Testing:H0: μ ≤ 26.5H1: μ > 26.5Your sample consists of 38 values, with a sample mean of 27.3. Suppose the population standard deviation is known to be 1.77.a) Calculate the value of the test statistic, rounded to 2 decimal places.z=b) At α=0.03, the rejection region isz < -1.88 or z > 1.88z > 1.88z < -1.88z < -2.17z > 2.17z < -2.17 or z > 2.17c) The decision is toAccept the null hypothesisAccept the alternative hypotheisReject the null hypothesisFail to reject the null hypothesisd) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?Type IType II Testing:Но: и < 26.5Hі:р > 26.5Your sample consists of 38 values, with a sample mean of 27.3. Suppose the population standard deviationis known to be 1.77.a) Calculate the value of the test statistic, rounded to 2 decimal places.= Zb) At a = 0.03, the rejection regionOz < -1.88 or z > 1.88Oz > 1.88Oz < -1.88Ог<-2.17Oz > 2.17Oz < -2.17 or z > 2.17c) The decision is toAccept the null hypothesisO Accept the alternative hypotheisReject the null hypothesisFail to reject the null hypothesisd) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?Туре IТуре II

Solution According to guidelines we solve first three subpart

Answered: Testing: H0: μ ≤ 26.5 H1: μ > 26.5…

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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Testing:

H0: μ ≤ 26.5
H1: μ > 26.5

Your sample consists of 38 values, with a sample mean of 27.3. Suppose the population standard deviation is known to be 1.77.

a) Calculate the value of the test statistic, rounded to 2 decimal places.
z=

b) At α=0.03, the rejection region is