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 of 22 similar vehicles has a mean price of ​$22,584 and a standard deviation of ​$1936. Is there enough evidence to reject the claim at α=0.05​? 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
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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 of
22
similar vehicles has a mean price of
​$22,584
and a standard deviation of
​$1936.
Is there enough evidence to reject the claim at
α=0.05​?
Complete parts​ (a) through​ (e) below. Assume the population is normally distributed.
 
 
 

Question content area bottom

Part 1
​(a) Write the claim mathematically and identify
H0
and
Ha.
 
Which of the following correctly states
H0
and
Ha​?
 
 
A.
H0​:
μ≠​$22,000
Ha​:
μ=​$22,000
 
B.
H0​:
μ=​$22,000
Ha​:
μ>​$22,000
 
C.
H0​:
μ=​$22,000
Ha​:
μ≠​$22,000
Your answer is correct.
 
D.
H0​:
μ>​$22,000
Ha​:
μ≤​$22,000
 
E.
H0​:
μ≥​$22,000
Ha​:
μ<​$22,000
 
F.
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.)
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