Based upon the report from Department of Game and Fish, a researcher wished to determine how much trout weigh in Trout Creek. A random sample of 5 trout where captured, weighed, tagged as well as released; the weights recorded in pounds were 2 lb, 4 lb, 6 lb, 7 lb, and 9 lb yielding sample mean of 5.6 lbs and sample standard deviation of 2.7. Employ a 10% level of significance to test the claim by Department of Wildlife Conservation agency that the mean weight of trout is 6 lbs.
Calculate the test statistic accurate to two decimals.