Boxes of 50 small packages of M&M's milk chocolate candies, produced by Mars, should weigh 625 grams. Therefore, Mars has to ensure that there are enough candies in each package. Suppose two packages of M&M's were sampled every hour from the packaging machine during a six-hour period and the number of candies in each package was:

a. Calculate the sample mean and sample range for each sample.

b. Calculate the average of sample means and sample ranges.

c. Calculate the control limits for sample mean and sample range control charts.

d. Was the process in control? Why?

e. Suppose that the above control limits were then used to control the process. The next day, two packages were sampled and they contained 17 and 14 candies, respectively. Was the packaging machine still in control? Why

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