1. Some citizens complained to Victoria 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 building) should be used proportionately to crime occurrence. The city is divided into 20 geographical areas, each containing 5000 residences. The 1000 sampled from each area showed the following incidences of crime during the past month: Area Crimes Sample Size 1 14 1000 2 3 1000 3 19 1000 4 18 1000 5 14 1000 6 28 1000 7 10 1000 8 18 1000 9 12 1000 10 3 1000 11 20 1000 12 15 1000 13 12 1000 14 14 1000 15 10 1000 16 30 1000 17 4 1000 18 20 1000 19 6 1000 20 30 1000 Suggest a reallocation of crime protection effort based on a p-chart analysis. Use a 95% confidence level ( i.e. z = 1.96) 2. The following table containsthe measurement of the key length dimension from a fuel injector. These sample of size five were taken at one hour interval. Sample number 1 2 3 4 5 1 .486 .499 .493 .511 .481 2 .499 .506 .516 .494 .529 3 .496 .500 .515 .488 .521 4 .495 .506 .483 .487 .489 5 .472 .502 .526 .469 .481 6 .473 .495 .507 .493 .506 7 .495 .512 .490 .471 .504 8 .525 .501 .498 .474 .485 9 .497 .501 .517 .506 .516 10 .495 .505 .516 .511 .497 11 .495 .482 .468 .492 .492 12 .483 .459 .526 .506 .522 13 .521 .512 .493 .525 .510 14 .487 .521 .507 .501 .500 15 .493 .516 .499 .511 .513 16 .473 .506 .479 .480 .523 17 .477 .485 .513 .484 .496 18 .515 .493 .493 .485 .475 19 .511 .536 .486 .497 .491 20 .509 .490 .470 .504 .512 Construct a three sigma X-bar chart and R chart for the length of the fuel. What can you say about this process?