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(a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H,? О в. Но: и2 $24,000 H:u< $24,000 Ос. Но: и $24,000 Ha: u#$24,000 O A. Ho: H> $24,000 Hai us $24,000 O D. Ho: H= $24,000 H:u< $24,000 O E. Ho: H+$24,000 H:p= $24,000 OF. Ho: H= $24,000 H:p> $24,000 (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. O B. t> O D. t< (c) Find the standardized test statistic t. t= (Round o two decimal places as needed.)

(a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H,? О в. Но: и2 $24,000 H:u< $24,000 Ос. Но: и $24,000 Ha: u#$24,000 O A. Ho: H> $24,000 Hai us $24,000 O D. Ho: H= $24,000 H:u< $24,000 O E. Ho: H+$24,000 H:p= $24,000 OF. Ho: H= $24,000 H:p> $24,000 (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. O B. t> O D. t< (c) Find the standardized test statistic t. t= (Round o two decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A used car dealer says that the mean price of a three-year-old sports utility vehicle is $24,000. You suspect this claim is incorrect and find that a random sample of 22 similar vehicles has a mean price of $24,623 and a standard deviation of $1964. 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 Ha. Which of the following correctly states Ho and H,? O A. Ho: µ> $24,000 Hai Hs $24,000 B. Ho: µ2 $24,000 Ha:u< $24,000 C. Ho: µ= $24,000 Hai H# $24,000 Ο D. H0: μ= $24,000 Ha: H< $24,000 O E. Ho: µ# $24,000 Ha: µ= $24,000 O F Ho: μ= $24,000 Hai H > $24,000 %3D (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.) A. <t< В. t> O C. t< and t> O D. t< (c) Find the standardized test statistic t. t = (Round to two 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 $24,000. You suspect this claim is incorrect and find that a random sample of 22 similar vehicles has a mean price of $24,623 and a standard deviation of $1964. 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 Ha. Which of the following correctly states Ho and H,? O A. Ho: µ> $24,000 Hai Hs $24,000 B. Ho: µ2 $24,000 Ha:u< $24,000 C. Ho: µ= $24,000 Hai H# $24,000 Ο D. H0: μ= $24,000 Ha: H< $24,000 O E. Ho: µ# $24,000 Ha: µ= $24,000 O F Ho: μ= $24,000 Hai H > $24,000 %3D (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.) A. <t< В. t> O C. t< and t> O D. 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. O A. Fail to reject H, because the test statistic is in the rejection region(s). O B. Reject H, because the test statistic is not in the rejection region(s). O C. Fail to reject Ho because the test statistic is not in the rejection region(s). D. Reject Ho because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $24,000. B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $24,000. C. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $24,000. O D. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $24,000.
Transcribed Image Text:(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 H, because the test statistic is not in the rejection region(s). O C. Fail to reject Ho because the test statistic is not in the rejection region(s). D. Reject Ho because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $24,000. B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $24,000. C. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $24,000. O D. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $24,000.
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