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

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 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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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