The state and local police departments are trying to analyze crime rates so they can shift their patrols from decreasing-rate areas to areas where rates are increasing. The city and county have been geographically segmented into areas 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 1,000 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area: CRIME MONTH INCIDENCE SAMPLE SIZE CRIME RATE 0.007 January February 7 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 0.009 March 7 0.007 Аpril Мay June 7 0.007 7 0.007 9 0.009 July August September October 7 0.007 10 0.010 8 0.008 11 0.011 November December 10 0.010 0.008
The state and local police departments are trying to analyze crime rates so they can shift their patrols from decreasing-rate areas to areas where rates are increasing. The city and county have been geographically segmented into areas 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 1,000 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area: CRIME MONTH INCIDENCE SAMPLE SIZE CRIME RATE 0.007 January February 7 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 0.009 March 7 0.007 Аpril Мay June 7 0.007 7 0.007 9 0.009 July August September October 7 0.007 10 0.010 8 0.008 11 0.011 November December 10 0.010 0.008
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
What would the Sp value be?
Transcribed Image Text:The state and local police departments are trying to analyze crime rates so they can shift their patrols from decreasing-rate areas to
areas where rates are increasing. The city and county have been geographically segmented into areas 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 1,000 of the 5,000 residences for data on crime. (Respondents are
guaranteed anonymity.) Here are the data collected for the past 12 months for one area:
CRIME
SAMPLE SIZE
1,000
1,000
1,000
1,000
1,000
1,000
1,000
1,000
1,000
1,000
1,000
1,000
MONTH
INCIDENCE
CRIME RATE
January
7
0.007
February
March
0.009
7
0.007
April
May
7
0.007
7
0.007
June
9
0.009
July
August
September
October
7
0.007
10
0.010
8
0.008
11
0.011
November
December
10
0.010
8
0.008
a. Determine the P, S, UCL and LCL for a p-chart of 95 percent confidence (at Z= 1.96). (Round your answers to 5 decimal places.)
X Answer is not complete.
p bar
0.00833 O
Sp
UCL
0.01400 O
LCL
0.00270 O
Transcribed Image Text:b. If the next three months show crime incidences in this area as
January = 10 (out of 1,000 sampled)
February = 12 (out of 1,000 sampled)
March = 11 (out of 1,000 sampled)
What comments can you make regarding the crime rate?
The process is in control.
The process is out of control.
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