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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 o $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 H, and H- Which of the following correctly states H, and H,? ΟΑ. Hρ:μ= S21,000 Ha:u> $21,000 О в. Но и2 $21,000 Hg:H<$21,000 Vc. Họ: u= $21,000 H:u# $21,000 O D. Ho: u> $21,000 H:us $21,000 O E. Ho: u= $21,000 H3:u<$21,000 OF. Ho: µ#$21,000 H:u= $21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = -2.861, 2.861 (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< t< -2.861 and t> 2.861 O D.

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 o $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 H, and H- Which of the following correctly states H, and H,? ΟΑ. Hρ:μ= S21,000 Ha:u> $21,000 О в. Но и2 $21,000 Hg:H<$21,000 Vc. Họ: u= $21,000 H:u# $21,000 O D. Ho: u> $21,000 H:us $21,000 O E. Ho: u= $21,000 H3:u<$21,000 OF. Ho: µ#$21,000 H:u= $21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = -2.861, 2.861 (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< t< -2.861 and t> 2.861 O D.

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 $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 H, and Ha. Which of the following correctly states Ho and H,? Α H0: μ=$21,000 Ha: > $21,000 B. H0. μ2$21,000 Hai µ< $21,000 'C. Ho:µ= $21,000 Ha: u# $21,000 D. Ho: µ> $21,000 Ha: us $21,000 E. Ho: µ= $21,000 Hai H< $21,000 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 = - 2.861, 2.861 (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.) t> O B. t< O C. t< - 2.861 and t> 2.861 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 $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 H, and Ha. Which of the following correctly states Ho and H,? Α H0: μ=$21,000 Ha: > $21,000 B. H0. μ2$21,000 Hai µ< $21,000 'C. Ho:µ= $21,000 Ha: u# $21,000 D. Ho: µ> $21,000 Ha: us $21,000 E. Ho: µ= $21,000 Hai H< $21,000 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 = - 2.861, 2.861 (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.) t> O B. t< O C. t< - 2.861 and t> 2.861 O D. <t< (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.)
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