Jamison Kovach Supply Company manufactures paper clips and o

Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is 50. Results are given for the last 10 samples. Sample Defectives 4 10 12 5 12 The type of control chart that is best to monitor this process is p -chart a) Establish the control limits to include 99.73% of the random variation in defectives. UCL 0.261 (enter your response as a number between O and 1, rounded to three decimal places). LCLD 0.000 (enter your response as a number between O and 1, rounded to three decimal places) b) Has the process been in control? Based on the developed control limits, the number of defectives has been

Solution

Sample size(n) 50 Sample Defectives Proportion defective 1 5.00 0.10 2 7.00 0.14 3 3.00 0.06 4 6.00 0.12 5 12.00 0.24 6 5.00 0.10 7 5.00 0.10 8 5.00 0.10 9 1.00 0.02 10 12.00 0.24 Average proportion defective(p-bar) 0.12 Average of all proportions Std dev of proportion defectives 0.05 Using the formula - sqrt(p-bar*(1-p-bar)/n) UCL 0.26 99.73% is nothing but 3 sigma limits on either side LCL 0.00 Since we cannot have a negetive LCL so 0 Yes as we can see for all the samples proportion defectives are within the limits meaning process is in control No of defectives 0.00