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 20 similar vehicles has a mean price of $21,585 and a standard deviation of $1905. 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 Ha. Which of the following correctly states H, and H,? O A. Ho: µ= $21,000 Ha: u> $21,000 O B. Ho: H2 $21,000 Ha:u<$21,000 Oc. Ho: H= $21,000 Ha:µ# $21,000 O D. Ho: µ> $21,000 Haiµs $21,000 O E. Ho: µ= $21,000 Ha: u< $21,000 O F. Ho: µ# $21,000 Ha:u= $21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to =0 (Use a comma to separate answers as needed. Round to three decimal places as needed.)

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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 20
similar vehicles has a mean price of $21,585 and a standard deviation of $1905. 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 Ha.
Which of the following correctly states H, and H,?
A. Ho: µ = $21,000
Hai H > $21,000
B. Ho: µ2 $21,000
Ha: u< $21,000
C. Ho:µ= $21,000
Hai µ# $21,000
%3D
O D. Ho: µ> $21,000
Ha: us $21,000
E. Ho: µ= $21,000
Ha: µ< $21,000
O F. Ho: µ# $21,000
Ha:µ= $21,000
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), to?
to =0
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
Transcribed Image Text: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 20 similar vehicles has a mean price of $21,585 and a standard deviation of $1905. 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 Ha. Which of the following correctly states H, and H,? A. Ho: µ = $21,000 Hai H > $21,000 B. Ho: µ2 $21,000 Ha: u< $21,000 C. Ho:µ= $21,000 Hai µ# $21,000 %3D O D. Ho: µ> $21,000 Ha: us $21,000 E. Ho: µ= $21,000 Ha: µ< $21,000 O F. Ho: µ# $21,000 Ha:µ= $21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to =0 (Use a comma to separate answers as needed. Round to three decimal places as needed.)
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