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The average MPG of a manufactured car is designed to be normally distributed with an average of 30.0 MPG. A sample of 5 cars has the following MPG values 32.0 28.0 30.0 31.0 31.0 At the 5% significance level determine if the average MPG of the car is not 30.0. O Null Hypothesis: The population average is 30.0 MPG Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance Null Hypothesis: The population average is 30.0 MPG| Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is smaller than the significance Null Hypothesis: The population average is 30.4 MPG

The average MPG of a manufactured car is designed to be normally distributed with an average of 30.0 MPG. A sample of 5 cars has the following MPG values 32.0 28.0 30.0 31.0 31.0 At the 5% significance level determine if the average MPG of the car is not 30.0. O Null Hypothesis: The population average is 30.0 MPG Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance Null Hypothesis: The population average is 30.0 MPG| Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is smaller than the significance Null Hypothesis: The population average is 30.4 MPG

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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Question 23: at the 5% significance level determine if the average MPG of the car is not 30.0
The average MPG of a manufactured car is designed to be normally distributed with an average of 30.0 MPG. A sample of 5 cars has the following MPG values 32.0 28.0 30.0 31.0 31.0 At the 5% significance level determine if the average MPG of the car is not 30.0. Null Hypothesis: The population average is 30.0 MPG| Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance Null Hypothesis: The population average is 30.0 MPG Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is smaller than the significance O Null Hypothesis: The population average is 30.4 MPG
Transcribed Image Text:The average MPG of a manufactured car is designed to be normally distributed with an average of 30.0 MPG. A sample of 5 cars has the following MPG values 32.0 28.0 30.0 31.0 31.0 At the 5% significance level determine if the average MPG of the car is not 30.0. Null Hypothesis: The population average is 30.0 MPG| Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance Null Hypothesis: The population average is 30.0 MPG Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is smaller than the significance O Null Hypothesis: The population average is 30.4 MPG
Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is smaller than the significance Null Hypothesis: The population average is 30.4 MPG Alternative Hypothesis: The population average is not 30.4 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance Null Hypothesis: The population average is 30.0 MPG Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test z less than -1.96 and z greater than 1.96 Test Statistic: z = 0.59 p-value: p = 0.56 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance
Transcribed Image Text:Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is smaller than the significance Null Hypothesis: The population average is 30.4 MPG Alternative Hypothesis: The population average is not 30.4 MPG Rejection Region: Two-Tailed Test t less than -2.78 and t greater than 2.78 Test Statistic: t = 0.59 p-value: p = 0.59 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance Null Hypothesis: The population average is 30.0 MPG Alternative Hypothesis: The population average is not 30.0 MPG Rejection Region: Two-Tailed Test z less than -1.96 and z greater than 1.96 Test Statistic: z = 0.59 p-value: p = 0.56 Conclusion: Fail to reject the null since the test statistic is not in the rejection region and the p-value is larger than the significance
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