Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
9th Edition
ISBN: 9780136208754
Author: Tannenbaum, Peter
Publisher: PEARSON
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Textbook Question
Chapter 14, Problem 65E
Read the examples of informal surveys given in Exercise 64. Give three new examples of your own. Make them as different as possible from the ones given in Exercise 64 [changing coffee to soup in (ii) is not a new example].
Informal surveys. In everyday life we are constantly involved in activities that can be described as informal surveys, often without even realizing it. Here are some examples.
i. Al gets up in the morning and wants to know what kind of day it is going to be, so he peeks out the window. He doesn't see any dark clouds, so he figures it's not going to rain.
ii. Betty takes a sip from a cup of coffee and burns her lips. She concludes that the coffee is too hot and decides to add a tad of cold water to it.
iii. Carla got her first Math 101 exam back with a C grade on it. The students sitting on each side of her also received C grades. She concludes that the entire Math 101 class received a C on the first exam.
For each of the preceding examples,
a. describe the population.
b. discuss whether the sample is random or not.
c. discuss the validity of the conclusions drawn. (There is no right or wrong answer to this question, but you should be able to make a reasonable case for your position.)
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1.
2.
Show that the following are not logically equivalent by finding a counterexample:
(p^q) →r and
(db) V (d←d)
Show that the following is not a contradiction by finding a counterexample:
(pV-q) AqA (pv¬q Vr)
3.
Here is a purported proof that (pq) ^ (q → p) = F:
(db) v (bd) = (db) v (bd)
=(qVp) A (g→p)
= (¬¬q V ¬p) ^ (q→ p)
(db) V (db) =
=¬(a→p)^(a→p)
= (gp) ^¬(a → p)
=F
(a) Show that (pq) ^ (q→p) and F are not logically equivalent by finding a counterex-
ample.
(b) Identify the error(s) in this proof and justify why they are errors. Justify the other steps
with their corresponding laws of propositional logic.
Question 2: When John started his first job, his first end-of-year salary was $82,500. In the following years, he received salary raises as shown in the following table.
Fill the Table: Fill the following table showing his end-of-year salary for each year. I have already provided the end-of-year salaries for the first three years. Calculate the end-of-year salaries for the remaining years using Excel. (If you Excel answer for the top 3 cells is not the same as the one in the following table, your formula / approach is incorrect) (2 points)
Geometric Mean of Salary Raises: Calculate the geometric mean of the salary raises using the percentage figures provided in the second column named “% Raise”. (The geometric mean for this calculation should be nearly identical to the arithmetic mean. If your answer deviates significantly from the mean, it's likely incorrect. 2 points)
Hint for the first part of question 2: To assist you with filling out the table in the first part of the question,…
Chapter 14 Solutions
Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
Ch. 14 - As part of a sixth-grade class project the teacher...Ch. 14 - As part of a sixth-grade class project the teacher...Ch. 14 - Madison County has a population of 34,522 people....Ch. 14 - Madison County has a population of 34,522 people....Ch. 14 - A big concert was held at the Bowl. Men and women...Ch. 14 - A large jar contains an unknown number of red...Ch. 14 - You want to estimate how many fish there are in a...Ch. 14 - To estimate the population in a rookery, 4965 fur...Ch. 14 - To count whale populations, the capture is done by...Ch. 14 - The critically endangered Mauis dolphin is...
Ch. 14 - Exercises 11 and 12 refer to Chapmans correction....Ch. 14 - Exercises 11 and 12 refer to Chapmans correction....Ch. 14 - Starting in 2004, a study to determine the number...Ch. 14 - Exercises 25 through 28 refer to the following...Ch. 14 - Name the sampling method that best describes each...Ch. 14 - An audit is performed on last years 15, 000...Ch. 14 - Exercise17 through 20 refer to the following...Ch. 14 - Exercise17 through 20 refer to the following...Ch. 14 - Exercise17 through 20 refer to the following...Ch. 14 - Exercise17 through 20 refer to the following...Ch. 14 - Prob. 21ECh. 14 - Prob. 22ECh. 14 - Prob. 23ECh. 14 - Prob. 24ECh. 14 - Exercises 25 through 28 refer to the following...Ch. 14 - Exercises 25 through 28 refer to the following...Ch. 14 - Exercises 25 through 28 refer to the following...Ch. 14 - Exercises 29 and 30 refer to the following story:...Ch. 14 - Exercises 29 and 30 refer to the following story:...Ch. 14 - Prob. 31ECh. 14 - Prob. 32ECh. 14 - Exercises 33 through 36 refer to the following...Ch. 14 - Exercises 33 through 36 refer to the following...Ch. 14 - Exercises 33 through 36 refer to the following...Ch. 14 - Exercises 33 through 36 refer to the following...Ch. 14 - Exercises 37 through 40 refer to a clinical study...Ch. 14 - Exercises 37 through 40 refer to a clinical study...Ch. 14 - Exercises 37 through 40 refer to a clinical study...Ch. 14 - Prob. 40ECh. 14 - Prob. 41ECh. 14 - Exercises 41 through 44 refer to a clinical trial...Ch. 14 - Prob. 43ECh. 14 - Exercises 41 through 44 refer to a clinical trial...Ch. 14 - Prob. 45ECh. 14 - Prob. 46ECh. 14 - Exercises 45 through 48 refer to a study on the...Ch. 14 - Prob. 48ECh. 14 - Exercises 49 through 52 refer to a landmark study...Ch. 14 - Prob. 50ECh. 14 - Exercises 49 through 52 refer to a landmark study...Ch. 14 - Prob. 52ECh. 14 - Exercises 53 through 56 refer to a study conducted...Ch. 14 - Prob. 54ECh. 14 - Exercises53_ through 56_ refer to a study...Ch. 14 - Exercises53 through 56 refer to a study conducted...Ch. 14 - Prob. 57ECh. 14 - Prob. 58ECh. 14 - Exercises 57 through 60 refer to the following...Ch. 14 - Prob. 60ECh. 14 - Prob. 61ECh. 14 - Prob. 62ECh. 14 - Prob. 63ECh. 14 - Prob. 64ECh. 14 - Read the examples of informal surveys given in...Ch. 14 - Leading-question bias. The way the questions in...Ch. 14 - Prob. 67ECh. 14 - Prob. 68ECh. 14 - Prob. 69ECh. 14 - Prob. 70ECh. 14 - Prob. 71ECh. 14 - Prob. 72ECh. 14 - One of the problems with the capture-recapture...Ch. 14 - Darrochs method. is a method for estimating the...
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