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 21 similar vehícles has a mean price of $19,566 and a standard deviation of $1909. Is there enough evidence to reject the claim at a=0.017 Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and H Which of the following correctly states Ho and H,? OC. Ho: u=$19,000 Hp> $19,000 OF. Ho: p$19.000 Hp=$19,000 O A. Ho: u>$19,000 Hus$19,000 O B. Ho: =$19,000 H<$19,000 O D. Ho: 2$19,000 Hu<$19,000 O E. Ho: u=$19,000 Hr$19,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? 6-0 (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 (Round to three decimal places as needed.) answer box(es) within your choice. OB. t and t> O A. t< O D. 1P OC.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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 21 similar vehícles has a mean price of $19,566 and a standard deviation of
$1909. Is there enough evidence to reject the claim at a=0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.
(a) Write the claim mathematically and identify Ho and H..
Which of the following correctly states Ho and H,?
O A. Ho: H>$19,000
H: us$19,000
O B. Ho: H=$19,000
Hp<$19,000
OC. Ho: =$19,000
Hp>$19,000
O D. Ho: µ2$19,000
Hu<$19,000
O E. Ha: u= $19,000
Hu#$19,000
OF. Ho: u$19,000
Hu= $19,000
(b) Find the critical value(s) and identify the rejection region(s)
What is(are) the critical value(s), to?
(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.)
O A. t<
OB. t<
and t>
O D. 1>
Oc.
<t<
(c) Find the standardized test statistic t.
t=| |(Round to two decimal olaces as needed.)
Transcribed Image Text: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 21 similar vehícles has a mean price of $19,566 and a standard deviation of $1909. Is there enough evidence to reject the claim at a=0.01? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and H.. Which of the following correctly states Ho and H,? O A. Ho: H>$19,000 H: us$19,000 O B. Ho: H=$19,000 Hp<$19,000 OC. Ho: =$19,000 Hp>$19,000 O D. Ho: µ2$19,000 Hu<$19,000 O E. Ha: u= $19,000 Hu#$19,000 OF. Ho: u$19,000 Hu= $19,000 (b) Find the critical value(s) and identify the rejection region(s) What is(are) the critical value(s), to? (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.) O A. t< OB. t< and t> O D. 1> Oc. <t< (c) Find the standardized test statistic t. t=| |(Round to two decimal olaces as needed.)
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 21 similar vehicles has a mean price of $19,566 and a standard deviation of
$1909. Is there enough evidence to reject the claim at a = 0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.
(Rouna to uree oecTIai piaces as neeuea.)
O A. t<
O B
t< and t>
Oc. <t<
OD. >
(c) Find the standardized test statistic t.
t= (Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Reject Ho because the test statistic is not in the rejection region(s).
O B. Fail to reject Ho because the test statistic is in the rejection region(s).
O C. Fail to reject Ho because the test statistic is not in the rejection region(s).
O D. Reject Ho because the test statistic is in the rejection region(s).
(e) Interpret the decision in the context of the original claim.
O A. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $19,000.
O B. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $19,000.
O C. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $19,000.
O D. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $19,000.
Transcribed Image Text: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 21 similar vehicles has a mean price of $19,566 and a standard deviation of $1909. Is there enough evidence to reject the claim at a = 0.01? Complete parts (a) through (e) below. Assume the population is normally distributed. (Rouna to uree oecTIai piaces as neeuea.) O A. t< O B t< and t> Oc. <t< OD. > (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho because the test statistic is not in the rejection region(s). O B. Fail to reject Ho because the test statistic is in the rejection region(s). O C. Fail to reject Ho because the test statistic is not in the rejection region(s). O D. Reject Ho because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. O A. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $19,000. O B. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $19,000. O C. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $19,000. O D. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $19,000.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman