Question: Please show all or any work needed. Please answer all parts. S6.7 Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging

Please show all or any work needed. Please answer all parts.

S6.7 Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: DAY MEAN (MM) RANGE (MM) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 a. What is the value of ? b. What is the value of ? c. What are the and using 3o? Plot the data. d. What are the and , using 3o? Plot the data. e. If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new and ? S6.7 Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: DAY MEAN (MM) RANGE (MM) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 a. What is the value of ? b. What is the value of ? c. What are the and using 3o? Plot the data. d. What are the and , using 3o? Plot the data. e. If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new and

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