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Unformatted text preview: Chapter 6 The Standard Deviation as a Ruler and the Normal Model 1 At the end of the chapter, you should be able to • Compare observations from two different quantitative variables. • Determine which quantitative variables could be modeled using the normal distribution. • Apply the 68-95-99.7 Rule to any quantitative variable with a normal distribution. 2 At the end of this chapter, you should be able to • Find percentile or area values for any given observation from a normal distribution. • Find the value of an observation when given a percentile or area value from the normal distribution. 3 Comparing Two Variables • ACT Score • SAT Score • Different scale • Measuring similar values • How do you compare them? 4 Example 1 • A student got a 67/75 on the first exam and a 64/75 on the second exam. She was disappointed that she did not score as well on the second exam. • To her surprise, the professor said she actually did better on the second exam, relative to the rest of the class. 5 ! 86 Lakers vs. " 06 Suns The 1985-86 Los Angeles Lakers and the 2005-06 Phoenix Suns lead the NBA in points per game in their respective years. Overall, the Lakers scored more than the Suns, but there was little defense in the NBA in the mid-80 ! s. Which of these two teams was more of a dominant offensive force?...
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