Refer to the table Factors for Computing Control Chart Limits (3 sigma)

Your supervisor, Lisa Lehmann, has asked that you report on the output of a machine on the factory floor. This machine is supposed to be producing optical lenses with a mean weight of 52 grams and a range of 5 grams. The following table contains the data for a sample size of n=6 taken during the past 3 hours

Sample	1	2	3	4	5	6	7	8	9	10
x	51	53	52	52	54	51	52	53	51	53
R	3	7	4	5	4	6	4	7	6	3

a) What are the x overbar-chart control limits when the machine is working properly?

Calculate the upper control limit of the x overbar-chart

Calculate the lower control limit of the x overbar-chart.

What are the R-chart control limits when the machine is working properly?

Calculate the upper control limit of the R-chart.

Calculate the lower control limit of the R-chart.

The process is in control if all sample mean and range values are within the control limits. What seems to be happening? Has the process been in control? Yes or no?