Discuss the below:
Q: In order to ensure a process is in filling 12.0 ounce containers of coffee remains in control, a worker periodically selects at random a box of six containers and measures their weight. Historically, when the process is in control, the average container fill weight is 12.0 ounces while the range of the weight of coffee samples averages 0.6 ounces. Using this information, answer the following two questions.
Sample R
1 12.1 0.7
2 11.8 0.4
3 12.3 0.6
4 11.5 0.4
5 11.6 0.9
a. If a sample size (n) of 6 is used, what are appropriate 30 upper and lower control limits for both a means chart and a range chart.
b. The measurements of weight, both sample mean and sample range, from five new samples each consisting of six containers, are shown below. Is the process in or out of control? Explain your answer