Answered: a. Determine P, Sp, UCL and LCL for a p… | bartleby

Practical Management Science

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 54P

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Question

Some citizens complained to city council members that there should be equal protection under the law against the occurrence of
crimes. The citizens argued that this equal protection should be interpreted as indicating that high-crime areas should have more
police protection than low-crime areas. Therefore, police patrols and other methods for preventing crime (such as street lighting or
cleaning up abandoned areas and buildings) should be used proportionately to crime occurrence.
The city has been broken down into 20 geographic areas, each containing 5,000 residences. The police recognize that not all crimes
and offenses are reported: people do not want to become involved, consider the offenses too small to report, are too embarrassed to
make a police report, or do not take the time, among other reasons. Every month, because of this, the police are contacting by phone
a random sample of 800 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) The 800 sampled from
each area showed the following incidence of crime during the past month:
AREA
1
2
3
4
5
6
7891011 12 1314 15 16 17 18 19 20
NUMBER OF
CRIMES
– នហដដ៩៨៩ន ៨៩៥៩៨៩៩ ៣៦
33
327
SAMPLE SIZE CRIME RATE
0.01875
800
800
0.00625
800
0.02500
0.02375
0.01875
0.03750
800
800
800
800
800
800
800
800
800
0.01375
0.02250
0.01625
0.00500
0.02750
0.02000
800
0.01625
0.01875
0.01375
0.04125
⠀⠀⠀⠀⠀⠀⠀⠀
800
0.0033 X
0.0008 X
0.0049 X
0.0017 X
800
800
800
800
800
800
0.00625
0.02750
0.00875
0.04125
a. Determine P, Sp, UCL and LCL for a p chart of 95 percent confidence (at Z= 1.96).
Note: Round your answers to 4 decimal places.
> Answer is complete but not entirely correct.
p bar
Sp
UCL
LCL

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