A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 25 similar vehicles has a mean price of $19,648 and a standard deviation of $1915. Is there enough evidence to reject the claim at a = 0.10? Complete parts (a) through (e) below. Assume the population is normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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 $19,000. You suspect this claim is incorrect and find that a random sample of 25
similar vehicles has a mean price of $19,648 and a standard deviation of $1915. Is there enough evidence to reject the claim at a = 0.10? Complete parts (a) through
(e) below. Assume the population is normally distributed.
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.
<t<
O B. t>
O C. t<
and t>
O D. t<
(c) Find the standardized test statistic t.
t3=
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Reject Ho because the test statistic is not in the rejection region(s).
O B. Fail to reject Ho because the test statistic is in the rejection region(s).
Click to select your answer(s).
Transcribed Image Text:A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 25 similar vehicles has a mean price of $19,648 and a standard deviation of $1915. Is there enough evidence to reject the claim at a = 0.10? Complete parts (a) through (e) below. Assume the population is normally distributed. 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. <t< O B. t> O C. t< and t> O D. t< (c) Find the standardized test statistic t. t3= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho because the test statistic is not in the rejection region(s). O B. Fail to reject Ho because the test statistic is in the rejection region(s). Click to select your answer(s).
A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 25
similar vehicles has a mean price of $19,648 and a standard deviation of $1915. 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 Ha.
Which of the following correctly states Ho and H2?
O C. Ho: H2$19,000
Ha:µ<$19,000
Ο Α. H : μ= $19,000
O B. Ho: H#$19,000
Ha: µ#$19,000
Ha:H = $19,000
O E. Ho: H>$19,000
Ha: us$19,000
O F. Ho: H= $19,000
Ha: µ<$19,000
O D. Ho: H= $19,000
Ha: µ>$19,000
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), to?
to = 0
ir----- -- ----
Transcribed Image Text:A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 25 similar vehicles has a mean price of $19,648 and a standard deviation of $1915. 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 Ha. Which of the following correctly states Ho and H2? O C. Ho: H2$19,000 Ha:µ<$19,000 Ο Α. H : μ= $19,000 O B. Ho: H#$19,000 Ha: µ#$19,000 Ha:H = $19,000 O E. Ho: H>$19,000 Ha: us$19,000 O F. Ho: H= $19,000 Ha: µ<$19,000 O D. Ho: H= $19,000 Ha: µ>$19,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = 0 ir----- -- ----
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