A tire manufacturer has been producing tires with an average life expectancy of 28,000 miles. Now the company is advertising that its new tires' life expectancy has increased. In order to test the legitimacy of the advertising campaign, an independent testing agency tested a sample of 12 of their tires and has provided the following data.
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![A tire manufacturer has been producing tires with an average life expectancy of 28,000
miles. Now the company is advertising that its new tires' life expectancy has increased. In
order to test the legitimacy of the advertising campaign, an independent testing agency tested
a sample of 12 of their tires and has provided the following data.
Longevity
(In Thousands
of Miles)
28.0
26.5
27.2
26.0
28.3
26.4
29.1
25.0
28.1
27.7
28.3
26.9
a. Determine the mean and the standard deviation.
Formulate the correct hypotheses to determine whether
b.
or not the tire company is using legitimate advertising.
At the .05 level of significance using the critical value
approach, test to determine whether or not the tire
company is using legitimate advertising. Assume the
population is normally distributed.
d. Repeat the test using the p-value approach.
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