Solve the following two problem sets. Show your work.

1. Suppose that you have collected the following output data from a process. Observations Sample Number 2 3 4 1 11.3 102 10.6 10.3 2 9.3 10.6 9.7 10.4 3 9.8 10.1 11 10.7 1. Determine CL, UCL, LCL for an R-chart. 2. Determine CL, UCL, LCL for an 7-chart. 3. Suppose the specifications for the process output are 101. If the standard deviation, o, of the process output is estimated to be 0.215 and the firm is seeking four sigma quality, is the process capable of producing at the target quality level? a II. In order to establish a p-chart with 3-sigma control limits, you have collected the following 10 samples of size 300. Sample 1 2 3 4 5 Defects 15 22 17 42 Sample 6 7 8 9 10 Defects 15 21 15 16 18 16 1. Determine CL, UCL, and LCL for the p-chart. 2. Is the process in statistical control? Explain