A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 13,240 miles. A random sample of 90 ars leased from this firm had a mean of 12,855 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1360 miles. Is there support for the firm's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, 0 H:0 Do (b) Determine the type of test statistic to use. D=0 OSO 口とロ (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) D>O (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the leasing firm's claim that the mean number of miles driven annually is less than 13,240 miles? O Yes ONo
A leasing firm claims that the mean number of miles driven annually, u, in its leased cars is less than 13,240 miles. A random sample of 90 ars leased from this firm had a mean of 12,855 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1360 miles. Is there support for the firm's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, 0 H:0 Do (b) Determine the type of test statistic to use. D=0 OSO 口とロ (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) D>O (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the leasing firm's claim that the mean number of miles driven annually is less than 13,240 miles? O Yes ONo
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Hypothesis Testing - Educational Example**
A leasing firm claims that the mean number of miles driven annually, \( \mu \), in its leased cars is less than 13,240 miles. A random sample of 90 cars leased from this firm had a mean of 12,855 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1,360 miles. Is there support for the firm's claim at the 0.05 level of significance?
**Perform a one-tailed test. Then complete the parts below.**
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
---
**(a)** State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\( H_0 : \)
\( H_1 : \)
---
**(b)** Determine the type of test statistic to use.
\( \text{(Choose one)} \ \ \downarrow \)
---
**(c)** Find the value of the test statistic. (Round to three or more decimal places.)
\[ \]
---
**(d)** Find the critical value. (Round to three or more decimal places.)
\[ \]
---
**(e)** Can we support the leasing firm's claim that the mean number of miles driven annually is less than 13,240 miles?
\[ \text{Yes} \ \ \ \text{No} \]
---
Use this structured approach to test the hypothesis of the leasing firm accurately, employing the concepts of statistical tests, significance levels, and critical values.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d3f2bfb-a5cc-4b06-99e2-b36f9d38db79%2Fc3efd14d-7e1c-4888-8400-13722ffd26bc%2F00y8k6e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing - Educational Example**
A leasing firm claims that the mean number of miles driven annually, \( \mu \), in its leased cars is less than 13,240 miles. A random sample of 90 cars leased from this firm had a mean of 12,855 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 1,360 miles. Is there support for the firm's claim at the 0.05 level of significance?
**Perform a one-tailed test. Then complete the parts below.**
Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.)
---
**(a)** State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\( H_0 : \)
\( H_1 : \)
---
**(b)** Determine the type of test statistic to use.
\( \text{(Choose one)} \ \ \downarrow \)
---
**(c)** Find the value of the test statistic. (Round to three or more decimal places.)
\[ \]
---
**(d)** Find the critical value. (Round to three or more decimal places.)
\[ \]
---
**(e)** Can we support the leasing firm's claim that the mean number of miles driven annually is less than 13,240 miles?
\[ \text{Yes} \ \ \ \text{No} \]
---
Use this structured approach to test the hypothesis of the leasing firm accurately, employing the concepts of statistical tests, significance levels, and critical values.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
