1.- Whats //x( double hat x) ? (two decimal places)

2.-What's the value of R hat? (two decimal places)

3.-What are the UCLx and LCLx using 3 sigma? (two decimal places)

4.-What are the UCLr and LCLr using 3 sigma? (using two decimal places)

Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. 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 1 2 3 4 5 Mean x (mm) 156.9 151.2 151.6 157.5 158.6 Range R (mm) 4.2 4.6 3.9 4.8 4.7 a) What is the value of ? = X = mm (round your response to two decimal places). Upper Range, Sample Size, n DA Lower Range, D3 2 0 3 0 01 N 4 0 5 0 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 6 0 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 7 8 . 9 9 10 12 0.076 0.136 0.184 0.223 0.284