# 4 - d standard deviation=4/rad12 The chances...

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Minitab #4 1. a. It is exponential and unimodel but not symmetric. Use Chebyschev’s rule since it isn’t symmetric. b. Range is the least robust and IQR is the most robust, since it is the closest to sd=1. The statistics is skewed, so a robust statistic should be used. (minitab) c. The problem is that the lower bound has negative values, so the interval should be (0,upper). The empirical rule is closer to reality. 2. a. The least volatiles is the exponential function b. If the statistical scheme is working I expect the shape of each of my sample histograms to be skewed to the right and roughly symmetric. c. Chebyschev (exp(1), uniform (-2,2)) and Emperical for normal population.
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Unformatted text preview: d. standard deviation=4/rad12. The chances are .577. (1/4)(2)(1.1547) e. The Empirical rule doesn’t work well, since it is not unimodel. It says to expect about 68% f. The chance that the exponential function will fall under (-1.1547,1.1547) is . 685. The chance that the normal function will fall under (-1.1547,1.1547) is .752. For the exponential function the Chebschev rule works better, since the function is unimodel but not symmetric. However, for Empirical rule works well for the normal function since it is symmetric and unimodel....
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