The manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 21 tires surveyed, the mean lifespan was 41500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The manufacturer of a particular brand of tires claims they
average at least 50,000 miles before needing to be
replaced. From past studies of this tire, it is known that
the population standard deviation is 8,000 miles.
A survey of tire owners was conducted. From the 21 tires
surveyed, the mean lifespan was 41500 miles. Using alpha
= 0.05, can we prove that the data in inconsistent with the
manufacturers claim?
We should use a
test.
What are the correct
eses?
Ho: H
На: и
Based on the hypotheses, find the following:
Test Statistic=
p-value=
The correct decision is to | Reject the null hypothesis
The correct conclusion would be:
There is enough evidence to conclude that the tires last fewer miles than cla
Transcribed Image Text:The manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 21 tires surveyed, the mean lifespan was 41500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim? We should use a test. What are the correct eses? Ho: H На: и Based on the hypotheses, find the following: Test Statistic= p-value= The correct decision is to | Reject the null hypothesis The correct conclusion would be: There is enough evidence to conclude that the tires last fewer miles than cla
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