SOLUTION: An MP claims that the average number of acres in his province’s State Parks is less than 2000 acres. A random sample of five parks is selected and the number of acres is shown

Question 1182362: An MP claims that the average number of acres in his province’s State Parks is less than 2000 acres.
A random sample of five parks is selected and the number of acres is shown below:
959, 1187, 493, 6249, 541
Assume the variable must be normally distributed, at

= 0.01 is there enough evidence to support
the claim? To draw your conclusion, state the hypotheses and identify the claim, find the critical
value(s), label the acceptance and rejection region, calculate the test value and summarize the results.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho: Ave Acres >=2000
Ha: Ave acres <2000
alpha=0.01 p{reject Ho|Ho true}
test stat is a t (0.995, df=4)
Critical value is t<-3.747
x bar=1885.8 acres
s=2456.3 acres
t=(1885.8-2000)/2456.3/sqrt(5)
=-0.103
fail to reject Ho
No convincing evidence from these data that the average is < 2000 acres
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