H2 Due Sept 26 - Problem Set 2 Problem 1 Create 100...

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Problem Set 2 Problem 1 Create 100 observations of a Normal Random Variable with mean = 0 and standard deviation = 1. a Create the histogram. What can you tell about the histogram? b Calculate descriptive statistics c Are the mean and the median close to each other. d Count the number of measurements in the intervals ¯ ±  ¯ ± 2  ¯ ± 3 . Ex- press each count as a percentage of the total number of measurements. e Compare the percentages found in part d to the percentages given by the Empirical Rule and Chebyshev’s Rule. Problem 2 Consider the following sample { 7 9 6 8 11 7 } a Compute sample z-scores. b Compute the standard deviation of z-scores in a. c Does your result in a. hold for a sample of any numbers? Explain intu- itively. Problem 3 3.28/page 137 Problem 4 In a given population 10% of individuals are educated and 60% are honest. Suppose that one individual is selected at random from this pop- ulation. Answer the following questions assuming that that events: “selected individual is honest” and “selected individual is educated” are independent.
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