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 a

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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 4,500 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 900 of the 4,500 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           SIZECRIME RATE

January                                 10                                                    900                                     0

February                               12                                                      900                                     0

March                                    10                                                     900                                     0

April                                       10                                                     900                                    0

May                                        10                                                     900                                    0

June                                        12                                                   900                                     0

July                                         10                                                    900                                   0

August                                  13                                                      900                                    0

September                          11                                                        900                                  0

October                                14                                                       900                                   0

November                            12                                                      900                                   0

December                             9                                                       900                                    0

a. Determine P , Sp, 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 900 sampled)

February = 12 (out of 900 sampled)

March = 11 (out of 900 sampled)

What comments can you make regarding the crime rate?

multiple choice

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