(c) Find the standardized test statistic t. ..... t= 1.70 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject Ho because the test statistic is in the rejection region(s). O B. Reject H, because the test statistic is not in the rejection region(s). O C. Fail to reject Ho because the test statistic is not in the rejection region(s). O D. Reject H, because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. O A. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $23,000. B. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $23,000 C. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $23,000. D. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $23,000.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
Answer These questions D and E
A used car dealer says that the mean price of a three-year-old sports utility vehicle is $23,000. You suspect the claim is incorrect and find that a random sample of 22 similar vehicles has a mean price of $23,691 and a standard deviation of $1911. Is there enough evidence to reject the claim at \(\alpha = 0.01\)? Complete parts (a) through (e) below. Assume the population is normally distributed.

(c) Find the standardized test statistic \(t\).

\(t = 1.70\) (Round to two decimal places as needed)

(d) Decide whether to reject or fail to reject the null hypothesis. 

- A. Fail to reject \(H_0\) because the test statistic is in the rejection region(s).
- B. Reject \(H_0\) because the test statistic is not in the rejection region(s).
- C. Fail to reject \(H_0\) because the test statistic is not in the rejection region(s).
- D. Reject \(H_0\) because the test statistic is in the rejection region(s).

(e) Interpret the decision in the context of the original claim.

- A. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $23,000.
- B. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $23,000.
- C. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $23,000.
- D. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $23,000.
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 the claim is incorrect and find that a random sample of 22 similar vehicles has a mean price of $23,691 and a standard deviation of $1911. Is there enough evidence to reject the claim at \(\alpha = 0.01\)? Complete parts (a) through (e) below. Assume the population is normally distributed. (c) Find the standardized test statistic \(t\). \(t = 1.70\) (Round to two decimal places as needed) (d) Decide whether to reject or fail to reject the null hypothesis. - A. Fail to reject \(H_0\) because the test statistic is in the rejection region(s). - B. Reject \(H_0\) because the test statistic is not in the rejection region(s). - C. Fail to reject \(H_0\) because the test statistic is not in the rejection region(s). - D. Reject \(H_0\) because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. - A. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $23,000. - B. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is $23,000. - C. At the 1% level of significance, there is not sufficient evidence to reject the claim that the mean price is $23,000. - D. At the 1% level of significance, there is sufficient evidence to reject the claim that the mean price is not $23,000.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON