Aused 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 22 similar vehicles has a mean price of $23.691 and a standard deviation of $1911. 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 H, and Ha. Which of the following correctly states Ho and H,? O A. Ho: u= $23,000 H, u<$23,000 O B. Ho: u> $23,000 H, ps$23,000 OC. Ho: u#$23,000 H u= $23,000 OF. Ho: u2 $23,000 O D. Ho: p= $23,000 H u# $23,000 O E. Ho: u= 523,000 H p> $23,000 H u< $23,000 (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.) 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> O D. Next 11:32 PM 40 11/4/2021 46°F O Type here to search backsoc 6. ER

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Aused 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 22 similar vehicles has a mean price of $23.691 and a standard
deviation of $1911. Is there enough evidence to reject the claim at a =0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.
(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.
O A. Fail to reject H, because the test statistic is in the rejection region(s).
O B. Reject Ho because the test statistic is not in the rejection region(s).
O C. Fail to reject H, because the test statistic is not in the rejection region(s).
O D. Reject H, because the test statistic is in the rejection region(s).
(e) Interpret the decision in the context of the original claim.
O A. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $23,000.
O B. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $23.000.
O C. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $23,000.
O D. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $23.000.
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Transcribed Image Text:Aused 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 22 similar vehicles has a mean price of $23.691 and a standard deviation of $1911. Is there enough evidence to reject the claim at a =0.01? Complete parts (a) through (e) below. Assume the population is normally distributed. (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. O A. Fail to reject H, because the test statistic is in the rejection region(s). O B. Reject Ho because the test statistic is not in the rejection region(s). O C. Fail to reject H, because the test statistic is not in the rejection region(s). O D. Reject H, because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. O A. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $23,000. O B. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $23.000. O C. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $23,000. O D. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $23.000. Next 11:32 PM 46°F 11/4/2021 P Type here to séarch
Aused 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 22 similar vehicles has a mean price of $23.691 and a standard
deviation of $1911. 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 H, and Ha.
Which of the following correctly states Ho and H,?
O A. Ho: = $23,000
H u<$23,000
O D. Ho: u= $23,000
H u# $23,000
O B. Ho: u> $23,000
H us$23,000
OC. Ho: u# $23,000
H u= $23,000
OF. Ho: H2 $23,000
Hu< $23,000
O E. Ho u= $23,000
H p> $23,000
(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 B. t>
O D. <t<]
O A. t<
O C. t< and t>
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40 11/4/2021
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Transcribed Image Text:Aused 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 22 similar vehicles has a mean price of $23.691 and a standard deviation of $1911. 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 H, and Ha. Which of the following correctly states Ho and H,? O A. Ho: = $23,000 H u<$23,000 O D. Ho: u= $23,000 H u# $23,000 O B. Ho: u> $23,000 H us$23,000 OC. Ho: u# $23,000 H u= $23,000 OF. Ho: H2 $23,000 Hu< $23,000 O E. Ho u= $23,000 H p> $23,000 (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 B. t> O D. <t<] O A. t< O C. t< and t> Next 11:32 PM 40 11/4/2021 46°F P Type here to search backspace ER
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