Question 17: as we do not know if the actual average is higher and lower than 40,000, we will do a two-tailed test at the 5% significance level. Give the hypotheses.

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Chapter10: Statistics
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Question 17: as we do not know if the actual average is higher and lower than 40,000, we will do a two-tailed test at the 5% significance level. Give the hypotheses.
A certain brand of tire advertises an average of 40,000 miles of
tread wear before replacement. An auto magazine will do an
article on the tire. They sample 48 tires and the average tread
wear before replacement was 39,800 miles with a standard
deviation of 2,000 miles. As we do not know if the actual
average is higher or lower than 40,000, we will do a two-tailed
test at the 5% significance level.
Give the hypotheses.
O Null: The average tread wear is 40,000 miles before replacement.
Alternative: The average tread wear is not 40,000 miles before
replacement.
Null: The average tread wear is 40,000 miles before replacement.
Alternative: The average tread wear is less than 40,000 miles before
replacement.
Null: The average tread wear is 40,000 miles before replacement.
Alternative: The average tread wear is greater than 40,000 miles
before replacement.
Transcribed Image Text:A certain brand of tire advertises an average of 40,000 miles of tread wear before replacement. An auto magazine will do an article on the tire. They sample 48 tires and the average tread wear before replacement was 39,800 miles with a standard deviation of 2,000 miles. As we do not know if the actual average is higher or lower than 40,000, we will do a two-tailed test at the 5% significance level. Give the hypotheses. O Null: The average tread wear is 40,000 miles before replacement. Alternative: The average tread wear is not 40,000 miles before replacement. Null: The average tread wear is 40,000 miles before replacement. Alternative: The average tread wear is less than 40,000 miles before replacement. Null: The average tread wear is 40,000 miles before replacement. Alternative: The average tread wear is greater than 40,000 miles before replacement.
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