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.

The quantitative data set under consideration has roughly a bell-shaped distribution. For each exercise,

a. Construct a graph similar to Fig. 3.8 on page 118.

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.