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 $21,835 and a standard deviation of $1954. 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 Ha. Which of the following correctly states Ho and Ha? O A. Ho: H> $21,000 Ha: us $21,000 O B. Ho: H = $21,000 Ha:H<$21,000 O C. Ho: u# $21,000 Ha: H= $21,000 O D. Ho: H= $21,000 YE H : μ= S21,000 ΟΕ Ho: μ2 $21,000 Ha:H< $21,000 Ha:u> $21,000 Ha: H#$21,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to (Use a comma to separate answers as needed. Round to three decimal places as needed.)

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 $21,835 and a standard deviation of $1954. 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 Ha
Which of the following correctly states Ho and H,?
O A. Ho: H> $21,000
OC. Ho: H# $21,000
O B. Ho: H= $21,000
Ha: H< $21,000
Ha: us $21,000
Ha:u = $21,000
F. Ho: H = $21,000
Ο D. H0: μ= $21,000
Ha: µ> $21,000
O E. Ho: H2 $21,000
Ha:H< $21,000
Hạ: H#$21,000
(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.)
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 $21,835 and a standard deviation of $1954. 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 Ha Which of the following correctly states Ho and H,? O A. Ho: H> $21,000 OC. Ho: H# $21,000 O B. Ho: H= $21,000 Ha: H< $21,000 Ha: us $21,000 Ha:u = $21,000 F. Ho: H = $21,000 Ο D. H0: μ= $21,000 Ha: µ> $21,000 O E. Ho: H2 $21,000 Ha:H< $21,000 Hạ: H#$21,000 (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.)
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