final part 2.docx

final part 2.docx - Brittany Throneberry Final Exam Part 2...

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Brittany Throneberry Final Exam Part 2 Question 1 - 40 points A researcher hypothesizes that people who listen to classical music have higher concentration skills than those in the general population. On a standard concentration test, the overall mean is 15.5. The researcher gave this same test to a random sample of 12 individuals who regularly listen to classical music. Their scores on the test were as follows: 16, 14, 20, 12, 25, 22, 23, 19, 17, 17, 21, 20 1. Is this a one- or two-tailed test? One-tailed test, because the research hypothesis is directional, it suggests there is an increase in concentration 2. Conduct all 6 steps of the appropriate statistic. Be sure to label all six steps. Step 1 - The populations are individuals from the general population who have taken a standard concentration test and 12 individuals who regularly listen to classical music and were given the same standard concentration test. The comparison distribution will be a distribution of means. The hypothesis test will be a single-sample t test because we have one sample and we know the population mean but not the population standard deviation. This study meets one of the three assumptions and may meet the others: 1.The dependent variable is scale. 2. We don’t know whether data from the general population was randomly selected. 3.We don’t know whether the population is normally distributed, and there is not at least 30 participants. Step 2 - Null Hypothesis: H 0 : µ 1 = µ 2 Research Hypothesis: H 1 : µ 1 < µ 2 Step 3 - µ M = 15.5; s = 3.79 Calculations : µ M = µ = 15.5 M = ∑ X / N= (16+ 14+20+12+25+22+23+19+17+17+21+20)/12 = 18.83 X X - M ( X - M ) 2 16 -2.83 8.01 14 -4.83 23.33 20 1.17 1.37 12 -6.83 46.65 25 6.17 38.07 22 3.17 10.05 23 4.17 17.39 19 0.17 0.29 17 -1.83 3.35 17 -1.83 3.35
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