In: Operations Management
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 5,250 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.) The 1,050 sampled from each area showed the following incidence of crime during the past month: AREA NUMBER OF CRIMES SAMPLE SIZE CRIME RATE 1 15 1,050 0.014 2 4 1,050 0.004 3 20 1,050 0.019 4 19 1,050 0.018 5 15 1,050 0.014 6 30 1,050 0.029 7 15 1,050 0.014 8 18 1,050 0.017 9 13 1,050 0.012 10 5 1,050 0.005 11 22 1,050 0.021 12 16 1,050 0.015 13 13 1,050 0.012 14 15 1,050 0.014 15 11 1,050 0.010 16 33 1,050 0.031 17 6 1,050 0.006 18 22 1,050 0.021 19 8 1,050 0.008 20 33 1,050 0.031 333 a. Determine 1formula80.mml, Sp, UCL and LCL for a p chart of 95 percent confidence (at Z = 1.96). (Round your answers to 4 decimal places.) formula67.mml Sp UCL LCL b. What can you say about the process? Process is in statistical control. Process is out of statistical control.