Test the claim that the mean GPA of night students is smaller than 3 at the 0.05 significance level.
The null and alternative hypothesis would be:
H
0
:
μ
=
3
H
1
:
μ
≠
3
H
0
:
μ
≥
3
H
1
:
μ
<
3
H
0
:
p
≥
0.75
H
1
:
p
<
0.75
H
0
:
p
≤
0.75
H
1
:
p
>
0.75
H
0
:
μ
≤
3
H
1
:
μ
>
3
H
0
:
p
=
0.75
H
1
:
p
≠
0.75
The test is:
two-tailed
right-tailed
left-tailed
Based on a sample of 65 people, the sample mean GPA was 2.97 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:
Fail to reject the null hypothesis
Reject the null hypothesis
