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An automobile manufacturer wishes to compare the lifetimes of two brands of tire. She obtains samples of seven tires of each brand. On each of seven cars, she mounts one tire of each brand on each front wheel. The cars are driven until only 20% of the original tread remains. The distances, in miles, for each tire are presented in the following table. Can you conclude that there is a difference between the mean lifetimes of the two brands of tire? Car Brand 1 Brand 2 36,925 34,318 2 45,300 42,280 3 36,240 35,500 4 32,100 31,950 37,210 38,015 48,360 47,800 38,200 33,215 State the appropriate null and alternate hypotheses. b. Compute the value of the test statistic. Find the P-value and state your conclusion. a. C.

An automobile manufacturer wishes to compare the lifetimes of two brands of tire. She obtains samples of seven tires of each brand. On each of seven cars, she mounts one tire of each brand on each front wheel. The cars are driven until only 20% of the original tread remains. The distances, in miles, for each tire are presented in the following table. Can you conclude that there is a difference between the mean lifetimes of the two brands of tire? Car Brand 1 Brand 2 36,925 34,318 2 45,300 42,280 3 36,240 35,500 4 32,100 31,950 37,210 38,015 48,360 47,800 38,200 33,215 State the appropriate null and alternate hypotheses. b. Compute the value of the test statistic. Find the P-value and state your conclusion. a. C.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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An automobile manufacturer wishes to compare the lifetimes of two brands of tire. She obtains samples of seven tires of each brand. On each of seven cars, she mounts one tire of each brand on each front wheel. The cars are driven until only 20% of the original tread remains. The distances, in miles, for each tire are presented in the following table. Can you conclude that there is a difference between the mean lifetimes of the two brands of tire? Car Brand 1 Brand 2 36,925 34,318 2 45,300 42,280 3 36,240 35,500 4 32,100 31,950 37,210 38,015 48,360 47,800 38,200 33,215 State the appropriate null and alternate hypotheses. b. Compute the value of the test statistic. Find the P-value and state your conclusion. a. C.
Transcribed Image Text:An automobile manufacturer wishes to compare the lifetimes of two brands of tire. She obtains samples of seven tires of each brand. On each of seven cars, she mounts one tire of each brand on each front wheel. The cars are driven until only 20% of the original tread remains. The distances, in miles, for each tire are presented in the following table. Can you conclude that there is a difference between the mean lifetimes of the two brands of tire? Car Brand 1 Brand 2 36,925 34,318 2 45,300 42,280 3 36,240 35,500 4 32,100 31,950 37,210 38,015 48,360 47,800 38,200 33,215 State the appropriate null and alternate hypotheses. b. Compute the value of the test statistic. Find the P-value and state your conclusion. a. C.
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