MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
Test the claim that the mean GPA of night students is smaller than 2.9 at the 0.10 significance level.
The null and alternative hypothesis would be:
H0:μ≤2.9H0:μ≤2.9
H1:μ>2.9H1:μ>2.9
H1:μ>2.9H1:μ>2.9
H0:p≤0.725H0:p≤0.725
H1:p>0.725H1:p>0.725
H1:p>0.725H1:p>0.725
H0:μ=2.9H0:μ=2.9
H1:μ≠2.9H1:μ≠2.9
H1:μ≠2.9H1:μ≠2.9
H0:p=0.725H0:p=0.725
H1:p≠0.725H1:p≠0.725
H1:p≠0.725H1:p≠0.725
H0:μ≥2.9H0:μ≥2.9
H1:μ<2.9H1:μ<2.9
H1:μ<2.9H1:μ<2.9
H0:p≥0.725H0:p≥0.725
H1:p<0.725H1:p<0.725
H1:p<0.725H1:p<0.725
The test is:
right-tailed
left-tailed
two-tailed
Based on a sample of 20 people, the sample mean GPA was 2.87 with a standard deviation of 0.04
The p-value is: (to 2 decimals)
Based on this we:
- Reject the null hypothesis
- Fail to reject the null hypothesis
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