A physiologist believes he has discovered a new steroid hormone that can affect the blood glucose in reptiles. In an experiment he injects turtles with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the turtles. In his sixteen experimental turtles he obtains the following levels of blood glucose {5, 6, 3, 5, 2, 9, 1, 5, 3, 2, 1, 1, 2, 9, 1, 5}. From previous studies of thousands of normal, un-manipulated turtles he knows that the mean () blood glucose level in this species of turtle (his laboratory population) is 3. Evaluate the hypothesis that this new steroid hormone affects blood glucose levels. Use an -level of 0.01 for this analysis.

What is the appropriate test?