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 25 similar vehicles has a mean price of $21,743 and a stande $1922, Is there enough evidence to reject the claim at a=0.05? 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: 2 $21,000 O B. Ho: = $21,000 Hip#$21,000 OC. Ho: = $21,000 H: > $21,000 Hu<$21,000 O D. Ho: H> $21,000 H:us$21,000 O E. Ho: u=$21,000 H:p<$21,000 OF. Ho: u#$21,000 H $21,000 (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.) OA t> O B. t< and t> Oc.

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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
$1922. Is there enough evidence to reject the claim at a= 0.05? Complete parts (a) through (e) below. Assume the population is normally distributed.
incorrect and find that a random sample of 25 similar vehides has a mean price of $21,743 and a standard deviation of
(a) Write the claim mathematically and identify H, and H.
Which of the following correctly states H, and H,?
O A. Hp: µ2 $21,000
H:u< $21,000
OC. Ho: u= $21,000
H,: u> $21,000
O B. Ho: u= $21,000
H: u# $21,000
OF. Ho: #$21,000
H:= $21,000
O D. Ho: > $21,000
O E. Ho: u= $21,000
H: us$21,000
H:p< $21,000
(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< andt>
Oc. <t<
OD. t<
(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
Click to select your answer(s).
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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 $21,000. You suspect this claim $1922. Is there enough evidence to reject the claim at a= 0.05? Complete parts (a) through (e) below. Assume the population is normally distributed. incorrect and find that a random sample of 25 similar vehides has a mean price of $21,743 and a standard deviation of (a) Write the claim mathematically and identify H, and H. Which of the following correctly states H, and H,? O A. Hp: µ2 $21,000 H:u< $21,000 OC. Ho: u= $21,000 H,: u> $21,000 O B. Ho: u= $21,000 H: u# $21,000 OF. Ho: #$21,000 H:= $21,000 O D. Ho: > $21,000 O E. Ho: u= $21,000 H: us$21,000 H:p< $21,000 (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< andt> Oc. <t< OD. t< (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 Click to select your answer(s). MacBook Alr esc & %23 24 08 9. 2 3 4. 5 R T U W tab く 6
(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Fail to reject Ho because the test statistic is in the rejection region(s).
O B. Fail to reject Ho because the test statistic is not in the rejection region(s).
O C. Reject Ho because the test statistic is in the rejection region(s).
O D. Reject H, because the test statistic is not in the rejection region(s).
(e) Interpret the decision in the context of the original claim.
O A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $21,000.
O B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $21,000.
O C. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $21,000.
O D. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $21,000.
Click to select your answer(s).
MacBook
D00
DO0 FA
esc
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4.
Transcribed Image Text:(d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject Ho because the test statistic is in the rejection region(s). O B. Fail to reject Ho because the test statistic is not in the rejection region(s). O C. Reject Ho because the test statistic is in the rejection region(s). O D. Reject H, because the test statistic is not in the rejection region(s). (e) Interpret the decision in the context of the original claim. O A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $21,000. O B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $21,000. O C. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $21,000. O D. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $21,000. Click to select your answer(s). MacBook D00 DO0 FA esc F2 24 2 3 4.
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