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Ford Mustang: Acceleration Motor Trend stated that the mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.4 seconds. (a) If you want to set up a statistical test to challenge the claim of 4.4 sec- onds, what would you use for the null hypothesis? (b) The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in Leadville (because of less oxygen). What would you use for the alternate hypothesis? (c) Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? (d) For each of the tests in parts (b) and (c), would the P-value area be on the

Ford Mustang: Acceleration Motor Trend stated that the mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.4 seconds. (a) If you want to set up a statistical test to challenge the claim of 4.4 sec- onds, what would you use for the null hypothesis? (b) The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in Leadville (because of less oxygen). What would you use for the alternate hypothesis? (c) Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? (d) For each of the tests in parts (b) and (c), would the P-value area be on 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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### Accelerating a Ford Mustang: Analyzing Statistical Claims Motor Trend reported that the mean time for a Ford Mustang to accelerate from 0 to 60 miles per hour is 4.4 seconds. Let's explore various scenarios to understand how to set up and test different hypotheses based on this information. 1. **Setting Up a Null Hypothesis** - **Scenario (a):** If you want to set up a statistical test to challenge the claim that the mean acceleration time is 4.4 seconds, what would you use for the null hypothesis? - **Null Hypothesis (H0):** The mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.4 seconds (\(\mu = 4.4\)). 2. **Testing in High Elevation Areas** - **Scenario (b):** The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in Leadville (due to less oxygen). What would you use for the alternate hypothesis? - **Alternate Hypothesis (Ha):** The mean time to accelerate from 0 to 60 miles per hour in Leadville is greater than 4.4 seconds (\(\mu > 4.4\)). 3. **Effect of Engine Modification** - **Scenario (c):** Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? - **Alternate Hypothesis (Ha):** The mean time to accelerate from 0 to 60 miles per hour after modification is less than 4.4 seconds (\(\mu < 4.4\)). 4. **Determining the P-Value Area** - **Scenario (d):** For each of the tests in parts (b) and (c), would the P-value area be on the left, on the right, or on both sides of the mean? Explain your answer in each case. - **Testing in High Elevation (Part b):** The P-value area would be on the right side because the alternate hypothesis states the mean acceleration time is greater than 4.4 seconds. - **Testing Engine Modification (Part c):** The P-value area would be on
Transcribed Image Text:### Accelerating a Ford Mustang: Analyzing Statistical Claims Motor Trend reported that the mean time for a Ford Mustang to accelerate from 0 to 60 miles per hour is 4.4 seconds. Let's explore various scenarios to understand how to set up and test different hypotheses based on this information. 1. **Setting Up a Null Hypothesis** - **Scenario (a):** If you want to set up a statistical test to challenge the claim that the mean acceleration time is 4.4 seconds, what would you use for the null hypothesis? - **Null Hypothesis (H0):** The mean time for a Ford Mustang to go from 0 to 60 miles per hour is 4.4 seconds (\(\mu = 4.4\)). 2. **Testing in High Elevation Areas** - **Scenario (b):** The town of Leadville, Colorado, has an elevation over 10,000 feet. Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in Leadville (due to less oxygen). What would you use for the alternate hypothesis? - **Alternate Hypothesis (Ha):** The mean time to accelerate from 0 to 60 miles per hour in Leadville is greater than 4.4 seconds (\(\mu > 4.4\)). 3. **Effect of Engine Modification** - **Scenario (c):** Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced. What would you use for the alternate hypothesis? - **Alternate Hypothesis (Ha):** The mean time to accelerate from 0 to 60 miles per hour after modification is less than 4.4 seconds (\(\mu < 4.4\)). 4. **Determining the P-Value Area** - **Scenario (d):** For each of the tests in parts (b) and (c), would the P-value area be on the left, on the right, or on both sides of the mean? Explain your answer in each case. - **Testing in High Elevation (Part b):** The P-value area would be on the right side because the alternate hypothesis states the mean acceleration time is greater than 4.4 seconds. - **Testing Engine Modification (Part c):** The P-value area would be on
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