A statistician has a random sample of 30 observations from apopulation which has a normal distribution with a standard deviationof 5. These data are used to test the hypothesesH : μ = 0, H, :μ + 0,where is the mean of the population. A 5% significance level will beused.fl(a) Calculate the power of an appropriate test when the true value ofthe population mean is 2. Give your answer to 3 dp.(b)When the true value of the population mean is 3, the power of thetest at the 5% level is 0.908 (to 3 dp). Give an explanation ofwhat this means in terms of hypothesis testing.(c) If the significance level of the test described in part (b) isincreased from 5% to 10% what effect will this have on the power?Explain your answer.

It is interpreted that: σ population SD=5n sample size=30μ0 claimed population mean=0

Answered: A statistician has a random sample of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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