Answered: The manufacturer of a particular brand…

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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Transcribed Image Text:### Tire Lifespan Analysis #### Overview The manufacturer of a particular brand of tires claims that their tires last, on average, at least 50,000 miles before they need to be replaced. Past studies of these tires indicate that the population standard deviation is 8,000 miles. #### Study A survey of tire owners was conducted. From the 30 tires surveyed, the mean lifespan was found to be 43,500 miles. Using a significance level (alpha) of 0.05, can we determine if the data is inconsistent with the manufacturer's claim? #### Hypothesis Testing 1. **Type of Test** - We should use a [ ? ] test. 2. **Hypotheses** - Null Hypothesis (H₀): [?] [ ? ] - Alternative Hypothesis (Hₐ): [?] [ ? ] 3. **Calculations** - Based on the hypotheses, find the following (Round test statistic and p-value to 4 decimal places). - **Test Statistic**: ``` Test Statistic = [ ] ``` - **p-value**: ``` p-value = [ ] ``` 4. **Decision** - The correct decision is to [ Select an answer ]. 5. **Conclusion** - The correct conclusion would be: ``` [ Select an answer ] ``` This exercise enables students to understand the process of hypothesis testing and the application of statistical methods to real-world data. It requires identifying the correct test, setting up hypotheses, calculating the test statistic and p-value, making a decision based on the significance level, and drawing a conclusion. Note: The [?] parts and drop-down selections indicate areas where students must input or select the appropriate answers.

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