Various chemical tests were conducted on beeswax by White, Rieth of, and Kushnir (1960). In particular, the percentage of hydrocarbons in each sample of wax was determined.
a Plot the ecdf, a histogram, and a normal probability plot of the percentages of hydrocarbons given in the following table. Find the .90, .75, .50, .25, and .10 quantiles. Does the distribution appear Gaussian?
b The average percentage of hydrocarbons in microcrystalline wax (a synthetic commercial wax) is 85%. Suppose that beeswax was diluted with 1% microcrystalline wax. Could this be detected? What about a 3% or a 5% dilution? (Such questions were one of the main concerns of the beeswax study.)