a. Use the computer commands on page 90 to randomly generate a sample of 100 data from a uniform (nonnormal) distribution that has a low value of 1 and a high value of 10. Construct a histogram using class boundaries of 0 to 11 in increments of 1 (see the commands on pp. 52€“54). Calculate the mean and the standard deviation using the commands found on pages 64 and 78; then inspect the histogram to determine the percentage of the data that fell within each of the 1, 2, 3, and 4 standard deviation intervals. How closely do these percentages compare to the percentages claimed in Chebyshev€™s theorem and in the empirical rule?
b. Repeat part a. Did you get results similar to those in part a? Explain.
c. Consider repeating part a several more times. Are the results similar each time? If so, in what way are they similar?
d. What do you conclude about the truth of Chebyshev€™s theorem and the empirical rule?