Based on the report from the Department of Game and Fish, a researcher wished to estimate how
much trout weigh in Trout Creek. A random sample of 5 trout where captured, weighed, tagged
and released; the weights recorded in pounds were 2 lb, 4 lb, 6 lb, 7 lb, and 9 lb yielding a
sample mean of 5.6 lbs and a sample standard deviation of 2.7. Use a 10% level of significance
to test the claim by the Department of Wildlife Conservation agency that mean weight of trout is
6 lbs. Compute the test statistic accurate to two decimals.
Solution
t=(5.6-6)/(2.7/SQRT5)=-0.33 t(5,.1)=1.47 NULL HYPOTHESIS ACCEPTED
MEAN WT IS 6LBS