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Section 9.3: Two Dependent Samples (Matched Pairs) Stat 50 Def Two sets of observations are paired if each observation in one set has a special correspondence or connection with exactly one observation in the other set. EX: State if the samples are dependent or independent and if the variable is qualitative or quantitative. 1) Among competing acne medications, does one perform better than the other? To answer this question, researchers applied Medication A to one part of the subject's face and Medication B to a different part of the subject's face to determine the proportion of subjects whose acne cleared up for each medication. The part of the face that received Medication A was randomly determined. Sample 1 = Sample 2 = Variable = 2) A researcher wishes to determine the effects of alcohol on people's reaction time. She randomly divides 100 people 21 years or older into two groups. Group 1 is asked to drink 3 ounces of alcohol, while group 2 drinks a placebo. Thirty minutes later they measure their reaction time. Sample 1 = Sample 2 = Variable = 3) A statistician wants to compare the treatment of female and male actors based on their ages. She looks at the ages of the females and males who won best actor/actress in the last five years of the Oscars. Sample 1 = Sample 2 = Variable = TURN TWO SAMPLES INTO ONE SAMPLE: Consider an experiment where a researcher throws a stick towards someone and first asks them to catch it with their dominant hand then again with their non-dominant hand. The times below showed how long it took several individuals to react to the toss. Student Dominant Hand. X, Nondominant Hand. Y Difference. d, These are Dependent Samples 10.177 1 179 0 177 - 0.179 - 0 210 0.202 because: 0. 208 -0.023 0.184 6 215 -2017 0. 194 0.193 Create one New Sample of Differences 12 160 0.163 0.160 then run a 9 12 156 0209 10 0.152 1. 164 11 0:190 0210 Symbols: 12 0.172 0147 True mean of the differences = Ed. . -diss Sample standard deviation of the differences = Sample size =