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.

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The Answer of 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.

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

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