practice-midterm2

# practice-midterm2 - STAT 20 Fall 2011 Practice Midterm 2 1...

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STAT 20 - Fall 2011 - Practice Midterm 2 1. Most explanations require just a sentence or two. On calculations, show your work and work through to a numerical answers, upto at least 2 decimal places. 2. Use the normal tables in the back of the book. 1. A researcher collects data consisting of (father’s height, son’s height) for a random sample of households in a certain city. The average height of the fathers is 69 inches and the average height of the sons is 70 inches. Both have standard deviations of 2 inches, and the correlation is 0.5. (a) Terry, one of the fathers interviewed, is taller than 38% of the fathers. In what percentile of the sons’ heights do you expect his son Weston to be? Assume the scatter plot is football-shaped. (b) The researcher wants to know the mean and standard deviation among all sons whose fathers were in the 38th percentile. What do you say? (Hint: save time by reusing your calculations from part (a).) (c) Without doing any long calculations, can you say what your answer for (a) and (b)would have been if the correlation was -0.5?

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