Answered: price of a three-year-old sports…

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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Related questions

Question

22.

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

$20,000.

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

similar vehicles has a mean price of

$20,509

and a standard deviation of

$1973.

Is there enough evidence to reject the claim at

α=0.10?

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=$20,000

Ha:

μ≠$20,000

Your answer is correct.

H0:

μ=$20,000

Ha:

μ>$20,000

H0:

μ≥$20,000

Ha:

μ<$20,000

H0:

μ>$20,000

Ha:

μ≤$20,000

H0:

μ≠$20,000

Ha:

μ=$20,000

H0:

μ=$20,000

Ha:

μ<$20,000

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

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

t0?

t0=negative 1.725 comma 1.725−1.725,1.725

(Use a comma to separate answers as needed. Round to three decimal places as needed.)

Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice.

(Round to three decimal places as needed.)

t<negative 1.725−1.725

and

t>1.7251.725

Your answer is correct.

enter your response here<t<enter your response here

t<enter your response here

t>enter your response here

t=enter your response here

(Round to two decimal places as needed.)

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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