Fujiyama Electronics needs to construct x - and s -charts for circuit boards tha
ID: 447831 • Letter: F
Question
Fujiyama Electronics needs to construct x- and s-charts for circuit boards that are purchased from an outside supplier. A critical dimension is the distance between two holes on the board that are supposed to be 5 cm apart. Use the data, consisting of 30 samples of size 4 found below. What conclusions do you reach concerning the state of the process? Is it under control? Why or why not?
Sample Number 1 4.92 4.26 4.94 4.29 2 4.65 5.54 5.00 5.42 3 5.77 5.26 4.76 4.79 4 6.25 4.88 5.66 4.44 5 5.27 5.41 6.02 4.91 6 5.22 5.38 5.08 4.65 7 5.47 4.68 4.56 4.70 8 5.71 4.54 4.17 4.87 9 5.24 5.58 4.72 5.41 10 4.42 5.18 4.79 4.73 11 5.14 4.26 4.71 5.48 12 4.92 5.78 5.50 5.05 13 5.79 3.83 4.30 4.78 14 4.92 4.80 4.75 5.59 15 5.68 5.74 4.65 5.20 16 5.43 4.81 5.27 4.96 17 4.79 6.04 4.47 5.18 18 5.03 4.66 5.25 4.46 19 4.30 5.47 4.27 4.34 20 6.07 4.97 5.51 5.02 21 5.11 4.90 5.91 4.66 22 4.50 5.24 4.86 4.35 23 4.91 4.79 5.74 5.03 24 4.65 4.71 4.81 5.32 25 4.70 5.50 6.04 4.30 26 5.87 5.30 5.78 5.07 27 4.41 4.75 4.95 5.11 28 4.92 5.47 4.72 5.02 29 5.68 4.97 4.79 4.66 30 5.43 4.90 4.71 4.35Explanation / Answer
Average =(Sum of samples)/ Total Number of Samples
Range= Max-Min
Standard Deviation= Square Root(1/N*Sum (xi-Average)^2) let xi be each value
Control limit= Standard Deviation(+or -) (3*Standard deviation)
Average 5.17 5.05 5.02 4.87 Standard Deviation 0.51 0.49 0.52 0.37 Range 1.95 2.21 1.87 1.30 Control Limit (Upper Limit) 6.71 6.53 6.58 5.99 Control Limit (Lower Limit) 3.64 3.58 3.47 3.75Related Questions
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