In: Statistics and Probability
Test the claim that the mean GPA of night students is
significantly different than 2.5 at the 0.05 significance
level.
The null and alternative hypothesis would be:
H0:p≥0.625H0:p≥0.625
H1:p<0.625H1:p<0.625
H0:p≤0.625H0:p≤0.625
H1:p>0.625H1:p>0.625
H0:p=0.625H0:p=0.625
H1:p≠0.625H1:p≠0.625
H0:μ≥2.5H0:μ≥2.5
H1:μ<2.5H1:μ<2.5
H0:μ=2.5H0:μ=2.5
H1:μ≠2.5H1:μ≠2.5
H0:μ≤2.5H0:μ≤2.5
H1:μ>2.5H1:μ>2.5
The test is:
right-tailed
left-tailed
two-tailed
Based on a sample of 70 people, the sample mean GPA was 2.48 with a
standard deviation of 0.08
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
This is two-tailed test
TS = -2.09
p-value = 0.04
we reject the null hypothesis
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