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Must have hand calculations. Thank you.
S6.20Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpen- sive, paper clips have provided the firm with a high margin of profitability. Sample size is 200. Results are given for the last 10 samples: SAMPLE 12 3 45678 9 10 DEFECTIVES a) Establish upper and lower control limits for the control chart and graph the data. b) Has the process been in control? c) If the sample size were 100 instead, how would your limits and conclusions change? Px
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F30 1 Answer:- The given data is We have given that sampel size, n-200 2 5 DEFECTIVES(Di) FRACTION(np)UCL P-BAR LCL 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 0.025 SAMPLE SAMPLE SIZE 0.025 0.035 0.02 0.02 0.03 0.015 0.025 0.03 0.01 0.04 0.25 0.058 0.058 0.058 0.058 0.058 0.058 0.058 0.058 0.058 0.058 4 4 10 12 13 14 15 16 17 18 19 a) 10 Ση: 0.25 k no.of samples-10 2np 0.25 P-bar-Σ np /k: 0.25/10: 0.025 21 P* = 0.025 UCL = 0.025 + 3 * V(0.025 * (1-0.025)) / 200 = 0.025 + 3(0.011) = 0.058 LCL = 0.025-3 * VO·025 * (1-0.025) / 200-0.025-3(0.011) =-0.008 = 0 23 24 25 26 27 28 29 UCL P-bar 3* V( P-bar* (1-P-bar)) /n LCL-P-bar-3* V( p-bar (1-P-bar)) / n If LCL is negative then we will take LCL= 0 31 32

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