The manufacturer of a particular brand of tires claims they average at least 82,000 km before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 12,900 km. A survey of tire owners was conducted to determine if the mileage of the tires is lower than 82,000 km. From the 32 tires sampled, the mean lifespan was 79,500 km. Testing at a = 10%, can we prove that the data is inconsistent with the manufacturers claim? %3D A. We should use a test. B. What are the correct hypotheses? Но: (и H1: H < Based on the hypotheses, find the following (round correct to at least 2 decimal places): C. Test Statistic = D. Critical Value = (note the direction of H1) %3D E. The correct decision is to Fail to reiect the null hypothesis

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The manufacturer of a particular brand of tires claims they
average at least 82,000 km before needing to be replaced.
From past studies of this tire, it is known that the
population standard deviation is 12,900 km.
A survey of tire owners was conducted to determine if the
mileage of the tires is lower than 82,000 km. From the 32
tires sampled, the mean lifespan was 79,500 km. Testing at
a = 10%, can we prove that the data is inconsistent with
the manufacturers claim?
A. We should use a
test.
B. What are the correct hypotheses?
Ho: H
H1: (H
Based on the hypotheses, find the following (round
correct to at least 2 decimal places):
C. Test Statistic =
D. Critical Value
(note the direction of H1)
E. The correct decision is to
Fail to reject the null hypothesis
Transcribed Image Text:The manufacturer of a particular brand of tires claims they average at least 82,000 km before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 12,900 km. A survey of tire owners was conducted to determine if the mileage of the tires is lower than 82,000 km. From the 32 tires sampled, the mean lifespan was 79,500 km. Testing at a = 10%, can we prove that the data is inconsistent with the manufacturers claim? A. We should use a test. B. What are the correct hypotheses? Ho: H H1: (H Based on the hypotheses, find the following (round correct to at least 2 decimal places): C. Test Statistic = D. Critical Value (note the direction of H1) E. The correct decision is to Fail to reject the null hypothesis
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