Refer to Data Set 27 "M&M Weights" in Appendix B and use the weights (grams) of all of the listed M&Ms.
a. Find the mean and standard deviation, and verify that the data have a distribution that is roughly normal.
b. Treating the unrounded values of the mean and standard deviation as parameters, and assuming that the weights are normally distributed, find the weight separating the lowest 0.5% and the weight separating the highest 0.5%. These values could be helpful when quality control specialists try to control the manufacturing process.