Question

P chart - Crime Rate in Area 51 جيهه 0.01 0.006 0.004 0.002 O 1 2 3 4 5 6 7 8 9 10 11 12

Question 13 (1.5 points) Area 51 The state and local police departments are trying to analyze crime rates so that they can shift their patrols from decreasing rate areas to areas where the rates are increasing. For the analysis, the city and county have been geographically segmented into areas containing 5,000 residents. The police recognize that not all crimes are reported: people do not want to get involved, consider the offenses too small to to report, are embarrassed to make a police report, or do not have the time. Because of this, every month the police are contacting a random sample of 1,000 of the 5,000 residents for data on crime. Here is the p chart data with a 95% confidence level collected from the last 12 months for one area (area 51). The top and bottom solid lines represent the UCL and LCL

What is your recommendation for the police and the community leaders in area 51 based on the data in the chart?

	The last six value show an increase, so crime is increasing and the police presence should also be increased
	there are a total of 5 values below the average, so crime is decreasing and we can move police patrols away from area 51
	There is not enough data on the chart to make a recommendation
	the crime remains between the UCL and LCL with no trend, so the fluctuations are random and police presence should neither be increased nor decreased
	there are a total of 5 values above the average, so crime is increasing and we need to add police patrols to area 51

Answer 1

Here, Correct answer is the crime remains between the UCL and LCL with no trend, so the fluctuations are random and police presence should neither be increased nor decreased

Explanation:

Looking at the graph, we see that all the process data points are in between Upper control limit and Lower control limit, thus, Process data for P chart are in statistical control, hence, Police should neither be increased nor decreased, others options like The last six value show an increase, so crime is increasing and the police presence should also be increased, not matched with the P chart, there are a total of 5 values below the average, so crime is decreasing and we can move police patrols away from area 51is wrong conclusion, thus eliminated, there are a total of 5 values above the average, so crime is increasing and we need to add police patrols to area 51 is wrong conclusion, as no trend is shown, thus, this option also eliminated, again, There is not enough data on the chart to make a recommendation is wrong option as we have sufficient data to make the Interpretation. Thus, this option is also wrong,