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Marcelino's grocery does inventory on a sample of refrigerated products each week and notes the number of days until their expiration date. So, the more

Marcelino's grocery does inventory on a sample of refrigerated products each week and notes the number of days until their expiration date. So, the more days until expiration, the better. Items with a sell by expiration date of 2 days or less need to be discounted and eventually thrown away if not sold (Thus, they set LSL = 3 days). The store wants to reduce the number of heavily discounted or thrown out items by achieving a Cpk >1 (vs. current levels of performance). From the historical data collected, the average number of days until expiration is 10 with a standard deviation of 4. First, calculate the current state performance of meeting their requirement using LSL = 3 days. Then determine the improvement needed to the mean or standard deviation to achieve a Cpk >1. Assume a normal distribution and round to nearest values. Calculate the percent defective

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