According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is miles with a standard deviation of 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, , is less than miles. He takes a random sample of cars under the new contracts. The cars in the sample had a mean of annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 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 answer the questions below.Carry your intermediate computations to three or more decimal places, and round your responses asspecified below.(a) State the null hypothesis and the alternative hypothesis .H0:H1:(b) Determine the type of test statistic to use.ZtChi-SquareFDegrees of freedom (if applicable):(c) Find the value of the test statistic. (Round to three or more decimal places.)(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 underthe new contracts is less than miles?YesNo Question 3 of 7According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is12,360 miles with a standard deviation of 1260 miles. The company recently starting using newcontracts which require customers to have the cars serviced at their own expense. The company's ownerbelieves the mean number of miles driven annually under the new contracts, L. is less than 12,360miles. He takes a random sample of 20 cars under the new contracts. The cars in the sample had amean of 11,718 annual miles driven. Assume that the population is normally distributed. Is theresupport for the claim, at the 0.10 level of significance, that the population mean number of miles drivenannually by cars under the new contracts, is less than 12,360 miles? Assume that the populationstandard deviation of miles driven annually was not affected by the change to the contracts.Perform a one-tailed test. Then answer the questions below.Carry your intermediate computations to three or more decimal places, and round your responses asspecified below.(a) State the null hypothesis H, and the alternative hypothesis H,.Họ:H1:(b) Determine the type of test statistic to use.•z• tChi-Square• FDegrees of freedom (if applicable):(c) Find the value of the test statistic. (Round to three or more decimal places.)(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 underthe new contracts is less than 12,360 miles?• Yeş• No

a) Denote μ as the population mean number of miles driven annually under the new contracts.

According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 12,360 miles with a standard deviation of 1260 miles. The company recently starting using new contracts which require customers to have the cars serviced at their own expense. The company's owne believes the mean number of miles driven annually under the new contracts, H, is less than 12,360 miles. He takes a random sample of 20 cars under the new contracts. The cars in the sample had a mean of 11,718 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 driver annually by cars under the new contracts, is less than 12,360 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 answer the questions below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: H1: (b) Determine the type of test statistic to use. •t • Chi-Square • F Degrees of freedom (if applicable): (c) Find the value of the test statistic. (Round to three or more decimal places.) (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 12,360 miles? • Yes • No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

See similar textbooks

Related questions

Question

100%

According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is miles with a standard deviation of 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, , is less than miles. He takes a random sample of cars under the new contracts. The cars in the sample had a mean of annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 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 answer the questions below.
Carry your intermediate computations to three or more decimal places, and round your responses as
specified below.
(a) State the null hypothesis and the alternative hypothesis .
H0:
H1:
(b) Determine the type of test statistic to use.
Zt
Chi-Square
F
Degrees of freedom (if applicable):
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(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 miles?
Yes
No

Question 3 of 7
According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is
12,360 miles with a standard deviation of 1260 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, L. is less than 12,360
miles. He takes a random sample of 20 cars under the new contracts. The cars in the sample had a
mean of 11,718 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 12,360 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 answer the questions below.
Carry your intermediate computations to three or more decimal places, and round your responses as
specified below.
(a) State the null hypothesis H, and the alternative hypothesis H,.
Họ:
H1:
(b) Determine the type of test statistic to use.
•z
• t
Chi-Square
• F
Degrees of freedom (if applicable):
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(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 12,360 miles?
• Yeş
• No

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution