An auto magazine wants to review the tread mileage wear of two sports tires. We will compare the average tread wear before replacement between Micheline and Pirelli. As we don't know which brand as a higher average treadwear we will use a two-tailed test. The magazine randomly samples 44 Micheline tires and they had an average treadwear of 20,000 miles before replacement, with a standard deviation of 2,000 miles. There was a random sample of 48 Pirelli tires. The average tread wear of the 48 Pirelli tires was 21,000 miles with a standard deviation of 2,000 miles. Define the first population as the Micheline tires and the second population as the Pirelli tires. Using a 5% significance level determine if the brand competitors do not have an average equal tread wear. Give the hypotheses. Null: There is no difference in the average tread wear of the tires. Alternative: Michelin tires have a an average greater tread wear. Null: There is no difference in the average tread wear of the tires. Alternative: Pirelli tires have a an average greater tread wear. Null: There is no difference in the average tread wear of the tires. Alternative: The average tread wear of the tire brands is not equal.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Question 5: give the hypotheses.
An auto magazine wants to review the tread mileage wear of two
sports tires. We will compare the average tread wear before
replacement between Micheline and Pirelli. As we don't know which
brand as a higher average treadwear we will use a two-tailed test. The
magazine randomly samples 44 Micheline tires and they had an
average treadwear of 20,000 miles before replacement, with a
standard deviation of 2,000 miles. There was a random sample of 48
Pirelli tires. The average tread wear of the 48 Pirelli tires was 21,000
miles with a standard deviation of 2,000 miles. Define the first
population as the Micheline tires and the second population as the
Pirelli tires. Using a 5% significance level determine if the brand
competitors do not have an average equal tread wear.
Give the hypotheses.
Null: There is no difference in the average tread wear of the tires.
Alternative: Michelin tires have a an average greater tread wear.
Null: There is no difference in the average tread wear of the tires.
Alternative: Pirelli tires have a an average greater tread wear.
Null: There is no difference in the average tread wear of the tires.
Alternative: The average tread wear of the tire brands is not equal.
Transcribed Image Text:An auto magazine wants to review the tread mileage wear of two sports tires. We will compare the average tread wear before replacement between Micheline and Pirelli. As we don't know which brand as a higher average treadwear we will use a two-tailed test. The magazine randomly samples 44 Micheline tires and they had an average treadwear of 20,000 miles before replacement, with a standard deviation of 2,000 miles. There was a random sample of 48 Pirelli tires. The average tread wear of the 48 Pirelli tires was 21,000 miles with a standard deviation of 2,000 miles. Define the first population as the Micheline tires and the second population as the Pirelli tires. Using a 5% significance level determine if the brand competitors do not have an average equal tread wear. Give the hypotheses. Null: There is no difference in the average tread wear of the tires. Alternative: Michelin tires have a an average greater tread wear. Null: There is no difference in the average tread wear of the tires. Alternative: Pirelli tires have a an average greater tread wear. Null: There is no difference in the average tread wear of the tires. Alternative: The average tread wear of the tire brands is not equal.
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