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tests4means

# tests4means - Summary of the Risk in Decision Making Actual...

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Summary of the Risk in Decision Making Actual Situation Statistical Decision H 0 True H 0 False Do not reject H 0 Correct decision Probability = 1 – α , the confidence level Type II error Probability = β Reject H 0 Type I error Probability = α, the significance level Correct decision Probability = 1 – β , the power Summary of Significance Tests for the Mean of a Normal Population A. n large: σ known * Null Hypothesis, H 0 Alternative Hypothesis, H a or H 1 Test Statistic Decision Rule μ = μ 0 or μ μ 0 μ > μ 0 n x z σ μ 0 - = Reject H 0 if z > z α μ = μ 0 or μ μ 0 μ < μ 0 n x z σ μ 0 - = Reject H 0 if z < – z α μ = μ 0 μ μ 0 n x z σ μ 0 - = Reject H 0 if - < 2 2 α α z z or z

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