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show your work pleaae Problem 1. [15 points ] Breeze Toothpaste Company has been having a problem with some of the tubes of toothpaste leaking.

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Problem 1. [15 points ] Breeze Toothpaste Company has been having a problem with some of the tubes of toothpaste leaking. The tubes are packed in containers with 100 tubes each. Ten containers of toothpaste have been sampled. The following number of toothpaste tubes were found to have leaks: Develop a p-chart with 3 -sigma control limits and evaluate whether the process is in statistical control. Problem 2. [15 points] U-learn University uses a c-chart to monitor student complaints per week. Complaints have been recorded over the past ten weeks. Develop 3-sigma control limits using the following data and evaluate whether the process is in statistical control. Problem 3. [20 points] Meena Chavan Corp.'s computer chip production process yields DRAM chips with an average life of 1,800 hours and =100 hours. The tolerance upper and lower specification limits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAM chips to specification? (a) Use the process capability ratio (Cp). (b) Use the process capability index (Cpk)

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