Refer to Exercise 1.26 and data set EX0126. The lengths of time (in months) between the onset of a particular illness and its recurrence were recorded:

The length of time (in months) between the onset of a particular illness and its recurrence was recorded for n = 50 patients:

a. Examine the data and count the number of observations that fall into the intervals ± s, ± 2s, and ± 3s.
b. Do the percentages that fall into these intervals agree with Tchebysheff's Theorem? With the Empirical Rule?
c. Why might the Empirical Rule be unsuitable for describing these data?
For Information: Exercise 2.57.

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2.1 4.4 27 32.3 9.9 9.0 2.0 6.6 3.9 1.6 4.7 9.6 6.7 7.4 8.2 9.2 6.9 4.3 3.3 12 4.1 18.4 2 13.5 7.4 2 8.3 31.3 4.1 10 24 24 18.0 8.7 24.0 4 8.2 5.8 1.6 3.5 .4 8.0 26.7 3.7 12.6 23 5.6 4 2.1 4.4 2.7 32.3 9.9 9.0 2.0 6.6 3.9 16 14.7 9.6 16.7 74 8.2 9.2 6.9 4.3 33 1.2 4.1 18.4 2 6. 13.5 7.4 2 8.3 3 1.3 14.1 1.0 24 2.4 18.0 8.7 24.0 1.4 8.2 5.8 1.6 3.5 11.4 18.0 26.7 3.7 12.6 23.1 5.6 4