An electrical engineer must design a circuit to deliver the maximum amount of current to a display tube to achieve sufficient image brightness. Within her allowable design constraints, she has developed two candidate circuits and tests prototypes of each. The resulting data (in microamperes) are as follows:

(a) Use the Wilcoxon rank-sum test to test H₀: μ₁ = μ₂ against the alternative H₁: μ₁ > μ₂. Use α = 0.025.

(b) Use the normal approximation for the Wilcoxon rank-sum test. Assume that α = 0.05. Find the approximate P-value for this test statistic.

Circuit 1: 251, 255, 258, 257, 250, 251, 254, 250, 248 Circuit 2: 250, 253, 249, 256, 259, 252, 260, 251