According to a leasing firm's reports, the mean number of miles driven annually in its leased cars is 13,000 miles with a standard deviation of 3320 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 13,000 miles. He takes a random sample of 46 cars under the new contracts. The cars in the sample had a mean of 11,671 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.01 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 13,000 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. A. State the null hypothesis H0 and the alternative hypothesis H1 B. Find the value of the test statistic. (Round to three or more decimal places.) C. Find the critical value. (Round to three or more decimal places.)

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 13,000 miles with a standard deviation of 3320 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 13,000 miles. He takes a random sample of 46 cars under the new contracts. The cars in the sample had a mean of 11,671 annual miles driven. Assume that the population is normally distributed. Is there support for the claim, at the 0.01 level of significance, that the population mean number of miles driven annually by cars under the new contracts, is less than 13,000 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.

A. State the null hypothesis H0 and the alternative hypothesis H1

B. Find the value of the test statistic. (Round to three or more decimal places.)

C. Find the critical value. (Round to three or more decimal places.)

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.

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