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Variety Sauce Experts (VSE) are famous due the production of different sauces. Among these sauces, plum sauce is the most demanded sauce. Jim, the operations manager of the plant, wants to make sure that the production process is producing products within acceptable tolerance limits where each bottle of plum sauce should weigh within 4604.75 grams. To test this, the operator takes several sample measurements and determines the mean of the process to be 460.85 grams with a standard deviation of 2.695 grams. (a) Calculate the process capability index and interpret it. (b) What percent of the current production is expected to be within the given tolerance limits? After making several improvements to the production system, now the process has to be closely monitored for any deviation. Martha, working in quality control department, wants to develop an X-bar chart and an R-chart by using the given table values. The sample data collected for this process is partially shown below: Three sigma control limits are to be applied in the statistical process control of this item. (c) Determine the upper and lower control limits of the X-bar chart and the R-chart. Plot X-bar chart and the R-chart. Is the process in control? Briefly explain why