Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Christine is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km ) driven on them before they need to be replaced.
Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Christine is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of
) driven on them before they need to be replaced.
In the company's testing lab, Christine tests a random sample of
Puma tires and a random sample of
Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of
) until they would need to be replaced is
with a sample variance of
. For the Eternal tires, the sample mean distance (in
) until they would need to be replaced is
with a sample variance of
.
Assume that the two populations of distances driven are approximately
level of significance, that there is a difference between the population mean of the distances (in thousands of
) driven on Puma tires before they need to be replaced and the population mean of the distances (in thousands of
) driven on Eternal tires before they need to be replaced?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
| (a) | State the null hypothesis
H0
H1
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H0:
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H1:
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| (b) | Determine the type of test statistic to use. | |
| ▼(Choose one) |
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| (c) | Find the value of the test statistic. (Round to three or more decimal places.) | |
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| (d) | Find the p-value. (Round to three or more decimal places.) | |
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| (e) | At the
0.05
km
km
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