Answered: A particular brand of tires claims that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Topic Video

Question

can someone help explain how to solve this? thanks

$A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 30 tires surveyed, the mean lifespan was 46,100 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) --- ### Parts of the Problem: **Part (a):** (Not specified in the provided text.) **Part (b):** (Not specified in the provided text.) **Part (c):** (Not specified in the provided text.) --- **Part (d):** **State the distribution to use for the test.** (Round your answers to two decimal places.) \[ \bar{X} \sim ( \text{Answer: } \_\_\_\_\_\_\_ , \_\_\_\_\_\_\_ ) \] --- **Part (e):** **What is the test statistic?** (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) \[ \text{Select the distribution: } \_\_\_\_\_\_\_ = \] --- **Part (f):** **What is the p-value?** (Round your answer to four decimal places.) \[ \_\_\_\_\_ \] **Explain what the p-value means for this problem.** - O If $ H_0 $ is true, then there is a chance equal to the p-value that the average life span of a tire is 46,100 miles or less. - O If $ H_0 $ is true, then there is a chance equal to the p-value that the average life span of a tire is not 46,100 miles or less. - O If $ H_0 $ is false, then there is a chance equal to the p-value that the average life span of a tire is 46,100 miles or less. - O If $ H_0 $ is false, then there is a chance equal to the p-value that the average life$

Transcribed Image Text:A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 30 tires surveyed, the mean lifespan was 46,100 miles with a standard deviation of 9,800 miles. Using alpha = 0.05, is the data highly consistent with the claim? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) --- ### Parts of the Problem: **Part (a):** (Not specified in the provided text.) **Part (b):** (Not specified in the provided text.) **Part (c):** (Not specified in the provided text.) --- **Part (d):** **State the distribution to use for the test.** (Round your answers to two decimal places.) \[ \bar{X} \sim ( \text{Answer: } \_\_\_\_\_\_\_ , \_\_\_\_\_\_\_ ) \] --- **Part (e):** **What is the test statistic?** (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) \[ \text{Select the distribution: } \_\_\_\_\_\_\_ = \] --- **Part (f):** **What is the p-value?** (Round your answer to four decimal places.) \[ \_\_\_\_\_ \] **Explain what the p-value means for this problem.** - O If $ H_0 $ is true, then there is a chance equal to the p-value that the average life span of a tire is 46,100 miles or less. - O If $ H_0 $ is true, then there is a chance equal to the p-value that the average life span of a tire is not 46,100 miles or less. - O If $ H_0 $ is false, then there is a chance equal to the p-value that the average life span of a tire is 46,100 miles or less. - O If $ H_0 $ is false, then there is a chance equal to the p-value that the average life

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Research Design Formulation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions