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Chapter17-PracticeActivity

# Chapter17-PracticeActivity - STA2023 Chapter 17 The Normal...

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1 STA2023 - Chapter 17 The Normal Approximation to the Binomial and the Binompdf/Binomcdf – Practice Activity According to the U.S. Census Bureau, in 2003 about 27% of United States residents who are older than 25 years old had earned at least a bachelor’s degree. Suppose you collect a random sample of 820 residents of the U.S. over the age of 25, asking each whether or not they have a bachelor’s degree. Note that there are only two possible answers to the question, bachelor’s degree or not. Thus each trial has only two possible outcomes. Furthermore, there are a fixed number of trials (n = 820), and the probability of success remains constant from trial to trial (p = 0.27). Finally, since the data is from a random sample and the sample is less than 10% of the entire population (all U.S. residents over the age of 25), it’s reasonable to conclude that individual responses are independent of each other. Thus, this scenario can be modeled with a Binomial distribution: X ~ B(820, 0.27) where a success is defined as a U.S. resident over age 25 who has a bachelor’s degree

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Chapter17-PracticeActivity - STA2023 Chapter 17 The Normal...

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