Question

5 QUESTION 9 8)-9) A local newspaper has delivery boys who each deliver the morning paper to 50 customers every day. The owner decides to record the number of papers that is not delivered on time for a 8-day period and construct a p chart to see whether the percentage is too erratic. # of Papers Not Delivered on Time Day 4 5 4 1 2 3 4 5 6 7 8 Total: 35 7 2 4 4 Referring to the table, what is the numerical value of the upper controllimit for the p chart? 0.207 0.174 0.894 0.130

Answer 1

A local newspaper has delivery boys who each deliver the paper to 50 customers every day. The owner decides to record the number of papers that are not delivered on a time for 8 days. Day 1 2 4 5 6 7 8 Total: 35 # of Papers Not Delivered on Time 4 5 4 5 7 2. 4 4 So, the number of groups is n=8. The number of samples per group is m= 50. Thus, the total number of units is (nm) = (8x 50) = 400. The non-conforming fraction is calculated as follows: ΣD, i-l pp= mxn (4+5+4+5+7+2+4+4) (508) 35 400 = 0.0875 Thus, the upper control limit for p-chart is derived as follows: p(1-P) UCL = p+3x 0.0875(1-0.0875) = 0.0875+ 3x 50 = 0.0875 +0.11988 = 0.20738 = 0.207 Thus, the numerical value for the upper control limit of the p chart is UCL = 0.207 The correct option is A.