Old Faithful The data below are 30waiting times between eruptions of the OldFaithful

Chapter 2, Problem 33

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Old Faithful The data below are 30waiting times between eruptions of the OldFaithful geyser in Yellowstone National Park.856 89 51 79 58 82 52 88 52 78 69 75 77 72 7155 87 53 85 61 93 54 76 80 81 59 86 78 71 77a. Calculate the range.b. Use the range approximation to approximate thestandard deviation of these 30 measurements.c. Calculate the sample standard deviation s.d. What proportion of the measurements lie within twostandard deviations of the mean? Within threestandard deviations of the mean? Do theseproportions agree with the proportions given inTchebysheffs Theorem?

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