Problem 13-11 (Algo)

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 5,250 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 1,050 of the 5,250 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area:

MONTH	CRIME INCIDENCE	SAMPLE SIZE	CRIME RATE
January	7	1,050	0
February	9	1,050	0
March	7	1,050	0
April	7	1,050	0
May	7	1,050	0
June	9	1,050	0
July	7	1,050	0
August	10	1,050	0
September	8	1,050	0
October	9	1,050	0
November	14	1,050	0
December	13	1,050	0

a. Determine the P , S_p,UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96). (Round your answers to 5 decimal places.)

Problem 13-11 (Algo)

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 5,250 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 1,050 of the 5,250 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area:

MONTH	CRIME INCIDENCE	SAMPLE SIZE	CRIME RATE
January	7	1,050	0
February	9	1,050	0
March	7	1,050	0
April	7	1,050	0
May	7	1,050	0
June	9	1,050	0
July	7	1,050	0
August	10	1,050	0
September	8	1,050	0
October	9	1,050	0
November	14	1,050	0
December	13	1,050	0

a. Determine the P , S_p,UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96). (Round your answers to 5 decimal places.)

P _________

SP ________

UCL ________

LCL ________

b. If the next three months show crime incidences in this area as

January = 10 (out of 1,050 sampled)

February = 12 (out of 1,050 sampled)

March = 11 (out of 1,050 sampled)

What comments can you make regarding the crime rate?

multiple choice

• The process is in control.
• The process is out of control.

b. If the next three months show crime incidences in this area as

January = 10 (out of 1,050 sampled)

February = 12 (out of 1,050 sampled)

March = 11 (out of 1,050 sampled)

What comments can you make regarding the crime rate?

multiple choice

• The process is in control.
• The process is out of control.