EBK MATHEMATICS: A PRACTICAL ODYSSEY
8th Edition
ISBN: 8220100546112
Author: MOWRY
Publisher: Cengage Learning US
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Chapter 6.2, Problem 14E
To determine
Apportion of the bureaucratic seats of an international bureau by using Hamilton’s method for the given condition.
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Students have asked these similar questions
1. World's Richest. Each year, Forbes magazine publishes a list of the world's richest people. In
2009, the six richest people, their citizenship, and their wealth (to the nearest billion dollars)
Wealth ($ billion)
Citizenship
United States
Name
Willlam Gate (G)
Warren Buffett (B)
Carlos Slim Helu (H)
40
United States
38
Мexico
35
United States
Lawrence Ellison (E)
Karl Albrecht (A)
23
Sweden
22
Ingvar Kamprad (K)
Germany
22
a. Calculate the mean wealth, µ, of the six people.
For samples of size 2, construct a table and calculate the means for samples of size 2.
c. For a random sample of size 2, what is the chance that the sample mean will equal the
population mean?
d. For a random sample of size 2, determine the probability that the mean wealth of the two
people obtained will be within 2 (i.e., $2 billion) of the population mean. Interpret your result in
terms of percentages.
b.
Suppose that the governors of three midwestern region states have agreed to form an interstate bureau to foster historical awareness, tourism, and commerce. The bureau will have ten seats, and the populations of the states are given in the figure shown below. Use Hamilton's Method to apportion the bureau seats.
State
A
B
C
Population
9,938,480
5,363,704
4,819,485
Seats
mpie
(including the District of Columbia).
Pacific
177,336
West South
Central
229,634
Mountain
89,816
West North
68,440
64,564
East North
26,384
East South
Central
Central
Central
South
8,579
376,034
Middle
41,441
New England
Atlantic
Atlantic
Source: U.S. Census Bureau, Statistical Abstract of the United States: 2012, Table 508 (data) and U.S. Census
Bureau, Census Regions and Divisions of the United States (regions).
a. Calculate the mean and standard deviation for the population.
Chapter 6 Solutions
EBK MATHEMATICS: A PRACTICAL ODYSSEY
Ch. 6.1 - Four candidates, Alliotti, Baker, Cruz, and Daud,...Ch. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 - Number of Ballots Cast 6 8 7 10 15 1st choice C C...Ch. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Four candidates, Harrison H, Lennon L, McCartney...Ch. 6.1 - Prob. 13ECh. 6.1 - Five candidates, Fino F, Gempler G, Holloway H,...Ch. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - In an election, there are seven candidates. a....Ch. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Prob. 24ECh. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - What is Arrows Impossibility Theorem?Ch. 6.2 - A small country consists of three states, A, B and...Ch. 6.2 - A small country consists of three states, A, B and...Ch. 6.2 - Suppose that the governors of three Middle...Ch. 6.2 - Suppose that the governors of three midwestern...Ch. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - A local school district contains four middle...Ch. 6.2 - A local school district contains four elementary...Ch. 6.2 - Prob. 11ECh. 6.2 - In J.R.R. Tolkiens Middle Earth, the regions in...Ch. 6.2 - Prob. 13ECh. 6.2 - Prob. 14ECh. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Prob. 32ECh. 6.2 - Use the Hill-Huntington Method to determine how...Ch. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Prob. 44ECh. 6.2 - Prob. 45ECh. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - What is apportionment?Ch. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Prob. 57ECh. 6.2 - Since the founding of the United States, what...Ch. 6.2 - Prob. 59ECh. 6.2 - Prob. 60ECh. 6.3 - A small country consists of three states: A, B,...Ch. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - A small country consists of four states: A, B, C,...Ch. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - A small country consists of three states:A, B, and...Ch. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - What is the Alabama Paradox? Explain its meaning.Ch. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.CR - Prob. 1CRCh. 6.CR - Prob. 2CRCh. 6.CR - Prob. 3CRCh. 6.CR - Prob. 4CRCh. 6.CR - Prob. 5CRCh. 6.CR - Prob. 6CRCh. 6.CR - Prob. 7CRCh. 6.CR - Prob. 8CRCh. 6.CR - Prob. 9CRCh. 6.CR - Prob. 10CRCh. 6.CR - Prob. 11CRCh. 6.CR - Prob. 12CRCh. 6.CR - Prob. 13CRCh. 6.CR - Prob. 14CRCh. 6.CR - Prob. 15CRCh. 6.CR - Prob. 16CRCh. 6.CR - Prob. 17CRCh. 6.CR - A small country consists of three states: A, B,...Ch. 6.CR - Prob. 19CRCh. 6.CR - Prob. 20CRCh. 6.CR - Prob. 21CRCh. 6.CR - Prob. 22CRCh. 6.CR - Prob. 23CRCh. 6.CR - Prob. 24CRCh. 6.CR - Prob. 25CRCh. 6.CR - Prob. 26CRCh. 6.CR - Prob. 27CRCh. 6.CR - Prob. 28CRCh. 6.CR - What is the New States Paradox? Explain its...Ch. 6.CR - Prob. 30CRCh. 6.CR - Prob. 31CRCh. 6.CR - Prob. 32CRCh. 6.CR - Prob. 33CRCh. 6.CR - Prob. 34CRCh. 6.CR - What method of appointment for the House of...
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- 1. World's Richest. Each year, Forbes magazine publishes a list of the world's richest people. In 2009, the six richest people, their citizenship, and their wealth (to the nearest billion dollars) Name Citizenship Wealth ($ billion) Willlam Gate (G) Warren Buffett (B) Carlos Slim Helu (H) Lawrence Ellison (E) Karl Albrecht (A) United States 40 United States 38 Мexico 35 United States 23 Sweden 22 Ingvar Kamprad (K) Germany 22 Calculate the mean wealth, µ, of the six people. а. b. For samples of size 2, construct a table and calculate the means for samples of size 2. С. For a random sample of size 2, what is the chance that the sample mean will equal the population mean? d. For a random sample of size 2, determine the probability that the mean wealth of the two people obtained will be within 2 (i.e., $2 billion) of the population mean. Interpret your result in terms of percentages.arrow_forwardAnswer b. Use the Jefferson method pls.arrow_forwardThe Republic of Tropicana is a small country consisting of five states (A, B, C, D, and E). The total population of Tropicana is 27.4 million. According to the Tropicana constitution, the seats in parliament (i.e. the legislature) are apportioned to the states according to their population. The table below shows each state's standard quota A B C D E Standard Quota 41.2 31.9 24.8 22.6 16.5 (a) Find the number of seats in the Tropicana Legislature: Answer (b) Find the standard divisor: Answer (c) Find the population of each state and fill in the table below. (Hint: Write the equation for the standard divisor. Can you use it to find populations?) A B C D E Population Answer Answer Answer Answer Answer (d) Find the apportionment under Adam's method of the republic of Tropicana parliament (i.e. legislature). (Hint: Look for suitable divisors in the interval 205,000 to 206,000.) A gets Answer seats, B…arrow_forward
- Suppose that a small country consists of four states: A (population 3,251,000), B (population 2,541,000), C (population 990,000), and D (population 1,718,000). Suppose that there are M= 170 seats in the legislature, to be apportioned among the four states based on their respective populations. Find the apportionment of each state under Jefferson's method. (Hint: Look for suitable divisors in the interval 49,250 to 49,600.) Complete the table of each state's apportionment below. State A D Total Apportionment 170 Enter your answer in each of the answer boxes. MacBook Air ニ F6 トII F8 4 F10 4) FII トト esc * @ #3 2$ % & 7 8 9 %3D 2 3 4 Q W E R T Y U A S K ck エarrow_forward12. Four academic areas at a college have 500 students and want to form a 25-member committee apportioned according to the number of students in each area. Complete the chart to find Hamilton's apportionment. Academic Education Business Music Psychology Area # of Students 165 139 67 129 Result of Division 8.25 6.95 3.35 6.45 Std Quota 8. Hamiltonarrow_forwardplease help me fast....arrow_forward
- Following is a contingency table for U.S. surgeons, cross classified by specialty and base of practice. a) Fill in the missing values from the table. Office Hospital Other Total General Surgery 24,128 12,225 1,658 38,011 Obstetrics/Gynecology 6,734 1,140 32,024 Orthopedics 13,364 4,248 414 Ophthalmology 12,328 2,694 518 15,540 Total 73,970 25,901 3,730 103,601 b) How many surgeons are office based? answer: c) How many surgeons are ophthalmologists? answer: d) How many surgeons are office-based ophthalmologists? answer: e) How many surgeons are either office-based or ophthalmologists? answer: f) How many general surgeons are hospital based? answer: g) How many hospital-based surgeons are OB/GYNs? answer: h) How many surgeons are not hospital-based? answer:arrow_forwardPlease construct a contingency table for the population aged 25 and over. The table should define following conditions:1. Sex of participant (Male or Female)2. Completed a Bachelor's degree or more in terms of educational attainment (i.e. this includes the following columns: Bachelor's Degree, Master's Degree, Professional Degree, and Doctoral Degree)arrow_forwardA small country consists of three states, whose populations are listed below.A: 6,000 B: 6,000 C: 2,000a. If the legislature has 10 seats, use Hamilton’s method to apportion the seats.b. If the legislature grows to 11 seats, use Hamilton’s method to apportion the seats.c. Which apportionment paradox does this illustrate?arrow_forward
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