
Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2.4, Problem 49PB
To determine
Identify the most plausible value for the standard deviation and explain the reason.
Explain what’s unrealistic about each of the other values.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Une Entreprise œuvrant dans le domaine du multividéo donne l'opportunité à ses
programmeurs-analystes d'évaluer la performance des cadres supérieurs.
Voici les résultats obtenues (sur une échelle de 10 à 50) où 50 représentent une
excellente performance. 10 programmeurs furent sélectionnés au hazard pour
évaluer deux cadres. Un rapport Excel est également fourni.
Programmeurs
Cadre A Cadre B
1
34
36
2
32
34
3
18
19
33
38
19
21
21
23
7
35
34
8
20
20
9
34
34
10
36
34
Test d'égalité des espérances: observations pairées
A television news channel samples 25 gas stations from its local area and uses the results to estimate the average gas price for the state. What’s wrong with its margin of error?
You’re fed up with keeping Fido locked inside, so you conduct a mail survey to find out people’s opinions on the new dog barking ordinance in a certain city. Of the 10,000 people who receive surveys, 1,000 respond, and only 80 are in favor of it. You calculate the margin of error to be 1.2 percent. Explain why this reported margin of error is misleading.
Chapter 2 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 2.1 - Categorical/quantitative difference a. Explain the...Ch. 2.1 - U.S. married-couple households According to a...Ch. 2.1 - Identify the variable type Identify each of the...Ch. 2.1 - Categorical or quantitative? Identify each of the...Ch. 2.1 - Discrete/continuous a. Explain the difference...Ch. 2.1 - Discrete or continuous? Identify each of the...Ch. 2.1 - Discrete or continuous 2 Repeat the previous...Ch. 2.1 - Prob. 8PBCh. 2.1 - Fatal Shark Attacks Few of the shark attacks...Ch. 2.2 - Generating Electricity In 2012 in the United...
Ch. 2.2 - What do alligators eat? The bar chart is from a...Ch. 2.2 - Prob. 12PBCh. 2.2 - Prob. 13PBCh. 2.2 - Prob. 14PBCh. 2.2 - Sugar dot plot For the breakfast cereal data given...Ch. 2.2 - Prob. 16PBCh. 2.2 - Graphing exam scores A teacher shows her class the...Ch. 2.2 - Fertility rates The fertility rate for a nation is...Ch. 2.2 - Split Stems The figure below shows the...Ch. 2.2 - Histogram for sugar For the breakfast cereal data,...Ch. 2.2 - Prob. 21PBCh. 2.2 - Prob. 22PBCh. 2.2 - Prob. 23PBCh. 2.2 - Prob. 24PBCh. 2.2 - Prob. 25PBCh. 2.2 - Prob. 26PBCh. 2.2 - Prob. 27PBCh. 2.2 - Warming in Newnan, Georgia? Access the Newnan, GA...Ch. 2.3 - Median versus mean For each of the following...Ch. 2.3 - Prob. 30PBCh. 2.3 - Prob. 31PBCh. 2.3 - Resistance to an outlier Consider the following...Ch. 2.3 - Income and health insurance According to the U.S....Ch. 2.3 - Prob. 34PBCh. 2.3 - Prob. 35PBCh. 2.3 - Prob. 36PBCh. 2.3 - Public transportationcenter The owner of a company...Ch. 2.3 - Prob. 38PBCh. 2.3 - Prob. 39PBCh. 2.3 - European fertility The European fertility rates...Ch. 2.3 - Sex partners A recent General Social Survey asked...Ch. 2.3 - Prob. 43PBCh. 2.3 - Prob. 44PBCh. 2.3 - Prob. 45PBCh. 2.4 - Sick leave A company decides to investigate the...Ch. 2.4 - Prob. 47PBCh. 2.4 - Prob. 48PBCh. 2.4 - Prob. 49PBCh. 2.4 - Exam standard deviation For an exam given to a...Ch. 2.4 - Heights For the sample heights of Georgia college...Ch. 2.4 - Histograms and standard deviation The figure shows...Ch. 2.4 - Female strength The High School Female Athletes...Ch. 2.4 - Female body weight The College Athletes data file...Ch. 2.4 - Shape of cigarette taxes A recent summary for the...Ch. 2.4 - Empirical rule and skewed, highly discrete...Ch. 2.4 - How much TV? The 2012 General Social Survey asked,...Ch. 2.4 - How many friends? A recent General Social Survey...Ch. 2.4 - Judging skew using x and s If the largest...Ch. 2.4 - Youth unemployment in the EU The Youth...Ch. 2.4 - Create data with a given standard deviation Use...Ch. 2.5 - Vacation days National Geographic Traveler...Ch. 2.5 - Youth unemployment In recent years, many European...Ch. 2.5 - Female strength The High School Female Athletes...Ch. 2.5 - Female body weight The College Athletes data file...Ch. 2.5 - Ways to measure variability The standard...Ch. 2.5 - Variability of cigarette taxes Heres the...Ch. 2.5 - Prob. 68PBCh. 2.5 - Infant mortality Africa The Human Development...Ch. 2.5 - Prob. 70PBCh. 2.5 - Computer use During a recent semester at the...Ch. 2.5 - Central Park temperature distribution revisited...Ch. 2.5 - Box plot for exam The scores on an exam have mean...Ch. 2.5 - Public transportation Exercise 2.37 described a...Ch. 2.5 - Prob. 75PBCh. 2.5 - Prob. 76PBCh. 2.5 - Prob. 77PBCh. 2.5 - Prob. 78PBCh. 2.5 - Prob. 79PBCh. 2.5 - Prob. 80PBCh. 2.5 - Prob. 81PBCh. 2.5 - Prob. 82PBCh. 2.6 - Great pay (on the average) The six full-time...Ch. 2.6 - Prob. 84PBCh. 2.6 - Prob. 85PBCh. 2.6 - Terrorism and war in Iraq In 2004, a college...Ch. 2.6 - Prob. 87PBCh. 2.6 - Prob. 88PBCh. 2 - Categorical or quantitative? Identify each of the...Ch. 2 - Continuous or discrete? Which of the following...Ch. 2 - Prob. 92CPCh. 2 - Cool in China A recent survey8 asked 1200...Ch. 2 - Prob. 94CPCh. 2 - Prob. 95CPCh. 2 - Prob. 96CPCh. 2 - Prob. 97CPCh. 2 - Prob. 98CPCh. 2 - Prob. 99CPCh. 2 - Prob. 100CPCh. 2 - Prob. 101CPCh. 2 - Prob. 103CPCh. 2 - Household net worth A study reported that in 2007...Ch. 2 - Prob. 105CPCh. 2 - Prob. 106CPCh. 2 - Prob. 107CPCh. 2 - Central Park monthly temperatures The MINITAB...Ch. 2 - Prob. 109CPCh. 2 - Female heights According to a recent report from...Ch. 2 - Energy and water consumption In parts a and b,...Ch. 2 - Prob. 112CPCh. 2 - More hurricane damage Refer to the previous...Ch. 2 - Prob. 114CPCh. 2 - Prob. 115CPCh. 2 - Prob. 116CPCh. 2 - Prob. 117CPCh. 2 - Temperatures in Central Park Access the Central...Ch. 2 - Teachers salaries According to Statistical...Ch. 2 - Prob. 120CPCh. 2 - What box plot do you expect? For each of the...Ch. 2 - Prob. 122CPCh. 2 - Prob. 123CPCh. 2 - Prob. 124CPCh. 2 - Prob. 125CPCh. 2 - Who was Roger Maris? Roger Maris, who spent most...Ch. 2 - Baseballs great home run hitters The Baseballs HR...Ch. 2 - Prob. 128CPCh. 2 - Controlling asthma A study of 13 children...Ch. 2 - Prob. 130CPCh. 2 - Youth unemployment by gender The side-by-side box...Ch. 2 - You give examples Give an example of a variable...Ch. 2 - Political conservatism and liberalism Where do...Ch. 2 - Mode but not median and mean The previous exercise...Ch. 2 - Multiple choice: GRE scores In a study of graduate...Ch. 2 - Multiple choice: Fact about s Which statement...Ch. 2 - Prob. 137CPCh. 2 - True or false: a. The mean, median, and mode can...Ch. 2 - Bad statistic A teacher summarizes grades on an...Ch. 2 - True or false: Soccer According to a story in the...Ch. 2 - Mean for grouped data Refer to the calculation of...Ch. 2 - Prob. 142CPCh. 2 - Range and standard deviation approximation Use the...Ch. 2 - Range the least resistant Weve seen that measures...Ch. 2 - Using MAD to measure variability The standard...Ch. 2 - Prob. 146CPCh. 2 - Create own data For the Mean Versus Median web...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- You find out that the dietary scale you use each day is off by a factor of 2 ounces (over — at least that’s what you say!). The margin of error for your scale was plus or minus 0.5 ounces before you found this out. What’s the margin of error now?arrow_forwardSuppose that Sue and Bill each make a confidence interval out of the same data set, but Sue wants a confidence level of 80 percent compared to Bill’s 90 percent. How do their margins of error compare?arrow_forwardSuppose that you conduct a study twice, and the second time you use four times as many people as you did the first time. How does the change affect your margin of error? (Assume the other components remain constant.)arrow_forward
- Out of a sample of 200 babysitters, 70 percent are girls, and 30 percent are guys. What’s the margin of error for the percentage of female babysitters? Assume 95 percent confidence.What’s the margin of error for the percentage of male babysitters? Assume 95 percent confidence.arrow_forwardYou sample 100 fish in Pond A at the fish hatchery and find that they average 5.5 inches with a standard deviation of 1 inch. Your sample of 100 fish from Pond B has the same mean, but the standard deviation is 2 inches. How do the margins of error compare? (Assume the confidence levels are the same.)arrow_forwardA survey of 1,000 dental patients produces 450 people who floss their teeth adequately. What’s the margin of error for this result? Assume 90 percent confidence.arrow_forward
- The annual aggregate claim amount of an insurer follows a compound Poisson distribution with parameter 1,000. Individual claim amounts follow a Gamma distribution with shape parameter a = 750 and rate parameter λ = 0.25. 1. Generate 20,000 simulated aggregate claim values for the insurer, using a random number generator seed of 955.Display the first five simulated claim values in your answer script using the R function head(). 2. Plot the empirical density function of the simulated aggregate claim values from Question 1, setting the x-axis range from 2,600,000 to 3,300,000 and the y-axis range from 0 to 0.0000045. 3. Suggest a suitable distribution, including its parameters, that approximates the simulated aggregate claim values from Question 1. 4. Generate 20,000 values from your suggested distribution in Question 3 using a random number generator seed of 955. Use the R function head() to display the first five generated values in your answer script. 5. Plot the empirical density…arrow_forwardFind 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_forwardplease answer these questionsarrow_forward
- Selon une économiste d’une société financière, les dépenses moyennes pour « meubles et appareils de maison » ont été moins importantes pour les ménages de la région de Montréal, que celles de la région de Québec. Un échantillon aléatoire de 14 ménages pour la région de Montréal et de 16 ménages pour la région Québec est tiré et donne les données suivantes, en ce qui a trait aux dépenses pour ce secteur d’activité économique. On suppose que les données de chaque population sont distribuées selon une loi normale. Nous sommes intéressé à connaitre si les variances des populations sont égales.a) Faites le test d’hypothèse sur deux variances approprié au seuil de signification de 1 %. Inclure les informations suivantes : i. Hypothèse / Identification des populationsii. Valeur(s) critique(s) de Fiii. Règle de décisioniv. Valeur du rapport Fv. Décision et conclusion b) A partir des résultats obtenus en a), est-ce que l’hypothèse d’égalité des variances pour cette…arrow_forwardAccording to an economist from a financial company, the average expenditures on "furniture and household appliances" have been lower for households in the Montreal area than those in the Quebec region. A random sample of 14 households from the Montreal region and 16 households from the Quebec region was taken, providing the following data regarding expenditures in this economic sector. It is assumed that the data from each population are distributed normally. We are interested in knowing if the variances of the populations are equal. a) Perform the appropriate hypothesis test on two variances at a significance level of 1%. Include the following information: i. Hypothesis / Identification of populations ii. Critical F-value(s) iii. Decision rule iv. F-ratio value v. Decision and conclusion b) Based on the results obtained in a), is the hypothesis of equal variances for this socio-economic characteristic measured in these two populations upheld? c) Based on the results obtained in a),…arrow_forwardA major company in the Montreal area, offering a range of engineering services from project preparation to construction execution, and industrial project management, wants to ensure that the individuals who are responsible for project cost estimation and bid preparation demonstrate a certain uniformity in their estimates. The head of civil engineering and municipal services decided to structure an experimental plan to detect if there could be significant differences in project evaluation. Seven projects were selected, each of which had to be evaluated by each of the two estimators, with the order of the projects submitted being random. The obtained estimates are presented in the table below. a) Complete the table above by calculating: i. The differences (A-B) ii. The sum of the differences iii. The mean of the differences iv. The standard deviation of the differences b) What is the value of the t-statistic? c) What is the critical t-value for this test at a significance level of 1%?…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

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