A used car dealer says that the mean price of a three-year-old sports utility vehicle is$22,000.You suspect this claim is incorrect and find that a random sample of22similar vehicles has a mean price of$22,584and a standard deviation of$1936.Is there enough evidence to reject the claim atα=0.05?Complete parts (a) through (e) below. Assume the population is normally distributed. Question content area bottomPart 1(a) Write the claim mathematically and identifyH0andHa. Which of the following correctly statesH0andHa? A.H0:μ≠$22,000Ha:μ=$22,000 B.H0:μ=$22,000Ha:μ>$22,000 C.H0:μ=$22,000Ha:μ≠$22,000Your answer is correct. D.H0:μ>$22,000Ha:μ≤$22,000 E.H0:μ≥$22,000Ha:μ<$22,000 F.H0:μ=$22,000Ha:μ<$22,000Part 2(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(Use a comma to separate answers as needed. Round to three decimal places as needed.)

Answered: used car dealer says that the mean…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

See similar textbooks

Question content area bottom

Part 1

(a) Write the claim mathematically and identify

and

Ha.

Which of the following correctly states

and

Ha?

H0:

μ≠$22,000

Ha:

μ=$22,000

H0:

μ=$22,000

Ha:

μ>$22,000

H0:

μ=$22,000

Ha:

μ≠$22,000

Your answer is correct.

H0:

μ>$22,000

Ha:

μ≤$22,000

H0:

μ≥$22,000

Ha:

μ<$22,000

H0:

μ=$22,000

Ha:

μ<$22,000

Part 2

(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

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

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.

Expert Solution