Consider the following observations on a receptor binding measure (adjusted distribution volume) for a sample of 13 healthy individuals: 24, 38, 39, 42, 43, 46, 50, 57, 64, 66, 68, 69, 72. (a) Is it plausible that the population distribution from which this sample was selected is normal?(b) Calculate an interval for which you can be 95% confident that at least 95% of all healthy individuals in the population have adjusted distribution volumes lying between the limits of the interval. (c) Predict the adjusted distribution volume of a single healthy individual by calculating a 95% prediction interval. How does this interval's width compare to the width of the interval calculated in part (b)?