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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 daim is incorrect and find that a random sample of 21 similar vehidles has a mean price of $23,626 and a standard deviation of $1978. Is there enough evidence to reject the claim at a=0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.

Aused car dealer says that the mean price of a three-year-old sports utility vehicle is $23,000. You suspect this daim is incorrect and find that a random sample of 21 similar vehidles has a mean price of $23,626 and a standard deviation of $1978. Is there enough evidence to reject the claim at a=0.01? Complete parts (a) through (e) below. Assume the population is normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A used 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 21 similar vehidles has a mean price of $23,626 and a standard deviation of $1978. 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 H, Which of the following correctly states Ho and H, ? O A. Ho: u#$23,000 H:u= $23,000 O B. Ho: = $23,000 H:u<$23,000 c. Hạ: u= $23,000 H u# $23,000 O D. Ho: u2 $23,000 H:u<$23,000 O E. Ho: u> $23,000 H: us $23,000 OF. Ho: u= $23,000 Hp> $23,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to- -2.845,2.845 (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> YA. t< -2.845 and t> 2.845 OD. <t< OC. 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 $23,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehidles has a mean price of $23,626 and a standard deviation of $1978. 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 H, Which of the following correctly states Ho and H, ? O A. Ho: u#$23,000 H:u= $23,000 O B. Ho: = $23,000 H:u<$23,000 c. Hạ: u= $23,000 H u# $23,000 O D. Ho: u2 $23,000 H:u<$23,000 O E. Ho: u> $23,000 H: us $23,000 OF. Ho: u= $23,000 Hp> $23,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to- -2.845,2.845 (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> YA. t< -2.845 and t> 2.845 OD. <t< OC. t< (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.)
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