A quality inspector took five samples, each with four observations ( n = 4), of the length of time for the glue to dry. The analyst computed the mean of each sample and then computed the grand mean. All values are in minutes. Use this information to obtain three-sigma (i.e., z = 3) control limits for means of future times. It is known from previous experience that the standard deviation of the process is .02 minutes (sigma = 0.02 and three-sigma is 3*0.02)

SAMPLE 1 2 3 4 5 1 12.12 Observation XIA W N 12.11 12.10 12.11 12.08 12.10 12.15 12.12 12.10 12.11 12.12 12.09 12.09 12.11 12.15 12.11 12.10 12.08 12.10 12.10 12.09 12.14 12.13 12.12 12.12 Based on this data, is UCL is LCL is and is (Round all your answers to the nearest second decimal point. As such, for example, if your answer is 10.12433, then round it to 10.12.)