Social Workers The following table shows the number of social Workers and the number of cases (the case load) handled by the social workers for two offices. The number of social workers for each office was determined by using the Huntington-Hill apportionment method.
A new social worker is to be hired for one of the offices.
a. Use the apportionment principle to determine to which office the social worker should be assigned.
b. Use the Huntington-Hill apportionment principle to determine to which office the new social worker should be assigned. How does this result compare with the result in part a?
c. The results of part b indicate that the new social worker should be assigned to the Valley office. At this moment the Hill Street office has 20 social workers and the Valley office has 25 social workers. Use the Huntington-Hill apportionment principle to determine to which office the next new social worker should be assigned. Assume the case loads remain the same.
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Chapter 4 Solutions
MATHEMATICAL EXCURSIONS>LL<
- A hospital district consists of six hospitals. The district administrators have decided that 48 new nurses should be apportioned based on the number of beds in each of the hospitals. The following table shows the number of beds in each hospital Hospital Number of Beds Sharp 242 Palomar 356 Tri - City 308 Del Raye 190 Rancho Verde 275 Bel Aire 410 1. Use Adam's Method to determine the number of nurses to be apportioned to each hospital. 2. Use Huntington -Hill to determine the number of nurses to be apportioned to each hospital. 3. Use Hamilton's Method to determine the number of nurses to be apportioned to each hospital.arrow_forwardSally lives in City A and works for the department of transportation. She needs to inspect the weigh stations in each of six cities other than City A. In how many ways can she reach each of these cities and return to her home in City A?arrow_forwardPlease show working outs.arrow_forward
- The population for the following district is subdivided by region: Region 15 has 452 students Region 16 has 248 students Region 17 has 275 students If an organization selects 3 students to represent the district, calculate the standard divisor needed to be eligible for representation of the region. Round your answer to 2 decimal places.arrow_forwardSee image for question details.arrow_forwardA state fisheries commission wants to estimate the number of bass caught in a givenlake during a season in order to restock the lake with the appropriate number ofyoung fish. The commission has information on the seasonal catch (CATCH) inthousands of bass per square mile; the size of the lake in square miles (SIZE); thenumber of lakeshore residences per square mile (RESIDENCE); the number of livingplaces for bass (i.e. weed beds, sunken trees, drop offs etc.) (STRUCTURE) andACCESS a dummy variable equal to 1 if the lake has public access and 0 if not. What do you think are the expected signs of the regression coefficients?Justify your choice. Using R-studio, estimate the multiple linear regression model. ALL input codes and output tables should be provided.(b) Is the overall regression equation statistically significant at the 1% level?Justify your answer. Ensure that you state the null hypothesis(es) and thedecision rule in your analysis.(c) Find and interpret a 95% confidence…arrow_forward
- A fast-food restaurant compiled the following information regarding its employees.20 cooked or worked the drive-through window. 10 cooked only6 worked drive-through window onlyHow many of the employees cooked and worked drive-through window ?arrow_forwardII. With 75 representatives. Use the Jefferson's method to determine the number of representatives each county should have. (20PTS) COUNTY Bristol Kent Newport Providence Washington POPULATION 49,875 166,158 82,888 626,667 126,979arrow_forwardShelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below: Honor roll Not on honor roll Total Received math class requested 125 215 340 Did not get math class requested 80 80 160 Total 205 295 500 Help Shelly determine if all students at her school have an equal opportunity to get into the math class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.arrow_forward
- Audrey Graco plans to conduct book signings in several cities to promote her new novel. She wishes to visit Knoxville, Chattanooga, Chapel Hill, Charlotte, Raleigh, and Richmond. How many different ways can she visit each of these cities and return to her starting point in Wilmington? OO A. 30 OB. 29 OC. 720 OD. 120arrow_forwardi need the answer quicklyarrow_forwardII. COMBINATIONS From 6 statisticians and 5 economists, a committee consisting of 3 statisticians and 2 economists is to be formed. How many different committees can be formed if: a. no restrictions are imposed b. 2 particular statisticians must be on the committeearrow_forward