A local newspaper has 10 delivery boys who each deliver the morning paper to 50
ID: 3200147 • Letter: A
Question
A local newspaper has 10 delivery boys who each deliver the morning paper to 50 customers every day. The owner decides to record the percentage of papers delivered on time for a 10-day period and to construct a p chart to see whether the percentage of papers delivered on time is too erratic. Based on the following table, answer the following questions:
Number of Papers Proportion of Papers
Day Delivered on Time Delivered on Time
1 458 91.6
2 447 89.4
3 464 92.8
4 450 90.0
5 432 86.4
6 484 96.8
7 457 91.4
8 494 98.8
9 476 95.2
10 468 93.6
4630 925.7
1. What is the numerical value of the center line for the p
chart?
0.926 b) 0.911 c) 0.885 d) 0.500
What is the numerical value of the lower control limit for the p chart?
a) 0.920 b) 0.81 c) 0.891 d) 0.798
What is the numerical value of the upper control limit for the p chart?
a) 0.926 b) 0.961 c) 0.979 d) 1
Which expression best characterizes the p chart?
a) Cycles b) Trend c) In-control d) Out-of-control
Explanation / Answer
1.) Total number of papers delivered = 5000
Number of papers delivered on time = 4630
Center line for the p chart = 4630 / 5000 = 0.926
2.) and 3.)
UCL, LCL = p ± 3*p*(1-p)/n
Where, p = 0.926 and n = 500
After calculations,
LCL = 0.891
UCL = 0.961
4.) In-control
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