12. A used car dealer says that the mean price of a​ three-year-old sports utility vehicle is ​$21,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehicles has a mean price of ​$21,645 and a standard deviation of ​$1903. Is there enough evidence to reject the claim at α=0.10​? 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=​$21,000 Ha​: μ>​$21,000 B. H0​: μ>​$21,000 Ha​: μ≤​$21,000 C. H0​: μ=​$21,000 Ha​: μ<​$21,000 D. H0​: μ≠​$21,000 Ha​: μ=​$21,000 E. H0​: μ=​$21,000 Ha​: μ≠​$21,000 Your answer is correct. F. H0​: μ≥​$21,000 Ha​: μ<​$21,000 Part 2 ​(b) Find the critical​ value(s) and identify the rejection​ region(s). What​ is(are) the critical​ value(s), t0​? t0= ​(Use a comma to separate answers as needed. Round to three decimal places as​ needed.)

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12.

A used car dealer says that the mean price of a​ three-year-old sports utility vehicle is
​$21,000.
You suspect this claim is incorrect and find that a random sample of
21
similar vehicles has a mean price of
​$21,645
and a standard deviation of
​$1903.
Is there enough evidence to reject the claim at
α=0.10​?
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=​$21,000
Ha​:
μ>​$21,000
 
B.
H0​:
μ>​$21,000
Ha​:
μ≤​$21,000
 
C.
H0​:
μ=​$21,000
Ha​:
μ<​$21,000
 
D.
H0​:
μ≠​$21,000
Ha​:
μ=​$21,000
 
E.
H0​:
μ=​$21,000
Ha​:
μ≠​$21,000
Your answer is correct.
 
F.
H0​:
μ≥​$21,000
Ha​:
μ<​$21,000
Part 2
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
What​ is(are) the critical​ value(s),
t0​?
 
t0=
 
​(Use a comma to separate answers as needed. Round to three decimal places as​ needed.)
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