Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Textbook Question
Chapter 4.5, Problem 30E
In exercises 29-32, you are planning a survey for which the findings are to have the specified level of confidence. How large should your sample be so that the margin of error is at most the specified amount?
96% level of confidence
a. margin of error
b. margin of error
c. margin of error
d. Comparing your answers to part (a)-(c), what conclusion can be made regarding the margin of error and the
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5. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.AE.003.
y
y= ex²
0
Video Example
x
EXAMPLE 3
(a) Use the Midpoint Rule with n = 10 to approximate the integral
कर
L'ex²
dx.
(b) Give an upper bound for the error involved in this approximation.
SOLUTION
8+2
1
L'ex² d
(a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.)
dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)]
0.1 [0.0025 +0.0225
+
+ e0.0625 + 0.1225
e0.3025 + e0.4225
+ e0.2025
+
+ e0.5625 €0.7225 +0.9025]
The figure illustrates this approximation.
(b) Since f(x) = ex², we have f'(x)
=
0 ≤ f'(x) =
< 6e.
ASK YOUR TEACHER
and f'(x) =
Also, since 0 ≤ x ≤ 1 we have x² ≤
and so
Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final
answer to five decimal places.)
6e(1)3
e
24(
=
≈
1. Consider the following preference ballots:
Number of voters
Rankings 6 5 4 2
1st choice A DCB
DC
2nd choice B B D
3rd choice DCBD
4th choice CA
AAA
For each of the four voting systems we have studied, determine who would win the election
in each case. (Remember: For plurality with runoff, all but the top two vote-getters are
simultaneously eliminated at the end of round 1.)
Practice
k Help
ises
A
96
Anewer The probability that you get a sum of at least 10 is
Determine the number of ways that the specified event can occur when
two number cubes are rolled.
1. Getting a sum of 9 or 10
3. Getting a sum less than 5
2. Getting a sum of 6 or 7
4. Getting a sum that is odd
Tell whether you would use the addition principle or the multiplication
principle to determine the total number of possible outcomes for the
situation described.
5. Rolling three number cubes
6. Getting a sum of 10 or 12 after rolling three number cubes
A set of playing cards contains four groups of cards designated by color
(black, red, yellow, and green) with cards numbered from 1 to 14 in each
group. Determine the number of ways that the specified event can occur
when a card is drawn from the set.
7. Drawing a 13 or 14
9. Drawing a number less than 4
8. Drawing a yellow or green card
10. Drawing a black, red, or green car
The spinner is divided into equal parts.
Find the specified…
Chapter 4 Solutions
Mathematics: A Practical Odyssey
Ch. 4.1 - To study the library habits of students at a local...Ch. 4.1 - To study the eating habits of students at a local...Ch. 4.1 - To study the composition of families in Manistee,...Ch. 4.1 - To study the spending habits of shoppers in...Ch. 4.1 - The speeds, in miles per hour, of forty randomly...Ch. 4.1 - The weight, in pounds, of thirty-five packages of...Ch. 4.1 - To examine the effects of a new registration...Ch. 4.1 - The frequency distribution shown in Figure 4.21...Ch. 4.1 - The frequency distribution shown in Figure 4.22...Ch. 4.1 - To study the output of a machine that fills boxes...
Ch. 4.1 - The ages of the nearly 4 million women who gave...Ch. 4.1 - The age composition of the population of the...Ch. 4.1 - Using the data in Figure 4.26, replace the...Ch. 4.1 - Using the data in Figure 4.26, replace the...Ch. 4.1 - The frequency distribution shown in Figure 4.27...Ch. 4.1 - The frequency distribution shown in Figure 4.28...Ch. 4.1 - Figure 4.29 lists the top five reasons given by...Ch. 4.1 - Figure 4.30 lists the worlds top six countries as...Ch. 4.1 - Figure 4.31 lists the race of new AIDS cases in...Ch. 4.1 - Figure 4.32 lists the types of accidental deaths...Ch. 4.1 - Figure 4.33 lists some common specialities of...Ch. 4.1 - Figure 4.34 lists the major metropolitan areas on...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Prob. 28ECh. 4.1 - Use a graphing calculator or Excel on the...Ch. 4.1 - Prob. 30ECh. 4.2 - Exercises 1-4, find mean, median, and mode of the...Ch. 4.2 - In Exercises 1-4, find mean, median, and mode of...Ch. 4.2 - Exercises 1-4, find mean, median, and mode of the...Ch. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Find the mean, median, and mode of each set of...Ch. 4.2 - Find the mean, median, and mode of each set of...Ch. 4.2 - Prob. 8ECh. 4.2 - Kaitlin Mowry is a member of local 4-H club and...Ch. 4.2 - Prob. 10ECh. 4.2 - Jerry Rice holds the all-time record in...Ch. 4.2 - Wayne Gretzky, known as The Great One, holds the...Ch. 4.2 - Relief pitcher Mariano Rivera New York Yankees...Ch. 4.2 - Michael Jordan has been recognized as an...Ch. 4.2 - The frequency distribution in Figure 4.61 lists...Ch. 4.2 - Todd booth, an avid jogger, kept detailed records...Ch. 4.2 - To study the output of a machine that fills boxes...Ch. 4.2 - To study the efficiency of its new price-scanning...Ch. 4.2 - Katrina must take five exams in a math class. If...Ch. 4.2 - Eugene must take four exams in a geography class....Ch. 4.2 - The mean salary of twelve men is 58,000, and the...Ch. 4.2 - The mean salary of twelve men is 52,000, and the...Ch. 4.2 - Maria drove from Chicago, Illinois, to Milwaukee,...Ch. 4.2 - Sully drove from Atlanta, Georgia, to Birmingham,...Ch. 4.2 - The mean age of a class of twenty-five students is...Ch. 4.2 - The mean age of a class of fifteen students is...Ch. 4.2 - The mean salary of eight employees is 40.000, and...Ch. 4.2 - The mean salary of ten employees is 32,000, and...Ch. 4.2 - The number of civilians holding government jobs in...Ch. 4.2 - The ages of the nearly 4 million women who gave...Ch. 4.2 - The age composition of the population of the...Ch. 4.2 - In Exercises 32 and 33. use the age composition of...Ch. 4.2 - In Exercises 32 and 33. use the age composition of...Ch. 4.2 - Prob. 34ECh. 4.2 - Suppose the mean of Group I is A and the mean of...Ch. 4.2 - Prob. 36ECh. 4.3 - Perform each task, given the following sample...Ch. 4.3 - Perform each task, given the following sample...Ch. 4.3 - Perform each task, given the following sample...Ch. 4.3 - Find the mean and standard deviation of each set...Ch. 4.3 - Find the mean and standard deviation of each set...Ch. 4.3 - Find the mean and standard deviation of each set...Ch. 4.3 - 7.Joey and Dee Dee bowled five games at the Rock n...Ch. 4.3 - Paki surveyed the price of unleaded gasoline...Ch. 4.3 - Kaitlin Mowry is a member of the local 4H club and...Ch. 4.3 - Before Lance Armstrong admitted doping and was...Ch. 4.3 - 11.Relief pitcher Mariano RiveraNew York Yankees...Ch. 4.3 - Micheal Jordan has been recognized as an...Ch. 4.3 - The Truly Amazing Dudes are a group of comic...Ch. 4.3 - The weights in Pounds of the ten Truly Amazing...Ch. 4.3 - The normal monthly rainfall in Seattle,...Ch. 4.3 - The normal monthly rainfall in Phoenix, Arizona,...Ch. 4.3 - The frequency distribution in Figure 4.87 lists...Ch. 4.3 - Prob. 18ECh. 4.3 - To study the output of a machine that fills boxes...Ch. 4.3 - To study the efficiency of its new price-scanning...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - The ages of all employees at a specific state...Ch. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Do Double Stuff Oreos really contain twice as much...Ch. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.4 - The weight in ounces of several bags of corn chips...Ch. 4.4 - 451 435 482 449 454 451 479 448 432 423 461 475...Ch. 4.4 - The time in minutes spent waiting in line for...Ch. 4.4 - A die was rolled several times, and the results...Ch. 4.4 - What percent of the standard normal z-...Ch. 4.4 - What percent of the standard normal z-...Ch. 4.4 - What percent of the standard normal z-...Ch. 4.4 - What percent of the standard normal z-...Ch. 4.4 - A population is normally distributed with mean...Ch. 4.4 - A population is normally distributed with mean...Ch. 4.4 - Find the following probabilities. a. p(0<z<1.62)...Ch. 4.4 - Find the following probabilities. a. p(0<z<1.42)...Ch. 4.4 - Find c such that each of the following is true. a....Ch. 4.4 - Find c such that each of the following is true. a....Ch. 4.4 - A population X is normally distributed with mean...Ch. 4.4 - A population X is normally distributed with mean...Ch. 4.4 - A population is normally distributed with mean...Ch. 4.4 - A population is normally distributed with mean...Ch. 4.4 - The mean weight of a box of cereal filled by a...Ch. 4.4 - The amount of time required to assemble a...Ch. 4.4 - The time it takes an acrylic paint to dry is...Ch. 4.4 - The shrinkage in length of a certain brand of blue...Ch. 4.4 - The mean volume of a carton of milk filled by a...Ch. 4.4 - The amount of time between taking a pain reliever...Ch. 4.4 - The results of a statewide exam for assessing the...Ch. 4.4 - Professor Harde assumes that exam scores are...Ch. 4.4 - The time it takes an employee to package the...Ch. 4.4 - The time it takes an employee to package the...Ch. 4.4 - What are the characteristics of a normal...Ch. 4.4 - Are all distributions of data normal distributed?...Ch. 4.4 - Why is total area under a bell curve equal to 1?.Ch. 4.4 - Why are there no negative z-numbers in the body...Ch. 4.4 - When converting an x-number to a z-number, what...Ch. 4.4 - Is it logical to assume that the heights of all...Ch. 4.4 - Is it reasonable to assume that the ages of all...Ch. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.5 - In exercises 1-4, use the body table in Appendix F...Ch. 4.5 - In exercises 1-4, use the body table in Appendix F...Ch. 4.5 - In exercises 1-4, use the body table in Appendix F...Ch. 4.5 - In exercises 1-4, use the body table in Appendix F...Ch. 4.5 - Find the z-number associated with a 92 level of...Ch. 4.5 - Find the z-number associated with a 97 level of...Ch. 4.5 - Find the z-number associated with a 75 level of...Ch. 4.5 - Find the z-number associated with a 85 level of...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 9-22, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 9-22, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - A survey asked, Can you imagine a situation in...Ch. 4.5 - A survey asked, Do you think that homeless people...Ch. 4.5 - A sample consisting of 430 men and 765 women was...Ch. 4.5 - A sample consisting of 942 men and 503 women was...Ch. 4.5 - A poll pertaining to environmental concerns had...Ch. 4.5 - A poll pertaining to educational goals had the...Ch. 4.5 - A recent poll pertaining to educational reforms...Ch. 4.5 - A recent poll pertaining to educational reforms...Ch. 4.5 - In exercises 29-32, you are planning a survey for...Ch. 4.5 - In exercises 29-32, you are planning a survey for...Ch. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.6 - A set of n=6 ordered pairs has the following sums:...Ch. 4.6 - A set of n=8 ordered pairs has the following sums:...Ch. 4.6 - A set of n=5 ordered pairs has the following sums:...Ch. 4.6 - Given the ordered pairs (4,40), (6,37), (8,34) and...Ch. 4.6 - Given the ordered pairs (5,5), (7,10), (8,11),...Ch. 4.6 - 6.Given the ordered pairs (5,20), (6,15), (10,14),...Ch. 4.6 - Given the ordered pairs (2,6), (3,12), (6,15),...Ch. 4.6 - 8.The unemployment rate and the amount of...Ch. 4.6 - 9.The average hourly earnings and the average...Ch. 4.6 - Prob. 10ECh. 4.6 - The amounts of rice and tobacco grown in the...Ch. 4.6 - The median home price and average mortgage rate in...Ch. 4.6 - Prob. 13ECh. 4.6 - Prob. 14ECh. 4.6 - Prob. 15ECh. 4.6 - Prob. 16ECh. 4.6 - Prob. 17ECh. 4.6 - Throughout the twentieth century, the record time...Ch. 4.6 - 19.Heart disease is a much less problem in France...Ch. 4.CR - Find a the mean, b the median, c the mode, and d...Ch. 4.CR - To study the compositions of the families in...Ch. 4.CR - Prob. 3CRCh. 4.CR - Prob. 4CRCh. 4.CR - Prob. 5CRCh. 4.CR - The mean salary of twelve men is $37000 and the...Ch. 4.CR - Prob. 7CRCh. 4.CR - Prob. 8CRCh. 4.CR - Prob. 9CRCh. 4.CR - Classify the following types of data as discrete,...Ch. 4.CR - Prob. 11CRCh. 4.CR - Prob. 12CRCh. 4.CR - Prob. 13CRCh. 4.CR - All incoming freshmen at a major university are...Ch. 4.CR - Prob. 15CRCh. 4.CR - Prob. 16CRCh. 4.CR - Prob. 17CRCh. 4.CR - Prob. 18CRCh. 4.CR - Prob. 19CRCh. 4.CR - Prob. 20CRCh. 4.CR - Prob. 21CRCh. 4.CR - Prob. 22CRCh. 4.CR - Prob. 23CRCh. 4.CR - Prob. 24CRCh. 4.CR - Prob. 25CRCh. 4.CR - Prob. 26CRCh. 4.CR - Prob. 27CRCh. 4.CR - Prob. 28CRCh. 4.CR - Answer the following questions using complete...
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