The Heart of Mathematics: An Invitation to Effective Thinking
4th Edition
ISBN: 9781118156599
Author: Edward B. Burger, Michael Starbird
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9.2, Problem 29MS
Some taxing statistics (H). Politicians love to quote averages that support a desired goal. The table below sho how much taxpayers would save under certain legislation supported by the president in 2007. Calculate the mean savings for all taxpayers. Estimate what percentage of Americans would actually see their savings reduced by an amount at least equal to the mean.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
1 No.
2
3
4
Binomial Prob.
X
n
P
Answer
5
6 4
7
8
9
10
12345678
8
3
4
2
2552
10
0.7
0.233
0.3
0.132
7
0.6
0.290
20
0.02
0.053
150
1000
0.15
0.035
8
7
10
0.7
0.383
11
9
3
5
0.3
0.132
12
10
4
7
0.6
0.290
13
Poisson Probability
14
X
lambda
Answer
18 4
19
20
21
22
23 9
15
16
17 3
1234567829
3
2
0.180
2
1.5
0.251
12
10
0.095
5
3
0.101
7
4
0.060
3
2
0.180
2
1.5
0.251
24 10
12
10
0.095
step by step on Microssoft on how to put this in excel and the answers please
Find binomial probability if:
x = 8, n = 10, p = 0.7
x= 3, n=5, p = 0.3
x = 4, n=7, p = 0.6
Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems)
Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150)
Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7,…
Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems)
Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150)
Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7, TRUE)). The part in the princess will give you the probability of seven and less than seven. When you subtract it from 1, that will give you the probability of at least eight,…
Chapter 9 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
Ch. 9.1 - Embarrassing data. Suppose you asked 100 students...Ch. 9.1 - Hugging both parents (S). You ask 150 students to...Ch. 9.1 - Short test. To save time grading, a professor asks...Ch. 9.1 - Computer polls. Suppose dot-corn entrepreneurs...Ch. 9.1 - Voluntary grade inflation. The dean felt that a...Ch. 9.1 - Pornography (ExH). Suppose you asked 100 students...Ch. 9.1 - Cartoons. Suppose 380 students out of 1000 still...Ch. 9.1 - Bias beef (H). Suppose you have an assignment to...Ch. 9.1 - Drug data (ExH). You ask 250 students to answer...Ch. 9.1 - Kissing. You ask 180 students to answer the...
Ch. 9.1 - Cheating (S). Suppose 60 students out of 200...Ch. 9.1 - Dental hygiene. Suppose you want to know how often...Ch. 9.1 - More homework. In a recent survey of random...Ch. 9.1 - PBS. In the old days, the Nielsen ratings of...Ch. 9.1 - 9:00 AM versus 9:00 PM (H). You take a survey of...Ch. 9.1 - Internet askew. Find ads or articles on the Web...Ch. 9.1 - Sleazy survey (H). The mayor of a city seeks to...Ch. 9.1 - Bread winners? You want to know in what percentage...Ch. 9.1 - Beemer babies (H). You want to estimate what...Ch. 9.1 - Coffee, tea, or milk? Youre considering whether to...Ch. 9.1 - The dog pound. Otis the puppy grew approximately...Ch. 9.1 - Hows that again? An ambitious politician in your...Ch. 9.1 - Smells like team spirit. A losing basketball team...Ch. 9.1 - Stack me timbers. Every October, students from the...Ch. 9.1 - Risky business (H). In a psychology class, the...Ch. 9.1 - Risky II. The psychology instructor from the...Ch. 9.2 - Internet costs. Make a histogram of the data on...Ch. 9.2 - Internet costs—summaries (S). Find the mean and...Ch. 9.2 - Internet costs-more summaries. Compute the...Ch. 9.2 - How variable. Remember that the standard deviation...Ch. 9.2 - Pie or no pie. Below are two graphical...Ch. 9.2 - Stats on steroids. Harry Bonds and Mark McGwire...Ch. 9.2 - Whos the best—short summary. For the home-run...Ch. 9.2 - Will tomorrow be different? At the beginning of...Ch. 9.2 - How different are they? (S) The following...Ch. 9.2 - Whats normal? The histograms of three data sets...Ch. 9.2 - Check the bounce (ExH). Until 1992, members of...Ch. 9.2 - College data. Using the student survey data given...Ch. 9.2 - News data. Find some data in a recent newspaper or...Ch. 9.2 - Which half? Half of the people in the United...Ch. 9.2 - Grades. A student received the following quiz...Ch. 9.2 - Raising scores (ExH). A student received the...Ch. 9.2 - Mean and median (S). Give an example of a data set...Ch. 9.2 - Median and mean. Give an example of a data set...Ch. 9.2 - Some taxing statistics (H). Politicians love to...Ch. 9.2 - Whoops. Find an example in a recent newspaper or...Ch. 9.2 - Further whoops (H). A survey of 100 recent college...Ch. 9.2 - Is this normal? Suppose the data in the previous...Ch. 9.2 - Average the grades. In a math class of 23 men and...Ch. 9.2 - Taxes(ExH). Find an effective graphical...Ch. 9.2 - Kids in the hall. You have three cousins with mean...Ch. 9.2 - Testing the data. A math instructor reports the...Ch. 9.2 - One mean mean. Suppose an instructor reports exam...Ch. 9.2 - Home sweet home. For a political science project,...Ch. 9.2 - No back up (H). You have 120 pieces of data. They...Ch. 9.3 - I.D. please. Identify the Distributions below as...Ch. 9.3 - Deviating from the norm (H). The following three...Ch. 9.3 - Match quest. The following three data sets are...Ch. 9.3 - Doubt the dice. You have four different dice and...Ch. 9.3 - More matching. A class was quizzed on two...Ch. 9.3 - Gas guzzling. In the One-Die Random Gas Station...Ch. 9.3 - Dr Die. Suppose you doctor a standard six-sided...Ch. 9.3 - Dr. Mean (S). What is the mean roll you would...Ch. 9.3 - A podiatrist in the making. Suppose you ask the...Ch. 9.3 - Beanie babies (S). All freshmen entering...Ch. 9.3 - Retiring standards (ExH). A classmate describes a...Ch. 9.3 - Unseasonable weather. The average high temperature...Ch. 9.3 - Are you normal? Which of the following data sets...Ch. 9.3 - Warming Up? (H) Suppose we measure the temperature...Ch. 9.3 - Possibly uniform. Which of the following data sets...Ch. 9.3 - Under the normally spreading chestnut tree. A...Ch. 9.3 - Abnormal. Give two example of data sets from your...Ch. 9.3 - Heavry petting. You adopt a kitten from the animal...Ch. 9.3 - Less than normal. Here are some distributions that...Ch. 9.3 - Gas guzzling (ExH). Consider the Two-Dice Random...Ch. 9.3 - The 68-95-99.7rule. Referring back to a discussion...Ch. 9.3 - Heads up. The marching band is getting new...Ch. 9.3 - Knees up. Building on the previous Mindscape,...Ch. 9.3 - Mother Brown (H). The most popular pizza place...Ch. 9.3 - Scoring some Zs. Refer to the formula for the...Ch. 9.3 - 2Catchin some Zs. You happen to know the z-score...Ch. 9.4 - Sophomore survey. You want to survey all students...Ch. 9.4 - IntenaI confidence. Which of the following best...Ch. 9.4 - Voting bodies. Calculate the percentage of the...Ch. 9.4 - Play the percentages. If n=100, what is the value...Ch. 9.4 - Play the percentages backwards (S). If 1n=0.05...Ch. 9.4 - Election up for grabs. In the upcoming election...Ch. 9.4 - U.S. samples (S). Suppose you can be quite...Ch. 9.4 - Bigger confidence? Suppose a pollster reports that...Ch. 9.4 - Overlapping confidence. Suppose two surveys are...Ch. 9.4 - Does size matter? (ExH) You want to gather data...Ch. 9.4 - More voting bodies (H). You want to gather data...Ch. 9.4 - National poll. Suppose you do polling in each of...Ch. 9.4 - Dizzy Lincoln. The text describes a penny-spinning...Ch. 9.4 - Hire a consultant. A consulting firm analyzed...Ch. 9.4 - House of cards. Your friend hands you a deck of 52...Ch. 9.4 - A fish story (ExH). You are a biologist sampling...Ch. 9.4 - Political gamble. The mayor of a small city has...Ch. 9.4 - The power of placebo. A study of pain relief...Ch. 9.4 - Marge Innoverra. You test 100 light bulbs randomly...Ch. 9.4 - How many math students does it take …(S). How...Ch. 9.4 - … to screw in a lightbulb? How many light bulbs...Ch. 9.4 - Snack sample (H). A survey asking students whether...Ch. 9.4 - Stop the study (ExH). A 2006 NIH study of...Ch. 9.4 - The sniff test. In 2004 the British Medical...Ch. 9.4 - Roving report. In 2006 there was a scandal...Ch. 9.4 - Polling roundup (H). A polling organization wants...Ch. 9.4 - Rodent roundup. Your psychology class is planning...Ch. 9.4 - Even more confident. Mindscape 27 gives a more...Ch. 9.4 - ESP. Your psychology class does some experiments...Ch. 9.4 - Trying trials. Your roommate is supervising an...Ch. 9.5 - Mendels snapdragons. Another of Mendels...Ch. 9.5 - Telephone/soda twins. Suppose your school has 1000...Ch. 9.5 - Correlation comparison. Below are three...Ch. 9.5 - Percent practice. Convert the fractions below to...Ch. 9.5 - Family dinner. Recent studies have reported on the...Ch. 9.5 - More Mendel (S). Given Mendels snapdragon...Ch. 9.5 - Oedipus red. Given Mendels work described in...Ch. 9.5 - Oedipus white. Given Mende1 work described in...Ch. 9.5 - Prob. 9MSCh. 9.5 - Astrology. An experiment is done to test the value...Ch. 9.5 - Stressful diet. One hundred young women were given...Ch. 9.5 - Abstinence evidence? President George W. Bush...Ch. 9.5 - Matching correlations. Below are some scatterplots...Ch. 9.5 - Fast data (H). If you plot the wining Olympic mens...Ch. 9.5 - College town. You go to school in a college town....Ch. 9.5 - Car count (S). You wonder how many cars there are...Ch. 9.5 - For Mindscapes 19-22, say whether or not each is...Ch. 9.5 - For Mindscapes 19-22, say whether or not each is...Ch. 9.5 - For Mindscapes 19-22, say whether or not each is...Ch. 9.5 - For Mindscapes 19-22, say whether or not each is...Ch. 9.5 - Mendel genealogy (H). We return once again to...Ch. 9.5 - Martian genetics. A certain alien species has...Ch. 9.5 - More Martians. Given the scenario from the...Ch. 9.5 - Politics as usual. During the presidential...Ch. 9.5 - Going postal. Your company will sign a contract...Ch. 9.5 - Fast paradox (ExH). The correlation between year...Ch. 9.5 - Up and down. In the past year, the grade point...Ch. 9.5 - Modified Mendel. We again return to Mendel...Ch. 9.5 - Going extinct. A paleontologist has gathered data...Ch. 9.5 - Diners delight. There are five dining halls on...Ch. 9.5 - The candy man. Your math instructor brings a...Ch. 9.5 - The candy jars. Your math instructor brings two...Ch. 9.5 - Correlated chorus (H). The chorus has data on the...Ch. 9.5 - Correlated Britney. The Britney S. Fan Club has...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Find how many SDs above the mean price would be predicted to cost.
Intro Stats, Books a la Carte Edition (5th Edition)
Testing Claims About Proportions. In Exercises 7–22, test the given claim. Identify the null hypothesis, altern...
Elementary Statistics (13th Edition)
Assessment 1-1A In a big red box, there are 7 smaller blue boxes. In each of the blue boxes, there are 7 black ...
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
A point is chosen at random on a line segment of length L. Interpret this statement, and find the probability t...
A First Course in Probability (10th Edition)
Calculate the height of cylinder.
Pre-Algebra Student Edition
Length of a Guy Wire A communications tower is located at the top of a steep hill, as shown. The angle of incli...
Precalculus: Mathematics for Calculus (Standalone Book)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Find binomial probability if: x = 8, n = 10, p = 0.7 x= 3, n=5, p = 0.3 x = 4, n=7, p = 0.6 Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7, TRUE)). The part in the princess will give you the probability of seven and less than…arrow_forwardPam, Ron, and Sam are using the method of sealed bids to divide among themselves four items. Table on the next page shows the bids that each player makes for each item. Use this example to answer questions 19 to 23 Pam Ron Sam Bedroom Set $860 $550 $370 Dining Room Set $350 $420 $500 Television $230 $440 $340 Sofa set $480 $270 $230 What is the value of Sam’s fair share Group of answer choices None of these $360 $370 $500 $480arrow_forwardQ2. Write the following Mayan numeral (base 20) as a Hindu-Arabic numeral (base 10). Show your work. b) : || || ·| 0 ⠀ || | || ||arrow_forward
- Q12. Using the prime factorization tree, simplify the following square roots. Show your work. √2646 a) √300 b) √4050 - √1800arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). What is an example of fair division of the cake S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
- Q9. Complete the multiplication table below, then use it to perform divisions given below. Show your work. ☑ 0 1 2 3 0 0 0 0 1 0 1 3 2 0 2 4 11 13 3 0 3 14 4 0 13 3 a) ) 224 five five b) 23 five ) 4234 fivearrow_forwardFaye cuts the sandwich in two fair shares to her. What is the first half s1arrow_forwardQ7. Using the numeral symbols given in Question 4, calculate the following addition and subtraction. Show your work. a) cce+yгг b) Γ Γ Θ Δ - Θ Δ Υ Υarrow_forward
- For the system consisting of the lines: and 71 = (-8,5,6) + t(4, −5,3) 72 = (0, −24,9) + u(−1, 6, −3) a) State whether the two lines are parallel or not and justify your answer. b) Find the point of intersection, if possible, and classify the system based on the number of points of intersection and how the lines are related. Show a complete solution process.arrow_forwardQ5. Add in the indicated base. Show your work. a) A7E4 sixteen+4825 sixteen b) 5442 seven + 5340 sevenarrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to maryarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License