In each of the Exercises, the quantitative data set under consideration has roughly a bell-shaped distribution. For each exercise,

a. Construct a graph similar to Fig. 3.8.

b. Apply Property 1 of the empirical rule to make pertinent statements about the observations in the sample

c. Repeat part (b) for Property 2 of the empirical rule

d. Repeat part (b) for Property 3 of the empirical rule

Fig. 3.8

In 1905, R. Pearl published the article “Biometrical Studies on Man. I. Variation and Correlation in Brain Weight” (Biometrika, Vol. 4, pp. 13–104) in which he studied the brain weights of Swedish males. The brain weights of a random sample of 225 Swedish men have a mean of 1.40 kg and standard deviation 0.11 kg.

X-3s 15.44 X-2s 16.56 X-S 17.68 Ix 18.80 X+S 19.92 X + 2s 21.04 x + 3s 22.16