Question: 2. (20 marks) A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running,

2. (20 marks) A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running, a sample of 4 tubes is taken every three hours and weighed with the following results: Time 7 am 6.69 Weight of toothpaste (ounces) 6.79 6.77 10 am 6.71 6.76 6.73 1 pm 6.76 6.66 6.74 6.67 4 pm 6.71 6.73 6.75 6.72 7 pm 6.76 6.75 6.75 6.75 6.77 6.70 a. Calculate control limits for the range and mean charts, and discuss whether or not the process is in statistical control. b. The sample data for a subsequent week had the values: 6.75, 6,63, 6.80, and 6.70. What conclusion can be reached about the state of the process

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