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Ch. 2 examples Empirical and Chebyshev

# Ch. 2 examples Empirical and Chebyshev - Empirical and...

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Empirical and Chebyshev’s Rule Review 1. The 2011 US Open statistician reported that the mean serve speed of the best women tennis players was 100 miles per hour (mph) and the standard deviation was 10 mph. a) Assume that the statistician also gave us the information that the distribution of serve speeds was mound shaped and symmetric . What proportion of serves was between 90 mph and 130 mph? b) If nothing is known about the shape of the distribution, give an interval of speeds that will contain the speeds of at least 15/16 serves. c) Suppose that the statistician indicated that the serve speed distribution was skewed to the right . Which of the following values is most likely the value of the median serve speed? a. 105 mph b. 95 mph c. 100 mph d. 108 mph 2. Suppose the average height and standard deviation of 50 students in a class are 66 inch and 3 inch respectively. a) If nothing is known about the shape of the distribution, what proportion represents the number of students outside the interval from 60 to 72 inch? b) If the heights have a mound shaped and symmetric histogram, what proportion of the observations will be less than 57 inch? c) If the heights have a mound shaped and symmetric histogram, what proportion of the observations will be less than 60 and more than 69 inch? 3

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Ch. 2 examples Empirical and Chebyshev - Empirical and...

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