According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,400 miles with a standard deviation of 2780 miles. TH company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the T number of miles driven annually under the new contracts, u, is less than 12,400 miles. He takes a random sample of 14 cars under the new contracts. The ca in the sample had a mean of 11,812 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.05 levelL significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,400 miles? Assume that the populatie 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 H. H, :0 H:0 (b) Determine the type of test statistic to use. D=0 OsO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O
According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,400 miles with a standard deviation of 2780 miles. TH company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owner believes the T number of miles driven annually under the new contracts, u, is less than 12,400 miles. He takes a random sample of 14 cars under the new contracts. The ca in the sample had a mean of 11,812 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.05 levelL significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,400 miles? Assume that the populatie 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 H. H, :0 H:0 (b) Determine the type of test statistic to use. D=0 OsO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) O
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,400 miles with a standard deviation of 2780 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, is less than 12,400 miles. He takes a random sample of 14 cars under the new contracts. The cars
in the sample had a mean of 11,812 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.05 level of
significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,400 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 H,.
H, :0
H :0
(b) Determine the type of test statistic to use.
D=0
ロSロ
O20
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical 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 12.400 miles?
Yes No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c748444-8182-4e4a-87f7-807bdafb4763%2Fcddc6a3d-7023-4c4d-9fff-17a2abfff440%2Fhopn0u9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,400 miles with a standard deviation of 2780 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, is less than 12,400 miles. He takes a random sample of 14 cars under the new contracts. The cars
in the sample had a mean of 11,812 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.05 level of
significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 12,400 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 H,.
H, :0
H :0
(b) Determine the type of test statistic to use.
D=0
ロSロ
O20
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical 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 12.400 miles?
Yes No
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