Homework Help is Here – Start Your Trial Now!
Math
Statistics
According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,020 miles with a standard deviation of 2580 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 13,020 miles. He takes a random sample of 44 cars under the new contracts. The cars in the sample had a mean of 12,260 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 13.020 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 Ho and the alternative hypothesis H₁. Ho H₁: (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.) μ σ P x S D=0 OSO □≠口 0 (d) Find the p-value. (Round to three or more decimal places.) X (e) Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 13,020 miles? O Yes O No 9

According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,020 miles with a standard deviation of 2580 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 13,020 miles. He takes a random sample of 44 cars under the new contracts. The cars in the sample had a mean of 12,260 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 13.020 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 Ho and the alternative hypothesis H₁. Ho H₁: (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.) μ σ P x S D=0 OSO □≠口 0 (d) Find the p-value. (Round to three or more decimal places.) X (e) Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 13,020 miles? O Yes O No 9

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
None
According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,020 miles with a standard deviation of 2580 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 13,020 miles. He takes a random sample of 44 cars under the new contracts. The cars in the sample had a mean of 12,260 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 13.020 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 Ho and the alternative hypothesis H₁. Ho H₁: (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.) μ σ P x S D=0 OSO □≠口 <P □20 0<0 0>0 (d) Find the p-value. (Round to three or more decimal places.) X (e) Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 13,020 miles? O Yes O No 9
Transcribed Image Text:According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,020 miles with a standard deviation of 2580 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 13,020 miles. He takes a random sample of 44 cars under the new contracts. The cars in the sample had a mean of 12,260 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 13.020 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 Ho and the alternative hypothesis H₁. Ho H₁: (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.) μ σ P x S D=0 OSO □≠口 <P □20 0<0 0>0 (d) Find the p-value. (Round to three or more decimal places.) X (e) Can we support the claim that the population mean number of miles driven annually by cars under the new contracts is less than 13,020 miles? O Yes O No 9
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS