Test the claim that the mean GPA of night students is larger than 2.2 at the 0.0
ID: 3261912 • Letter: T
Question
Test the claim that the mean GPA of night students is larger than 2.2 at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:p=0.55H0:p=0.55
H1:p0.55H1:p0.55
H0:p0.55H0:p0.55
H1:p<0.55H1:p<0.55
H0:2.2H0:2.2
H1:<2.2H1:<2.2
H0:=2.2H0:=2.2
H1:2.2H1:2.2
H0:2.2H0:2.2
H1:>2.2H1:>2.2
H0:p0.55H0:p0.55
H1:p>0.55H1:p>0.55
The test is:
left-tailed
right-tailed
two-tailed
Based on a sample of 55 people, the sample mean GPA was 2.23 with a standard deviation of 0.06
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis
Explanation / Answer
The claim that the mean GPA of night students is larger than 2.2 at the 0.005 significance level.
so, H1: Mu>2.2 , Ho is mutually exclusive of Ha: Mu<=2.2
So, the right optoin is Ho: Mu<=2.2, Ha: Mu>2.2
The test is a left tailed test.
n = 55
Xbar = 2.23
Stdev = .06
Test statitic = (2.23-2.2)/(.06/sqrt(55)) = 3.71
The pvalue is 0.00
Based on this we:
Reject the null hypothesis
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