Review handout S08

Review handout S08 - STAT E-50 - Introduction to Statistics...

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STAT E-50 - Introduction to Statistics Sample Midterm Examination Questions I. Age-related macular degeneration (AMD) , a progressive disease that deprives a person of central vision, is the leading cause of blindness in older adults. In a study published in the Journal of the American Geriatrics Society (Jan. 1998), researchers investigated the link between AMD incidence and alcohol consumption. Each individual in a national sample of 3072 adults was asked about the most frequent alcohol type (beer, wine, liquor, or none) consumed in the past year. In addition, each adult was clinically tested for AMD. The results are shown below: Clinical Diagnosis Most Frequent Alcohol Type Consumed AMD No AMD Totals None 87 878 965 Beer 30 400 430 Wine 51 1,233 1,284 Liquor 20 373 393 Total 188 2,884 3,072 Source: Obisean, T. O., et al. “Moderate wine consumption if associated with decreased odds of developing age-related macular degeneration in NHANES-1.” Journal of the American Geriatrics Society , Vol. 46, No 1, Jan. 1998, p. 3 1. Which variables are quantitative? Which are categorical? 2. Identify the W’s for this study: Who? What? When? Where? Why? How? 3. a) Find the probability that an adult randomly selected from this study was diagnosed with AMD. b) Find the probability that an adult randomly selected from this study was not a beer drinker. c) Find the probability that an adult randomly selected from this study was diagnosed with AMD and most frequently drinks wine. d) Find the probability that an adult randomly selected from this study was diagnosed with AMD or does not drink any alcohol. e) Find the probability that an adult randomly selected from this study who was not diagnosed with AMD was a wine drinker. f) Are drinking wine and AMD independent? Explain fully and clearly, and show any calculations.
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II. The booming economy of the 1990s created many new billionaires. The 1999 Forbes 400 ranked the 400 wealthiest people in the United States. The top 15 billionaires on this list are shown below: Name Age Net Worth ($ millions) Gates, William H. III Allen, Paul Gardner Buffett, Warren Edward Ballmer, Steven Anthony Dell, Michael Walton, Jim C. Walton, Helen R. Walton, Alice L. Walton, John T. Walton, S. Robson Moore, Gordon Earl Ellison, Lawrence Joseph Anschutz, Philip F. Kluge, John Werner Anthony, Barbara Cox 43 40 69 43 34 51 80 50 53 55 70 55 59 85 76 85,000 40,000 31,000 23,000 20,000 17,300 17,000 16,900 16,800 16,600 15,000 13,000 11,000 11,000 9,700 Source: Forbes , Oct. 11, 1999, p. 414 1. Find the median age 2. Here are the sample statistics calculated by Minitab. Variable N Mean Median TrMean StDev SE Mean Age 15 57.53 55.00 57.23 15.37 3.97 Variable Minimum Maximum Q1 Q3 Age 34.00 85.00 43.00 70.00 a) Are there any outliers in this data? Explain your answer, showing any calculations. b) Use the given values and your answer above to construct a boxplot for the ages.
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3. a) Use the stem and leaf display for the net worth shown below to construct a histogram for the data, using the same classes indicated by the stem and leaf display. Be sure to label your graph accurately.
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Review handout S08 - STAT E-50 - Introduction to Statistics...

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