You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=85.3Ho:μ=85.3 Ha:μ>85.3Ha:μ>85.3You believe the population is normally distributed and you know the standard deviation is σ=13.8σ=13.8. You obtain a sample mean of M=87.2M=87.2 for a sample of size n=43n=43.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = The test statistic is...in the critical regionnot in the critical regionThis test statistic leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.3.There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.3.The sample data support the claim that the population mean is greater than 85.3.There is not sufficient sample evidence to support the claim that the population mean is greater than 85.3.

Given that Population normally distributed Population standard deviation (σ) = 13.8 Sample mean…

Answered: population is normally distributed and…

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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You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.

Ho:μ=85.3Ho:μ=85.3
Ha:μ>85.3Ha:μ>85.3

You believe the population is normally distributed and you know the standard deviation is σ=13.8σ=13.8. You obtain a sample mean of M=87.2M=87.2 for a sample of size n=43n=43.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

The test statistic is...

in the critical region
not in the critical region

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.3.
There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 85.3.
The sample data support the claim that the population mean is greater than 85.3.
There is not sufficient sample evidence to support the claim that the population mean is greater than 85.3.

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