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. p bar Sp UCL LCL b. What can you say about the process? O Process is in statistical control. O Process is out of statistical control.

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Problem 10-28 (Algo)
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
9
10
11
12
13
14
15
16
17
18.
19
20
NUMBER OF
CRIMES
14
4
19
28
10
17
12
5
20
15
12
14
10
30
6
20
8
30
306
SAMPLE SIZE CRIME RATE
800
0.01750
800
0.00500
800
0.02375
0.02250
800
800
800
800
800
800
800
800
800
800
800
800
800
600
800
800
800
0.01750
0.03500
0.01250
0.02125
0.01500
0.00625
0.02500
0.01875
0.01500
0.01750
0.01250
0.03750
0.00750
0.02500
0.01000
0.03750
Transcribed Image Text:Problem 10-28 (Algo) 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 9 10 11 12 13 14 15 16 17 18. 19 20 NUMBER OF CRIMES 14 4 19 28 10 17 12 5 20 15 12 14 10 30 6 20 8 30 306 SAMPLE SIZE CRIME RATE 800 0.01750 800 0.00500 800 0.02375 0.02250 800 800 800 800 800 800 800 800 800 800 800 800 800 600 800 800 800 0.01750 0.03500 0.01250 0.02125 0.01500 0.00625 0.02500 0.01875 0.01500 0.01750 0.01250 0.03750 0.00750 0.02500 0.01000 0.03750
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.
p bar
Sp
UCL
LCL
b. What can you say about the process?
O Process is in statistical control.
O Process is out of statistical control.
Transcribed Image Text: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. p bar Sp UCL LCL b. What can you say about the process? O Process is in statistical control. O Process is out of statistical control.
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