Refer to the table Factors for Computing Control Chart Limits (3 sigma) for this

Question

Refer to the table Factors for Computing Control Chart Limits (3 sigma) for this problem. Autopitch devices are made for both major- and minor-league teams to help them improve their batting averages. When set at the standard position, Autopitch can throw hardballs toward a batter at an average speed of 60 mph. To monitor these devices and to maintain the highest quality, Autopitch executives take samples of 10 devices at a time. The average range is 3 mph. Using this information, construct control limits for x and R charts. For the given sample size, the control limits for the 3-sigma x chart are: UCL units (round your response to three decimal places). Data Table LCL," units (round your response to three decimal places. Sample Size, n Mean Factor, Upper Range, Lower Range, The control limits for the 3-sigma R-chart are: 1.880 1.023 0.729 0.577 0.483 0.419 UCLR units (round your response to three decimal places). 3268 2.574 L CLR # LI units (round your response to three decimal places). 2.115 1.924 1.864 1.816 0.337 0.308 0.266 0.136 0.184 0.223 0.284 12 1.716 Print Done Enter your answer in each of the answer boxes.

Explanation / Answer

1. UCL Xbar = Xbarbar + A2 Rbar

= 60+3x0.308 = 60.924

LCLxbar = Xbarbar -A2Rbar = 59.076

UCLR = D4Rbar = 1.777x3 = 5.331

LCLR = D3Rbar = 0.223x3 =0.669

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