Test the claim that the mean GPA of night students is significantly different than 2 at the 0.2 significance level. The null and alternative hypothesis would be: H0:μ≥2H0:μ≥2 H1:μ<2H1:μ<2 H0:μ≤2H0:μ≤2 H1:μ>2H1:μ>2 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:μ=2H0:μ=2 H1:μ≠2H1:μ≠2 The test is: right-tailed two-tailed left-tailed
Test the claim that the mean GPA of night students is significantly different than 2 at the 0.2 significance level. The null and alternative hypothesis would be: H0:μ≥2H0:μ≥2 H1:μ<2H1:μ<2 H0:μ≤2H0:μ≤2 H1:μ>2H1:μ>2 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:μ=2H0:μ=2 H1:μ≠2H1:μ≠2 The test is: right-tailed two-tailed left-tailed
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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Test the claim that the mean GPA of night students is significantly different than 2 at the 0.2 significance level.
The null and alternative hypothesis would be:
H0:μ≥2H0:μ≥2
H1:μ<2H1:μ<2
H1:μ<2H1:μ<2
H0:μ≤2H0:μ≤2
H1:μ>2H1:μ>2
H1:μ>2H1:μ>2
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5
H1:p<0.5H1:p<0.5
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
H1:p≠0.5H1:p≠0.5
H0:p≤0.5H0:p≤0.5
H1:p>0.5H1:p>0.5
H1:p>0.5H1:p>0.5
H0:μ=2H0:μ=2
H1:μ≠2H1:μ≠2
H1:μ≠2H1:μ≠2
The test is:
right-tailed
two-tailed
left-tailed
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Follow-up Question
Test the claim that the
The null and alternative hypothesis would be:
H0:μ≥2H0:μ≥2
H1:μ<2H1:μ<2
H1:μ<2H1:μ<2
H0:μ≤2H0:μ≤2
H1:μ>2H1:μ>2
H1:μ>2H1:μ>2
H0:p≥0.5H0:p≥0.5
H1:p<0.5H1:p<0.5
H1:p<0.5H1:p<0.5
H0:p=0.5H0:p=0.5
H1:p≠0.5H1:p≠0.5
H1:p≠0.5H1:p≠0.5
H0:p≤0.5H0:p≤0.5
H1:p>0.5H1:p>0.5
H1:p>0.5H1:p>0.5
H0:μ=2H0:μ=2
H1:μ≠2H1:μ≠2
H1:μ≠2H1:μ≠2
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 25 people, the sample mean GPA was 1.97 with a standard deviation of 0.06
The p-value is: (to 2 decimals)
Based on this we:
- Fail to reject the null hypothesis
- Reject the null hypothesis
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