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A tire company claims that its top selling brand averages at least 50,000 miles before it needs to be replaced. Past studies have shown the standard deviation is 8,000 miles. A survey of 28 owners of the

A tire company claims that its top selling brand averages at least 50,000 miles before it needs to be replaced. Past studies have shown the standard deviation is 8,000 miles. A survey of 28 owners of the

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Round all answers to a minimum of four (4) decimal places, report all p-values as proportions.

A tire company claims that its top selling brand averages at least 50,000 miles before it needs to be replaced. Past studies have shown the standard deviation is 8,000 miles. A survey of 28 owners of the tire design is conducted and the mean lifespan is 46,500 with a standard deviation of 9,800 miles. Using a 95% level of confidence, are the sample findings consistent with the company’s claim?

    1. What statistical test will you use to test this data (1 point)?

 

  1. State the null and alternative hypothesis (2 points).
    1. H0:
    2. Ha:
  2. 3. What are the confidence intervals (2 points)?

4. What is the value of the test statistic (1 point)?

5. What is the p-value (1 point)?

 

6. Circle/highlight the correct decision about the null hypothesis (1 point).

Reject H0 Fail to Reject H0

 

7. What are your conclusions (2 points)?

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