Accarding to a leasing firm's reports, the mean rumber of miles driven annually in its leased cars is 12,560 miles with a standard deviation of 1720 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, j, is tess than 12,560 miles. He takes a random sample of 50 cars under the new contracts. The cars in the sampie had a mean of 12,145 annual miles driven. Assume that the population is normaly distributed. Is there support for the claim, at the 0.10 level of signifiance, that the population mean number of mles driven annually by cars under the new contracts, is less than 12,560 miles? Assume that the population standard devlation of miles driven annually was not affected by the change to the contracts Perform a one-tailed test. Then complete the parts below. Corry 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 H O. 合 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 mare decimal places.) bx

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
icon
Related questions
Question
Accarding to a leasing fiem's reports, the mean rurmber of miles deiven annually in its leased cars is 12,560 miles with a standard deviation of 1720 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 annualiy under the new contracts, . is tess than 12.560 miles. He takes a random sample of 50 cars under the new contracts.
The cars in the sample had a mean of 12,145 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.10
level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,560 miles? Assume that the
ponulation standard devlation of miles driven annually was not affected by the change to the contracts.
Perform a one-talled test. Then complete the parts below.
Corry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a ist of formulas.)
(a) State the null hypothesis H and the alternative hypothesis H
H, :0
(b) Determine the type of test statistic to use.
(Choose one)
口ロ
(c) Find the value of the test statistic. (Round to three or more decimal places.)
ORD
(d) Find the p-value. (Round to three or more decimal places.)
Check
Transcribed Image Text:Accarding to a leasing fiem's reports, the mean rurmber of miles deiven annually in its leased cars is 12,560 miles with a standard deviation of 1720 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 annualiy under the new contracts, . is tess than 12.560 miles. He takes a random sample of 50 cars under the new contracts. The cars in the sample had a mean of 12,145 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.10 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,560 miles? Assume that the ponulation standard devlation of miles driven annually was not affected by the change to the contracts. Perform a one-talled test. Then complete the parts below. Corry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a ist of formulas.) (a) State the null hypothesis H and the alternative hypothesis H H, :0 (b) Determine the type of test statistic to use. (Choose one) 口ロ (c) Find the value of the test statistic. (Round to three or more decimal places.) ORD (d) Find the p-value. (Round to three or more decimal places.) Check
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill