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02b Lesson 2 SP

02b Lesson 2 SP - course webpage(“ Data2 ” 200...

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MA206 Suggested Problems Empirical Distribution Functions (EDF) 1. Suppose we obtain the following sample data on the amount of time (in minutes) that a cadet spends preparing his uniform for inspection each day: S={11, 33, 4, 13, 29} a. Sketch (by hand) the EDF for this data set on the following graph: Uniform Prep Time 0 0.2 0.4 0.6 0.8 1 1.2 0 5 10 15 20 25 30 35 Time (min) Proportion b. Using appropriate interval notation, completely specify the step-function graphed above. = ) ( 5 x F c. Based on the EDF above, what proportion of cadets spend less than 10 minutes preparing their uniforms each day? Less than 25 minutes? More than 30 minutes?

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d. Considering the original sample, do your results make sense? Why or why not? 2. Given the same scenario as above, but using the much larger sample data set provided on the
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Unformatted text preview: course webpage (“ Data2 ” -- 200 observations), create another EDF. a. Comment on why the new EDF looks vastly different than the EDF in Problem 1a. b. Using the new EDF, what proportion of cadets spend less than 10 minutes preparing their uniforms each day? Less than 25 minutes? More than 30 minutes? c. Are you more, less, or equally confident in your answers above (compared to the answers you determined in Problem 1b)? Explain. d. It seems that as the sample size increases, the EDF looks more like a smooth continuous function and less like a step-function. How could you use this fact to more efficiently answer the questions posed in Problems 1c and 2b?...
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02b Lesson 2 SP - course webpage(“ Data2 ” 200...

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