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12 Nov 2021
Problem 74
Page 508
Section: HOMEWORK
Chapter 9: HYPOTHESIS TESTING WITH ONE SAMPLE
Textbook ExpertVerified Tutor
12 Nov 2021
Given information
The sample size(n)=28; mean for the given distribution 
=50000; And the standard deviation 
=8000; alpha = 0.05;
Let 
the average lifespan of a brand of tires=46,500;
Step-by-step explanation
Step 1.
The actual test begins by considering two hypotheses. They are called the null hypothesis and the alternative hypothesis. These hypotheses contain opposing viewpoints.
The null hypothesis: It is a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt: 
So, from the given information;
;
;The alternative hypothesis: It is a claim about the population that is contradictory to H0 and what we conclude when we reject : 
;
: ;So, 
;
; As per the given distribution, the average lifespan of a brand of tires; And the distribution is normally distributed as the sample size(n) is 28.
the average lifespan of a brand of tires; And the distribution is normally distributed as the sample size(n) is 28.So, 
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
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