DIFFERENCE IN POPULATION MEANS - DIFFERENCE IN POPULATION...

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DIFFERENCE IN POPULATION MEANS Determining the Model Type 1. Ask, "Do you know the standard deviations of the populations?" YES – Select z-Test: Two sample For Means NO -- Go to Step 2 2. Ask, "Is the data paired?" That is, "Is there something in common between the first, the second, the third, etc. data points in the first sample and the first data point in the second sample?" YES -- Select t-Test: Paired Two Sample for Means NO -- Go to Step 3 Examples: Scores of Women and Men on a Test The ordering is irrelevant. The first woman's score of 77 has no relation to the firs man's score of 88. Data Not Paired! Attendance at Lakers and Clippers Basketball Games The observations occur on different dates Data Not Paired! Sales on Same Date at Two Different Stores Each pair of observations occur on the same date Data IS Paired! (By date)
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3. For data that is not paired, ask, "Can I assume the standard deviations are equal?" This is an F-Test of H 0 : σ 1 2 / σ 2 2 = 1 vs. H 1 : σ 1 2 / σ 2
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DIFFERENCE IN POPULATION MEANS - DIFFERENCE IN POPULATION...

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