I believe it’s the village
Solution :
a). Let x denotes ACT scores.
ACT scores = 
Mean, 

Sample variance, 


= 11
b). To test whether or not variance of ACT scores of population (say
) of the UTC students is significantly more than 8.
Consider the hypothesis :
vs 
It is a right tailed test and α = 0.05
We have

So test statics is


= 8.25
Since our
and it falls in a acceptation region, hence we fail to reject
and conclude that variance is not greater than 8 significantly.
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