Based upon 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.
There is enough information to assume normality and use the standard normal probability distribution over the t-distribution.
True or False?