A company that manufactures ladies hand bags wants to determine if their buffing process is working properly. They take 4 observations per day and record the amount of time (in minutes) it takes to buff each bag. The following information is provided. Days 1 2 3 4 5 6 7 11.110 10.350 10.900 11.150 10.900 11.080 11.100 11.100 10.950 11.090 10.900 10.950 11.070 11.100 Time (Minutes) 10.900 11.300 11.110 10.800 10.950 11.080 11.050 11.080 11.100 11.050 11.100 11.100 10.900 10.800 The management wants to set 2 sigma limits for its process control chart for the mean. The population standard deviation is 0.06. a) Is the process in control? Why? (or Why not?) Please show all your work. b) If management standards are within 10.85-11.15 minutes, what percent of the time this process does not meet this standard? Please show all your work.