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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 5,000 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 1,000 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area: CRIME MONTH INCIDENCE SAMPLE SIZE CRIME RATE January 7 1,000 0.007 February 9 1,000 0.009 March 7 1,000 0.007 April 7 1,000 0.007 May 7 1,000 0.007 June 9 1,000 0.009 July 7 1,000 0.007 August 10 1,000 0.010 September 8 1,000 0.008 October 11 1,000 0.011 November 10 1,000 0.010 December 8 1,000 0.008 a. Determine the P, Sp, UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96). Note: Round your answers to 5 decimal places. p bar Sp UCL LCL b. If the next three months show crime incidences in this area as January 10 (out of 1,000 sampled) February 12 (out of 1,000 sampled) March 11 (out of 1,000 sampled) What comments can you make regarding the crime rate? The process is in control. The process is out of control.

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 5,000 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 1,000 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area: CRIME MONTH INCIDENCE SAMPLE SIZE CRIME RATE January 7 1,000 0.007 February 9 1,000 0.009 March 7 1,000 0.007 April 7 1,000 0.007 May 7 1,000 0.007 June 9 1,000 0.009 July 7 1,000 0.007 August 10 1,000 0.010 September 8 1,000 0.008 October 11 1,000 0.011 November 10 1,000 0.010 December 8 1,000 0.008 a. Determine the P, Sp, UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96). Note: Round your answers to 5 decimal places. p bar Sp UCL LCL b. If the next three months show crime incidences in this area as January 10 (out of 1,000 sampled) February 12 (out of 1,000 sampled) March 11 (out of 1,000 sampled) What comments can you make regarding the crime rate? The process is in control. The process is out of control.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
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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 5,000 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 1,000 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area: CRIME MONTH INCIDENCE SAMPLE SIZE CRIME RATE January 7 1,000 0.007 February 9 1,000 0.009 March 7 1,000 0.007 April 7 1,000 0.007 May 7 1,000 0.007 June 9 1,000 0.009 July 7 1,000 0.007 August 10 1,000 0.010 September 8 1,000 0.008 October 11 1,000 0.011 November 10 1,000 0.010 December 8 1,000 0.008 a. Determine the P, Sp, UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96). Note: Round your answers to 5 decimal places. p bar Sp UCL LCL b. If the next three months show crime incidences in this area as January 10 (out of 1,000 sampled) February 12 (out of 1,000 sampled) March 11 (out of 1,000 sampled) What comments can you make regarding the crime rate? The process is in control. The process is out of control.
Transcribed Image Text: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 5,000 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 1,000 of the 5,000 residences for data on crime. (Respondents are guaranteed anonymity.) Here are the data collected for the past 12 months for one area: CRIME MONTH INCIDENCE SAMPLE SIZE CRIME RATE January 7 1,000 0.007 February 9 1,000 0.009 March 7 1,000 0.007 April 7 1,000 0.007 May 7 1,000 0.007 June 9 1,000 0.009 July 7 1,000 0.007 August 10 1,000 0.010 September 8 1,000 0.008 October 11 1,000 0.011 November 10 1,000 0.010 December 8 1,000 0.008 a. Determine the P, Sp, UCL and LCL for a p-chart of 95 percent confidence (at Z = 1.96). Note: Round your answers to 5 decimal places. p bar Sp UCL LCL b. If the next three months show crime incidences in this area as January 10 (out of 1,000 sampled) February 12 (out of 1,000 sampled) March 11 (out of 1,000 sampled) What comments can you make regarding the crime rate? The process is in control. The process is out of control.
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