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.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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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