Question

 In a study conducted in the Forestry and Wildlife Department at Virginia Tech, J. A. Wesson examined the influence of the drug succinylcholine on the circulation levels of androgens in the blood. Blood samples were taken from wild, free-ranging deer immediately after they had received an intramuscular injection of succinylcholine administered using darts and a capture gun. A second blood sample was obtained from each deer 30 minutes after the first sample, after which the deer was released. The levels of androgens at time of capture and 30 minutes later, measured in nanograms per milliliter (ng/mL), for 15 deer are given in the table below.

Assume that the populations of androgen levels at time of injection has a normal distribution N(µ1, σ2 1 ) with unit ng/mL, and the androgen levels 30 minutes later has another normal distribution N(µ2, σ2 2 ) with unit ng/mL. Draw a 95% confidence interval for µ2 − µ1.