In Order to Test the Hypotheses:
H₀: µ $\mu$ ₁ - µ

Essay

In order to test the hypotheses:
H₀: µ $\mu$ ₁ - µ $\mu$ ₂ = 0
H₁: µ $\mu$ ₁ - µ $\mu$ ₂ ? $\neq$ 0,
we independently draw a random sample of 18 observations from a normal population with standard deviation of 15, and another random sample of 12 from a second normal population with standard deviation of 25.
a. If we set the level of significance at 5%, determine the power of the test when $\mu$ ₁ - $\mu$ ₂ = 5.
b. Describe the effect of reducing the level of significance on the power of the test.