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tically uaing a about how much much is due to A PNC lathes machines 3 different

ID: 339515 • Letter: T

Question

tically uaing a about how much much is due to A PNC lathes machines 3 different types of bearings with diameters of 100, 120, and 150 mm. Since part requirements are few, batch runs are small and expensive to do extensive sampling. Consequently, batches are combined and measured as deviations from nominal A sample of"15, five for each part ???, consisting of 3 samples is given below. You are to rueasured a caleulate upper and lower control limits for both X-bar and R charts. Sample Part X3 x-bar 3.33 0.33 0.67 0.67 2.67 Number Typ X2 1.33 2.67 0.00 0.00 1.33 0.33 0.33 0.33 -0.33 0 0 3 10 3 12 13 14 -2 3 15 0.00 3.87 Average

Explanation / Answer

For sample size = 3, from control chart table for X and R,

Factor for LCL R chart = 0

Factor for UCL R chart = 2.574

Control factor for X chart = 1.023

Average X-bar = 0.69

Average R = 3.87

Lower control limit for X-bar = Average X-bar - (Control factor for X chart)*Average R

= 0.69 - 1.023*3.87

= -3.27

Upper control limit for X-bar = Average X-bar + (Control factor for X chart)*Average R

= 0.69 + 1.023*3.87

= 4.65

Lower control limit for R = Factor for LCL R chart*Average R

= 0*3.87

= 0

Upper control limit for R = Factor for UCL R chart*Average R

= 2.574*3.87

= 9.96