An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 330 minutes on a single gallon of regular gasoline. From his stock of engines,the inventor selects a random sample of 1100 engines for testing. The engines run for an average of 329.97 minutes, with a standard deviation of 26.42 minutes. Test the hypothesis that the mean run time is significantly different at a 0.05 level of significance. The null and alternative hypothesis would be: H0:μ=330H0:μ=330 H1:μ>330H1:μ>330 H0:p=82.5H0:p=82.5 H1:p<82.5H1:p<82.5 H0:p=82.5H0:p=82.5 H1:p>82.5H1:p>82.5 H0:μ=330H0:μ=330 H1:μ<330H1:μ<330 H0:μ=330H0:μ=330 H1:μ≠330H1:μ≠330 H0:p=82.5H0:p=82.5 H1:p≠82.5H1:p≠82.5 The test is: two-tailed left-tailed right-tailed The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 330 minutes on a single gallon of regular gasoline. From his stock of engines,the inventor selects a random sample of 1100 engines for testing. The engines run for an average of 329.97 minutes, with a standard deviation of 26.42 minutes. Test the hypothesis that the mean run time is significantly different at a 0.05 level of significance. The null and alternative hypothesis would be: H0:μ=330H0:μ=330 H1:μ>330H1:μ>330 H0:p=82.5H0:p=82.5 H1:p<82.5H1:p<82.5 H0:p=82.5H0:p=82.5 H1:p>82.5H1:p>82.5 H0:μ=330H0:μ=330 H1:μ<330H1:μ<330 H0:μ=330H0:μ=330 H1:μ≠330H1:μ≠330 H0:p=82.5H0:p=82.5 H1:p≠82.5H1:p≠82.5 The test is: two-tailed left-tailed right-tailed The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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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An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 330 minutes on a single gallon of regular gasoline. From his stock of engines,the inventor selects a random sample of 1100 engines for testing. The engines run for an average of 329.97 minutes, with a standard deviation of 26.42 minutes. Test the hypothesis that the mean run time is significantly different at a 0.05 level of significance.
The null and alternative hypothesis would be:
The test is:
The test statistic is: (to 2 decimals)
The p-value is: (to 4 decimals)
Based on this we:
The null and alternative hypothesis would be:
H0:μ=330H0:μ=330
H1:μ>330H1:μ>330
H1:μ>330H1:μ>330
H0:p=82.5H0:p=82.5
H1:p<82.5H1:p<82.5
H1:p<82.5H1:p<82.5
H0:p=82.5H0:p=82.5
H1:p>82.5H1:p>82.5
H1:p>82.5H1:p>82.5
H0:μ=330H0:μ=330
H1:μ<330H1:μ<330
H1:μ<330H1:μ<330
H0:μ=330H0:μ=330
H1:μ≠330H1:μ≠330
H1:μ≠330H1:μ≠330
H0:p=82.5H0:p=82.5
H1:p≠82.5H1:p≠82.5
H1:p≠82.5H1:p≠82.5
The test is:
two-tailed
left-tailed
right-tailed
The test statistic is: (to 2 decimals)
The p-value is: (to 4 decimals)
Based on this we:
- Reject the null hypothesis
- Fail to reject the null hypothesis
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