Test the claim that the mean GPA of night students is larger
than 3.4 at the 0.10 significance level.
The null and alternative hypothesis would be:
H0:p=0.85H0:p=0.85
H1:p≠0.85H1:p≠0.85
H0:μ≥3.4H0:μ≥3.4
H1:μ<3.4H1:μ<3.4
H0:p≥0.85H0:p≥0.85
H1:p<0.85H1:p<0.85
H0:p≤0.85H0:p≤0.85
H1:p>0.85H1:p>0.85
H0:μ=3.4H0:μ=3.4
H1:μ≠3.4H1:μ≠3.4
H0:μ≤3.4H0:μ≤3.4
H1:μ>3.4H1:μ>3.4
The test is:
two-tailed
left-tailed
right-tailed
Based on a sample of 75 people, the sample mean GPA was 3.41 with a
standard deviation of 0.03
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
Solution:
The null and alternative hypothesis is,
Ho: 3.4
Ha: 3.4
This a right (One) tailed test.
The test statistics,
t =( - )/ (s /n)
= ( 3.41 - 3.4 ) / ( 0.03 / 75 )
= 2.89
P-value = 0.002
Since, P-value = 0.00 < 0.10, Reject the null hypothesis.
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