This is the exhibit 10.13

Exhibit 10.13 - Factor for Determining 3-Sigma Limits for R-bar and x-bar Charts Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 10.13 . To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits. a. Calculate the mean and range for the above samples. (Round "Mean" to 2 declmal places and "Ronge" to the nearest whole number.) b. Determine X and R. (Round your answers to 3 deelmel pleces.) c. Determine the UCL and LCL for a X chart. (Round your answers to 3 declmal places.) d. Determine the UCL and LCL for R-chart. (Leeve no cells blank - be certaln to enter "O" wherever requlred. Round your answers to 3 decimal pleces.) e. What comments can you make about the process? Process is in statistical control Process is out of statistical control