V. A local newspaper has 10 delivery boys who each deliver the morning paper to
ID: 3200106 • Letter: V
Question
V. 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
from above
1)total number of papers N=5000 and proportion of paper delieved on time P =4630/5000 =0.926
hence option 0.926 is correct
2) for a day newspaers n=10*50 =500
std error =(P(1-P)/n)1/2 =0.0117
hence numerical value of the lower control limit for the p chart =0.926-3*0.0117 =0.891
therefore option C is correct
3) similarly numerical value of the upper control limit for the p chart =0.926+3*0.0117 =0.961
therefore option b is correct
4)
from above it is evident that this is out of control
therefore option D
day number(n) proportion(p) total papers(N)=(n/(p/100)) 1 458 91.60 500 2 447 89.40 500 3 464 92.80 500 4 450 90.00 500 5 432 86.40 500 6 484 96.80 500 7 457 91.40 500 8 494 98.80 500 9 476 95.20 500 10 468 93.60 500 4630 5000 0.926Related Questions
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