Step-by-step explanation:
Population Mean (u) = 3.50
Sample (n)= 36
Sample mean (x) = 3.60
Population standard deviation (s)= 0.40
Test statistics:
(Null hypothesis) H0: u= 3.5 (Population mean is equal to 3.5)
(Alternate hypothesis) H1: u> 3.5 (Population mean is greater than 3.5)
Z= =
=
= 1.5
critical value= Z0.05= 1.645 (From Z table)
Since, Z value is less than critical Z value that is Z<1.645
We cannot reject null hypothesis
So, we decide to reject that the mean GPA of graduates exceeds 3.50
