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 randon sample of 24 similar vehicles has a mean price of $21,773 and a standard deviation of $1996. Is there enough evidence to reject the claim at a = 0.10? 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 H, and H ? Ho: µz $21,000 Ho # $21,000 Ha:= S21,000 Ho: = $21,000 Hu $21,000 Hp<$21,000 OD Ho: > $21,000 Ho = $21,000 Hu< $21,000 Ho: H = $21,000 H3:us$21,000 Ha:> $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.)

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 24 similar vehicles has a mean price of $21,773 and a standard deviation of $1996. Is there enough evidence to reject the claim at a = 0.10?
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 H, and H ?
Ho: µ2 $21,000
Ha:<$21,000
Ho: u # $21,000
Ha: µ = $21,000
Ho: u = $21,000
H u#$21,000
OD. Ho: > $21,000
H:us $21,000
Ho: H = $21,000
Ha:u > $21,000
Ho: p= $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?
(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 24 similar vehicles has a mean price of $21,773 and a standard deviation of $1996. Is there enough evidence to reject the claim at a = 0.10? 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 H, and H ? Ho: µ2 $21,000 Ha:<$21,000 Ho: u # $21,000 Ha: µ = $21,000 Ho: u = $21,000 H u#$21,000 OD. Ho: > $21,000 H:us $21,000 Ho: H = $21,000 Ha:u > $21,000 Ho: p= $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? (Use a comma to separate answers as needed. Round to three decimal places as needed.)
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