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 5,200 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 1,040 of the 5,200 residences for data on crime. (Residents are guaranteed anonymity). Here are the data collected for the past 12 months for one area MONTH                CRIME INCIDENCE            SAMPLE SIZE      CRIME RATE January                11                                           1,040                     0 February              13                                           1,040                     0 March                   11                                           1,040                     0                                                                              April                       11                                           1,040                     0              May                       12                                           1,040                     0 June                      13                                           1,040                     0 July                        11                                           1,040                     0                                              August                  14                                           1,040                     0 September         13                                           1,040                     0              October               15                                           1,040                     0 NOVEMBER        15                                           1,040                     0 DECEMBER          15                                           1,040                     0   Determine the P, Sp, UCL, AND LCL for p-chart pf 95 % confidence (at Z= 1.96). If the next 3 months show crime incidences in this area as January= (10 out of 1,040 sampled) February = 12 (out of 1,040 sampled) March = 11(out of 1,040 sampled) Is the process in control or is it out of control?

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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 5,200 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 1,040 of the 5,200 residences for data on crime. (Residents are guaranteed anonymity). Here are the data collected for the past 12 months for one area

MONTH                CRIME INCIDENCE            SAMPLE SIZE      CRIME RATE

January                11                                           1,040                     0

February              13                                           1,040                     0

March                   11                                           1,040                     0                                                                             

April                       11                                           1,040                     0             

May                       12                                           1,040                     0

June                      13                                           1,040                     0

July                        11                                           1,040                     0                                             

August                  14                                           1,040                     0

September         13                                           1,040                     0             

October               15                                           1,040                     0

NOVEMBER        15                                           1,040                     0

DECEMBER          15                                           1,040                     0

 

  • Determine the P, Sp, UCL, AND LCL for p-chart pf 95 % confidence (at Z= 1.96).
  • If the next 3 months show crime incidences in this area as January= (10 out of 1,040 sampled)

February = 12 (out of 1,040 sampled)

March = 11(out of 1,040 sampled)

Is the process in control or is it out of control?

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