unit 6 lecture

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MOS STATS UNIT 6 Two-Sample Hypothesis Testing Independent Groups z-test about the mean When to use the two-sample z-test about the mean - Obtain a random sample of participants - Randomly assign participants to one of two test groups (IV) - Apply manipulation - Measure all participants on same dependent variable (DV) and compare mean values - Sample groups above or equal to 30 Example Step 1; State the hypothesis H: u1=u2 U1> U2 one tailed, greater than U1<U2 one tailed, less than U1 doesn’t equal U2 two tailed Step 2: Identify the rejection region and critical value, state the decision rule DR reject Ho if Zobt > 1.645 Step 3: calculate the test statistic Where: Where: ´ x 1 = mean of group 1 ´ x 2 = mean of group 2 s 1 2 = variance of group 1 s 2 2 = variance of group 2 n 1 = ¿ sample size of group 1 n 2 = ¿ sample size of group 2
Step 4: compare the test statistic to the critical value, state the final conclusion Dr reject Ho Zobt> 1.645 Zobt> 2.49 Alternative solution A lot done on paper z OBT = 2.49 z OBT = 67.0 - 55.0 √ 19.82 30 + 17.52 30 z OBT = (´ x 1 −´ x 2 ) √ s 1 2 n 1 + s 2 2 n 2
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