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We are given that n=15, the sample mean Ῡ=2.5, the sample standard deviation s=1.5 and random...

We are given that n=15, the sample mean Ῡ=2.5, the sample standard deviation s=1.5 and random variable Y distributed Normal with mean µ and variance σ2, where both µ and σ2 are unknown and we are being concentrated on testing the following set of hypothesis about the mean parameter of the population of interest.

We are to test:

H0 : µ ≥ 3.0 versus H1 : µ < 3.0.

Compute the following:

a) P- value of the test

b)    Probability of making Type II error and the power of this test at µ= 2.0

Math   Statistics-And-Probability   
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