I. (5 points) 250 iid observations Y1, Y2,-.., Yes from a process yield the following normal probability plot. Normal Reference Distribution Plot Sample Quantile Function -3.0 -2.0 -1.0 0.5 1.0 1.5 2.0 2.5 3.0 Normal(0,1) Quantiles . Using the above plot, describe the process distribution relative to a normal distribution with respect to tail weight and symmetry. II. ( 10 points) A new graphite composition is under consideration for golf club shafts. A random sample of 280 shafts were tested for strength by placing a fixed stress at specified locations on each shaft. Assuming that each shaft has a uniform composition, the number of breaks on a given shift should have a Poisson distribution with average number of breaks per square inch of shaft, A, an unknown constant. The following table summarizes the number of breaks found on the 280 shafts: Breaks/Shaft 0 1 2 3 4 5 total Frequency 121 110 38 7 3 280 . Use a GOF test to assess whether a Poisson model provides an adequate fit to the data