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 2640 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 mea number of miles driven annually under the new contracts, μ, is less than 12,880 miles. He takes a random sample of 90 cars under the new contracts. The cars in the sample had a mean of 12,107 annual miles driven. 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.) (a) State the null hypothesis H. and the alternative hypothesis H₁. H:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (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? O Yes O No I X 5 O X S 2 00 < Р =O OSO 020 S ô olo >
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 2640 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 mea number of miles driven annually under the new contracts, μ, is less than 12,880 miles. He takes a random sample of 90 cars under the new contracts. The cars in the sample had a mean of 12,107 annual miles driven. 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.) (a) State the null hypothesis H. and the alternative hypothesis H₁. H:0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (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? O Yes O No I X 5 O X S 2 00 < Р =O OSO 020 S ô olo >
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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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 2640 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 90 cars under the new contracts. The cars
in the sample had a mean of 12,107 annual miles driven. 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.)
(a) State the null hypothesis H and the alternative hypothesis H₁.
H:0
H₁:0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the p-value. (Round to three or more decimal places.)
0
(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?
O Yes O No
Check
H
7
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OSO 020
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