Assuming you calculated X-bar and R control chart limits for the samples taken from a process. Samples size equals to five. Table 1 shows the control chart limits you calculated. The data in one of the samples is shown in Table 2. Answer the questions below, if you make your decisions only based on the data shown in Table 2 and Table 1.

Table 1

X-bar chart: R chart:

UCL = 214.46 UCL = 12.7

CL = 212 CL = 6

LCL = 210.53 LCL = 0

Table 2

220 218 216 210 216

1. (10 pts.) Is this process IN CONTROL or OUT OF CONTROL, and why?
2. (7.5 pts.) What is the CAPABILITY of this process if the specifications are at 216 5 and process standard deviation unknown?
3. (7.5 pts.) What is the CAPABILITY of this process if the specifications are at 215 5 and process standard deviation is known to be one?
4. (5 pts.) Estimate the process mean and standard deviation assuming process standard deviation is unknown.