Chapter 10: Hypothesis Testing Comparing Two Populations 10.1 Comparing Two Population Means with σ 1 and σ 2 known Hypothesis Test on the difference between two population means: Step 1: Identify the null and alternative hypothesis Step 2: Set a value for the significance level Step 3: Calculate the appropriate test statistic 3a. Calculate Standard Error of the Difference Between Two Means 3b. Plug that value into denominator and calculate Z-Test Statistic Step 4: Determine the appropriate critical value Step 5: Compare the Z-Test Statistic with the Critical Z-Score Step 6: Calculate the p-value Step 7: State your conclusion Upper Tail Test - trying to prove: u1 > u2 / 1 - norm.s.dist( ) Lower Tail Test - trying to prove: u1 < u2 / u1 - u2 => 0 / norm.s.dist( ) Two Tail Test - double the p-value One Tailed Test -- Reject; there is evidence for alternate hypothesis Formula for the z-test statistic for a Hypothesis Test for the difference between two means (σ1 and σ2 known) Formula for the Standard Error of the Difference between Two Means
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- Fall '12
- Statistical hypothesis testing