Answered: A leasing firm claims that the mean…

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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Question

A leasing firm claims that the mean number of miles driven annually,

, in its leased cars is less than

12580

miles. A random sample of

cars leased from this firm had a mean of

11789

annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is

1640

miles. Assume that the population is normally distributed. Is there support for the firm's claim at the

0.01

level of significance?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The critical value at the 0.01 level of significance: (Round to at least three decimal places.)
Can we support the leasing firm's claim that the mean number of miles driven annually is less than 12580 miles?	Yes	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.

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