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 2.1 at the 0.025 significance level.
The null and alternative hypothesis would be:
H0:μ=2.1H0:μ=2.1
H1:μ≠2.1H1:μ≠2.1
H1:μ≠2.1H1:μ≠2.1
H0:p≤0.525H0:p≤0.525
H1:p>0.525H1:p>0.525
H1:p>0.525H1:p>0.525
H0:μ≤2.1H0:μ≤2.1
H1:μ>2.1H1:μ>2.1
H1:μ>2.1H1:μ>2.1
H0:p≥0.525H0:p≥0.525
H1:p<0.525H1:p<0.525
H1:p<0.525H1:p<0.525
H0:μ≥2.1H0:μ≥2.1
H1:μ<2.1H1:μ<2.1
H1:μ<2.1H1:μ<2.1
H0:p=0.525H0:p=0.525
H1:p≠0.525H1:p≠0.525
H1:p≠0.525H1:p≠0.525
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 40 people, the sample mean GPA was 2.06 with a standard deviation of 0.04
The test statistic is: (to 2 decimals)
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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