Survey of Mathematics with Applications, A, a la Carte edition plus NEW MyLab Math with Pearson eText (10th Edition)
10th Edition
ISBN: 9780134112237
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Chapter 14.3, Problem 49E
To determine
The number of crimes committed in each precinct by using various methods are Hamilton`s method, Jefferson’s method, Webster`s method, and Adams` method where all lead to the same apportionment of the 210 new officers.
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 14 Solutions
Survey of Mathematics with Applications, A, a la Carte edition plus NEW MyLab Math with Pearson eText (10th Edition)
Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5ECh. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E
Ch. 14.1 - Preference Table for Potato Chips Nine voters are...Ch. 14.1 - Prob. 12ECh. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Prob. 14ECh. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Logo choice in Exercises 1318, employees of...Ch. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - NFL Expansion In Exercises 2326, the National...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Board of Trustees Election. In Excercises 27-31,...Ch. 14.1 - Prob. 31ECh. 14.1 - Post Office Sites In Exercises 32-36, the 11...Ch. 14.1 - Post Office Sites In Exercises 32-36, the 11...Ch. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Choosing a Contractor The board of directors of...Ch. 14.1 - Prob. 38ECh. 14.1 - Flowers in a Garden The flowers in a garden at a...Ch. 14.1 - Choosing a Computer The Wizards Computer Club is...Ch. 14.1 - Prob. 41ECh. 14.1 - Describe one way other than flipping a coin to...Ch. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - Prob. 48ECh. 14.1 - Constuct a preference table showing 12 votes for 3...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - In Exercises 1 8, fill in the blank with an...Ch. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Annual Meeting Members of the board of directors...Ch. 14.2 - Prob. 10ECh. 14.2 - Restructuring a Company The board of directors at...Ch. 14.2 - Party Theme The children in Ms Cohns seventh-grade...Ch. 14.2 - Residence Hall Improvements The administration at...Ch. 14.2 - Prob. 14ECh. 14.2 - Preference for Grape Jelly Twenty-one people are...Ch. 14.2 - A Taste Test Twenty-five people are surveyed in...Ch. 14.2 - Plurality: Irrelevant Alternatives Criterion...Ch. 14.2 - Prob. 18ECh. 14.2 - Borda Count: Irrelevant Alternatives Criterion...Ch. 14.2 - Borda Count: Irrelevant Alternatives Criterion...Ch. 14.2 - Plurality with Elimination Monotonicity Criterion...Ch. 14.2 - Plurality with Elimination: Monotonicity Criterion...Ch. 14.2 - Pair Comparision Method: Monotonicity Criterion...Ch. 14.2 - Prob. 24ECh. 14.2 - Pairwise Comparison: Irrelevant Alternatives...Ch. 14.2 - Prob. 26ECh. 14.2 - Borda Count:Majority Criterion Suppose that the...Ch. 14.2 - Borda Count: Majority Criterion Suppose that the...Ch. 14.2 - Spring Trip The History Club of St. Louis is...Ch. 14.2 - Prob. 30ECh. 14.2 - Selecting a Spokesperson The campbell Soup Comapny...Ch. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Construct a prefernce table with three candidates...Ch. 14.2 - Construct a preference table with three candidates...Ch. 14.2 - Construct a preference table with four candidates...Ch. 14.2 - Prob. 38ECh. 14.3 - The total population under consideration divided...Ch. 14.3 - When each group's population is divided by the...Ch. 14.3 - A standard quota rounded up to the nearest integer...Ch. 14.3 - A standard quota rounded down to the nearest...Ch. 14.3 - The rule stating that an apportionment should...Ch. 14.3 - Jefferson's method, Websters method, and Adams'...Ch. 14.3 - In Exercises 1-10, fill in the blank with an...Ch. 14.3 - a. The apportionment method that uses a modified...Ch. 14.3 - a. The apportionment method that uses a modified...Ch. 14.3 - Jeffersons method, Webster's method, and Adams'...Ch. 14.3 - In Exercises 11-49, when appropriate round quotas...Ch. 14.3 - Determine each state's apportionment using...Ch. 14.3 - a. Determine each states modified quota using the...Ch. 14.3 - Prob. 14ECh. 14.3 - Legislative Seats In Exercises 11-18, suppose that...Ch. 14.3 - Legislative Seats In Exercises 11-18, suppose that...Ch. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 20ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 22ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 24ECh. 14.3 - Hotel staff In Exercises 19-26, a large hotel...Ch. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Umbrellas In Exercises 27-30, Sandy Shores Resorts...Ch. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Computers In Exercise 31-34, a university is...Ch. 14.3 - Now Boats In Exercises 35-38, a boat manufacturer...Ch. 14.3 - Now Boats In Exercises 35-38, a boat manufacturer...Ch. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - New Buses In Exercises 39-42, the Transit...Ch. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Nursing Shifts In Exercises 43-46, a hospital has...Ch. 14.3 - Prob. 44ECh. 14.3 - Nursing Shifts In Exercises 43-46, a hospital has...Ch. 14.3 - Prob. 46ECh. 14.3 - The First Census In 1970, the first United States...Ch. 14.3 - Legislative Seats Suppose that a country with a...Ch. 14.3 - Prob. 49ECh. 14.4 - In Exercises 1- 6, fill in the blank with an...Ch. 14.4 - When the addition of a new group and additional...Ch. 14.4 - When an increase in the total number of items to...Ch. 14.4 - Hamiltons and Jeffersons apportionment methods,...Ch. 14.4 - Adams and Websters apportionment methods favor...Ch. 14.4 - The apportionment method that satisfies the quota...Ch. 14.4 - In Exercises 7-18, when appropriate, round quotas...Ch. 14.4 - Prob. 8ECh. 14.4 - Legislative Seats A country with three states has...Ch. 14.4 - Prob. 10ECh. 14.4 - Apportioning Promotions ATT has 25,000 employees...Ch. 14.4 - Apportioning Trucks Anabru Manufacturing has 100...Ch. 14.4 - College Internships A college with five divisions...Ch. 14.4 - Prob. 14ECh. 14.4 - Additional Employees Cynergy Telecommunications...Ch. 14.4 - Adding a Park The town of Manlius purchased 25 new...Ch. 14.4 - Adding a State A country with two states has 33...Ch. 14.4 - Adding a State A country with two states has 66...Ch. 14 - Electing the Club President The Sailing Club of...Ch. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - In Exercises 5-10, the members of the Student...Ch. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Sports Preferences In Exercises 11-16, the...Ch. 14 - Choosing a License Plate Style Park Forest...Ch. 14 - Accountants Convention The National Association of...Ch. 14 - Prob. 19RECh. 14 - Hiring a New Paralegal In Exercises 20 and 21, a...Ch. 14 - Prob. 21RECh. 14 - Plurality with Elimination Consider the following...Ch. 14 - A Taste Test In a taste test, 114 people are asked...Ch. 14 - Selecting a Band The Southwestern High School...Ch. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Violating the Irrelevant Alternatives Criterion...Ch. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - Prob. 41RECh. 14 - Prob. 42RECh. 14 - Prob. 1TCh. 14 - Prob. 2TCh. 14 - Prob. 3TCh. 14 - Prob. 4TCh. 14 - Prob. 5TCh. 14 - Prob. 6TCh. 14 - Prob. 7TCh. 14 - Prob. 8TCh. 14 - Prob. 9TCh. 14 - Prob. 10TCh. 14 - Prob. 11TCh. 14 - Prob. 12TCh. 14 - Prob. 13TCh. 14 - Prob. 14TCh. 14 - Prob. 15TCh. 14 - Prob. 16TCh. 14 - Prob. 17TCh. 14 - Prob. 18TCh. 14 - Prob. 19TCh. 14 - Suppose that a fourth state with the population...
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