Aused car dealer says that the mean price of a three-year-old sports utility vehicle is $23,000. You suspect this daim is incorrect and find that a random sample of 21 similar vehidles has a mean price of $23,626 and a standard deviation of $1978. Is there enough evidence to reject the claim at a=0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.
Aused car dealer says that the mean price of a three-year-old sports utility vehicle is $23,000. You suspect this daim is incorrect and find that a random sample of 21 similar vehidles has a mean price of $23,626 and a standard deviation of $1978. Is there enough evidence to reject the claim at a=0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.
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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Transcribed Image Text:A used car dealer says that the mean price of a three-year-old sports utility vehicle is $23,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehidles has a mean price of $23,626 and a standard deviation of
$1978. 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: u#$23,000
H:u= $23,000
O B. Ho: = $23,000
H:u<$23,000
c. Hạ: u= $23,000
H u# $23,000
O D. Ho: u2 $23,000
H:u<$23,000
O E. Ho: u> $23,000
H: us $23,000
OF. Ho: u= $23,000
Hp> $23,000
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), to?
to- -2.845,2.845
(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 B. t>
YA. t< -2.845 and t> 2.845
OD. <t<
OC. t<
(c) Find the standardized test statistic t.
t= (Round to two decimal places as needed.)
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