In: Statistics and Probability
Test the claim that the mean GPA of night students is larger
than 2.8 at the 0.10 significance level.
The null and alternative hypothesis would be:
H0:μ=2.8H0:μ=2.8
H1:μ≠2.8H1:μ≠2.8
H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7
H0:μ≥2.8H0:μ≥2.8
H1:μ<2.8H1:μ<2.8
H0:p≤0.7H0:p≤0.7
H1:p>0.7H1:p>0.7
H0:p≥0.7H0:p≥0.7
H1:p<0.7H1:p<0.7
H0:μ≤2.8H0:μ≤2.8
H1:μ>2.8H1:μ>2.8
The test is:
right-tailed
two-tailed
left-tailed
Based on a sample of 40 people, the sample mean GPA was 2.81 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: