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
- Donnelly
- Statistical hypothesis testing