Answered: A used car dealer says 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 used car dealer says that the mean price of a three-year-old sports utility vehicle is

$19,000.

You suspect this claim is incorrect and find that a random sample of

similar vehicles has a mean price of

$19,580

and a standard deviation of

$1921.

Is there enough evidence to reject the claim at

α=0.01?

Complete parts (a) through (e) below. Assume the population is normally distributed.

(a) Write the claim mathematically and identify

and

Ha.

Which of the following correctly states

and

Ha?

H0:

μ=$19,000

Ha:

μ≠$19,000

This is the correct answer.

H0:

μ>$19,000

Ha:

μ≤$19,000

Your answer is not correct.

H0:

μ≥$19,000

Ha:

μ<$19,000

H0:

μ=$19,000

Ha:

μ>$19,000

H0:

μ≠$19,000

Ha:

μ=$19,000

H0:

μ=$19,000

Ha:

μ<$19,000

(b) Find the critical value(s) and identify the rejection region(s).

What is(are) the critical value(s),

t0?

t0=enter your response here

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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