SOLUTION: Question : A state executive claims that the average number of acres in western Pennsylvania state parks is less than 2000 acres. A random sample of five parks is selected, and th

Question 1173383: Question :
A state executive claims that the average number of acres in western Pennsylvania state parks is less than 2000 acres. A random sample of five parks is selected, and the number of acres is shown. At α=0.01, is there enough evidence to support the claim?
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Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The mean is 1885.8 acres with sd=2456.3 acres
Ho: acres >=2000
Ha: acres < 2000
alpha=0.01
test stat is a t(0.99, df=4)=(x bar-mean)/s/sqrt(n)
critical value is t < -3.747
calculation is t=(-114.2)*sqrt(5)/2456.3=-0.10
fail to reject Ho. There is not sufficient evidence to reject the claim that they are at least 2000 acres.

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