Consider the dataset of measured chest circumferences of 5732 Scottish soldiers (see Exercises 15.1, 17.6, and XXXXXXXXXXThe Kolmogorov-Smirnov distance between the empirical distribution function and...

Consider the dataset of measured chest circumferences of 5732 Scottish soldiers (see Exercises 15.1, 17.6, and 18.9). The Kolmogorov-Smirnov distance between the empirical distribution function and the distribution function Fx¯n,sn of the normal distribution with estimated parameters ˆµ = ¯xn = 39.85 and ˆσ = sn = 2.09 is equal to

where ¯xn and sn denote sample mean and sample standard deviation of the dataset. Suppose we want to perform a bootstrap simulation with one thousand repetitions for the KS distance to investigate to which degree the value 0.0987 agrees with the assumed normality of the dataset. Describe the appropriate bootstrap simulation that must be carried out.