Assume that the chest measurements in Exercise 6.90 are normally distributed with a mean of µ = 39.83 and standard deviation of σ = 2.05.
a. What proportion of the observations would lie between 36.5 and 43.5 inches?
b. Between what two measurements would 95% of the observations lie?
c. What are the actual proportions for parts a and b using the data directly? Comment on the accuracy of the proportions found using assumed normality of the chest measurements.