from a normal population with mean and = variance 10. Find the most powerful test of size a region C, for the simple null hypothesis Ho: μ 0.05 and its corresponding critical 20 against the simple alternative = hrnothosia HI 15

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Suppose X₁, X2, . . . , X30 is a random sample from a normal population with mean µ and
variance 10. Find the most powerful test of size a = 0.05 and its corresponding critical
region C, for the simple null hypothesis Hoμ 20 against the simple alternative
=
hypothesis Ha μ = 15.
:
Transcribed Image Text:Suppose X₁, X2, . . . , X30 is a random sample from a normal population with mean µ and variance 10. Find the most powerful test of size a = 0.05 and its corresponding critical region C, for the simple null hypothesis Hoμ 20 against the simple alternative = hypothesis Ha μ = 15. :
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