According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,880 miles with a standard deviation of 2980 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, μ, is less than 12,880 miles. He takes a random sample of 44 cars under the new contracts. The cars in the sample had a mean of 12,330 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.01 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,880 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 12,880 miles? OYes O No F x O S ローロ OSO ロメロ ロ<ロ P

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Author:Amos Gilat
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According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,880 miles with a
standard deviation of 2980 miles. The company recently starting using new contracts which require customers to have the
cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the
new contracts, U, less than 12,880 miles. He takes a random sample 44 cars under the new contracts. The cars in
the sample had a mean of 12,330 annual miles driven. Assume that the population is normally distributed. Is there
support for the claim, at the 0.01 level of significance, that the population mean number of miles driven annually by cars
under the new contracts, is less than 12,880 miles? Assume that the population standard deviation of miles driven
annually was not affected by the change to the contracts.
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If
necessary, consult a list of formulas.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the claim that the population mean number of miles driven
annually by cars under the new contracts is less than 12,880 miles?
OYes O No
μ
|x
X
9
a
ローロ
06
OSO
☐*0 ロ<ロ
D
<Q
00
020
>O
Transcribed Image Text:According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,880 miles with a standard deviation of 2980 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the mean number of miles driven annually under the new contracts, U, less than 12,880 miles. He takes a random sample 44 cars under the new contracts. The cars in the sample had a mean of 12,330 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.01 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,880 miles? Assume that the population standard deviation of miles driven annually was not affected by the change to the contracts. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 12,880 miles? OYes O No μ |x X 9 a ローロ 06 OSO ☐*0 ロ<ロ D <Q 00 020 >O
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