Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2.4, Problem 2.56LM
Answer the following questions about variability of data sets:
- a. What is the primary disadvantage of using the
range to compare the variability of data sets? - b. Describe the sample variance using words rather than a formula. Do the same with the population variance.
- c. Can the variance of a data set ever be negative? Explain. Can the variance ever be smaller than the standard deviation? Explain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Using the accompanying Home Market Value data and associated regression line,
Market ValueMarket Valueequals=$28,416+$37.066×Square
Feet, compute the errors associated with each observation using the formula
e Subscript ieiequals=Upper Y Subscript iYiminus−ModifyingAbove Upper Y with caret Subscript iYi
and construct a frequency distribution and histogram.
LOADING...
Click the icon to view the Home Market Value data.
Question content area bottom
Part 1
Construct a frequency distribution of the errors,
e Subscript iei.
(Type whole numbers.)
Error
Frequency
minus−15 comma 00015,000less than<
e Subscript iei
less than or equals≤minus−10 comma 00010,000
0
minus−10 comma 00010,000less than<
e Subscript iei
less than or equals≤minus−50005000
5
minus−50005000less than<
e Subscript iei
less than or equals≤0
21
0less than<
e Subscript iei
less than or equals≤50005000
9…
The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c
Overhead Costs Billable Hours345000 3000385000 4000410000 5000462000 6000530000 7000545000 8000
Using the accompanying Home Market Value data and associated regression line,
Market ValueMarket Valueequals=$28,416plus+$37.066×Square
Feet, compute the errors associated with each observation using the formula
e Subscript ieiequals=Upper Y Subscript iYiminus−ModifyingAbove Upper Y with caret Subscript iYi
and construct a frequency distribution and histogram.
Square Feet Market Value1813 911001916 1043001842 934001814 909001836 1020002030 1085001731 877001852 960001793 893001665 884001852 1009001619 967001690 876002370 1139002373 1131001666 875002122 1161001619 946001729 863001667 871001522 833001484 798001589 814001600 871001484 825001483 787001522 877001703 942001485 820001468 881001519 882001518 885001483 765001522 844001668 909001587 810001782 912001483 812001519 1007001522 872001684 966001581 86200
Chapter 2 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 2.1 - Complete the following table.Ch. 2.1 - A qualitative variable with three classes (X, Y,...Ch. 2.1 - STEM experiences for girls. The National Science...Ch. 2.1 - Cable TV subscriptions and cord cutters. Has the...Ch. 2.1 - Do social robots walk or roll? A social (or...Ch. 2.1 - Top credit card issuers, by region. The Nilson...Ch. 2.1 - Microsoft program security issues. To help its...Ch. 2.1 - Jamming attacks on wireless networks. Refer to the...Ch. 2.1 - The Apprentice contestants performance ratings....Ch. 2.1 - The economic return to earning an MBA. Refer to...
Ch. 2.1 - Profiling UK rental malls. An analysis of the...Ch. 2.1 - History of corporate acquisitions. A corporate...Ch. 2.1 - Twitter opinions of iPhone 6 features. What are...Ch. 2.1 - Museum management. What criteria do museums use to...Ch. 2.1 - Advertising with reader-response cards....Ch. 2.1 - Motivation and right-oriented bias. Evolutionary...Ch. 2.1 - Groundwater contamination in wells. In New...Ch. 2.2 - Graph the relative frequency histogram for the 500...Ch. 2.2 - Refer to Exercise 2.18. Calculate the number of...Ch. 2.2 - Consider the stem-and-leaf display shown here. a....Ch. 2.2 - Minitab was used to generate the following...Ch. 2.2 - Stability of compounds in new drugs. Testing the...Ch. 2.2 - Corporate sustainability of CPA firms. Refer to...Ch. 2.2 - Sanitation inspection of cruise ships. To minimize...Ch. 2.2 - History of corporate acquisitions. Refer to the...Ch. 2.2 - Most valuable NFL teams. Each year Forbes reports...Ch. 2.2 - State SAT scores. Educators are constantly...Ch. 2.2 - Items arriving and departing a work center. In a...Ch. 2.2 - Crude oil biodegradation. In order to protect...Ch. 2.2 - Volkswagen emissions scandal. Recently, the...Ch. 2.2 - Is honey a cough remedy? Does a teaspoon of honey...Ch. 2.2 - Time in bankruptcy. Financially distressed firms...Ch. 2.2 - Prob. 2.33ACACh. 2.2 - Prob. 2.34ACACh. 2.3 - Calculate the mean and median of the following...Ch. 2.3 - Calculate the mean for samples where a. n = 10, x...Ch. 2.3 - Explain how the relationship between the mean and...Ch. 2.3 - Explain the difference between the calculation of...Ch. 2.3 - Calculate the mode, mean, and median of the...Ch. 2.3 - Calculate the mean, median, and mode for each of...Ch. 2.3 - Describe how the mean compares to the median for a...Ch. 2.3 - Use the applet entitled Mean versus Median to find...Ch. 2.3 - Prob. 2.2AECh. 2.3 - Use the applet Mean versus Median to study the...Ch. 2.3 - Hotels use of ecolabels. Ecolabels such as Energy...Ch. 2.3 - Rankings of research universities. Based on...Ch. 2.3 - Performance of stock screeners. Investment...Ch. 2.3 - Performance-based logistics. Refer to the Journal...Ch. 2.3 - Surface roughness of oil field pipe. Oil field...Ch. 2.3 - Prob. 2.47ACICh. 2.3 - Corporate sustainability of CPA firms. Refer to...Ch. 2.3 - Is honey a cough remedy? Refer to the Archives of...Ch. 2.3 - Crude oil biodegradation. Refer to the Journal of...Ch. 2.3 - Symmetric or skewed? Would you expect the data...Ch. 2.3 - Prob. 2.52ACICh. 2.3 - Prob. 2.53ACACh. 2.3 - Prob. 2.54ACACh. 2.3 - Prob. 2.55ACACh. 2.4 - Answer the following questions about variability...Ch. 2.4 - Calculate the range, variance, and standard...Ch. 2.4 - Calculate the variance and standard deviation for...Ch. 2.4 - Compute x,s2, and s for each of the following data...Ch. 2.4 - Calculate the range, variance, and standard...Ch. 2.4 - Using only integers between 0 and 10, construct...Ch. 2.4 - Using only integers between 0 and 10, construct...Ch. 2.4 - Consider the following sample of five...Ch. 2.4 - Use the applet entitled Standard Deviation to find...Ch. 2.4 - Use the applet Standard Deviation to study the...Ch. 2.4 - Use the applet Standard Deviation to study the...Ch. 2.4 - Hotels use of ecolabels. Refer to the Journal of...Ch. 2.4 - Permeability of sandstone during weathering. Refer...Ch. 2.4 - Performance of stock screeners. Refer to the...Ch. 2.4 - Corporate sustainability of CPA firms. Refer to...Ch. 2.4 - Is honey a cough remedy? Refer to the Archives of...Ch. 2.4 - Active nuclear power plants. Refer to Exercise...Ch. 2.4 - Estimating production time. A widely used...Ch. 2.5 - The output from a statistical software package...Ch. 2.5 - Prob. 2.72LMCh. 2.5 - For a set of data with a mound-shaped relative...Ch. 2.5 - The following is a sample of 25 measurements: a....Ch. 2.5 - Given a data set with a largest value of 760 and a...Ch. 2.5 - Voltage sags and swells. The power quality of a...Ch. 2.5 - Permeability of sandstone during weathering. Refer...Ch. 2.5 - Do social robots walk or roll? Refer to the...Ch. 2.5 - College dropout study. The American Economic...Ch. 2.5 - Motivation of drug dealers. Consider a study of...Ch. 2.5 - Sanitation inspection of cruise ships. Refer to...Ch. 2.5 - Volkswagen emissions scandal. Refer to the...Ch. 2.5 - Auditing water resources in Australia. Australia...Ch. 2.5 - The Apprentice contestants performance ratings....Ch. 2.5 - Shopping vehicle and judgment. While shopping at...Ch. 2.5 - Buy-side vs. sell-side analysts earnings...Ch. 2.5 - Prob. 2.87ACACh. 2.5 - Improving SAT scores. The National Education...Ch. 2.5 - Prob. 2.89ACACh. 2.6 - Compute the z-score corresponding to each of the...Ch. 2.6 - Give the percentage of measurements in a data set...Ch. 2.6 - In terms of percentiles, define QL, QM and QU.Ch. 2.6 - Compare the z-scores to decide which of the...Ch. 2.6 - Suppose that 40 and 90 are two elements of a...Ch. 2.6 - Mathematics assessment test scores. According to...Ch. 2.6 - Prob. 2.96ACBCh. 2.6 - Prob. 2.97ACBCh. 2.6 - Sanitation inspection of cruise ships Refer to the...Ch. 2.6 - Prob. 2.99ACICh. 2.6 - Prob. 2.100ACICh. 2.6 - Executive networking and firm performance. Do...Ch. 2.6 - Blue- vs. red-colored exam study. In a study of...Ch. 2.6 - Ranking PhD programs in economics. Thousands of...Ch. 2.6 - Using z-scores for grades. At one university, the...Ch. 2.6 - Prob. 2.105ACACh. 2.7 - A sample data set has a mean of 57 and a standard...Ch. 2.7 - Suppose a data set consisting of exam scores has a...Ch. 2.7 - Consider the horizontal box plot shown below. a....Ch. 2.7 - Prob. 2.109LMCh. 2.7 - Prob. 2.7AECh. 2.7 - Rankings of research universities. Refer to the...Ch. 2.7 - Voltage sags and swells. Refer to the Electrical...Ch. 2.7 - Treating psoriasis with the Doctorfish of Kangal....Ch. 2.7 - Budget lapsing at army hospitals. Accountants use...Ch. 2.7 - Salary offers to MBAs. Consider the top salary...Ch. 2.7 - Prob. 2.115ACICh. 2.7 - Prob. 2.116ACICh. 2.7 - Sanitation inspection of cruise ships. Referto...Ch. 2.7 - Network server downtime. A manufacturer of network...Ch. 2.7 - Permeability of sandstone during weathering. Refer...Ch. 2.7 - Prob. 2.120ACACh. 2.7 - Prob. 2.121ACACh. 2.8 - Construct a scatterplot for the data in the...Ch. 2.8 - Construct a scatterplot for the data in the...Ch. 2.8 - Prob. 2.124ACBCh. 2.8 - Prob. 2.125ACBCh. 2.8 - Lobster trap placement. Strategic placement of...Ch. 2.8 - Does elevation impact hitting performance in...Ch. 2.8 - Prob. 2.128ACBCh. 2.8 - Prob. 2.129ACBCh. 2.8 - Spreading rate of spilled liquid A contract...Ch. 2.8 - Performance ratings of government agencies. The...Ch. 2.8 - Most valuable NFL teams. Refer to the Forbes...Ch. 2.8 - Best-paid CEOs. Refer to Glassdoor Economic...Ch. 2.8 - Prob. 2.134ACACh. 2.10 - Museum management. Refer to the Museum Management...Ch. 2.10 - Volkswagen emissions scandal. Refer to the...Ch. 2.10 - BP oil leak. In the summer of 2010, an explosion...Ch. 2 - Construet a relative frequency histogram for the...Ch. 2 - Discuss the conditions under which the median is...Ch. 2 - Consider the following three measurements: 50, 70,...Ch. 2 - Refer to Exercise 2.141c. For parts a-d, determine...Ch. 2 - For each of the following data sets, compute x,...Ch. 2 - For each of the following data sets, compute x,...Ch. 2 - Explain why we generally prefer the standard...Ch. 2 - If the range of a set of data is 20, find a rough...Ch. 2 - Prob. 2.147LMCh. 2 - Motivation of drug dealers. Refer to the Applied...Ch. 2 - Slogs for Fortune 500 firms. Web site...Ch. 2 - Management system failures. The U.S. Chemical...Ch. 2 - Business marketing publications....Ch. 2 - U.S. business bankruptcies. The American...Ch. 2 - Prob. 2.153ACBCh. 2 - Products Made in the USA. Made in the USA is a...Ch. 2 - Prob. 2.155ACBCh. 2 - Drivers stopped by police. According to the Bureau...Ch. 2 - U.S. wine export markets. The Center for...Ch. 2 - Prob. 2.158ACICh. 2 - Hull failures of oil tankers. Owing to several...Ch. 2 - Software defects. The Promise Software Engineering...Ch. 2 - Prob. 2.161ACICh. 2 - Time to develop price quotes. A manufacturer of...Ch. 2 - Trend in Iraq War casualties. While the United...Ch. 2 - Prob. 2.164ACICh. 2 - Radiation levels in homes. In some locations,...Ch. 2 - Doctors and ethics. For physicians confronted with...Ch. 2 - Prob. 2.167ACICh. 2 - Investigating the claims of weight-loss clinics....Ch. 2 - Age discrimination study. The Age Discrimination...Ch. 2 - No Child Left Behind Act. According to the...Ch. 2 - Steel rod quality. In his essay Making Things...
Additional Math Textbook Solutions
Find more solutions based on key concepts
For Exercises 13–18, write the negation of the statement.
13. The cell phone is out of juice.
Math in Our World
1. How much money is Joe earning when he’s 30?
Pathways To Math Literacy (looseleaf)
Provide an example of a qualitative variable and an example of a quantitative variable.
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
153. A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure, the edges ...
College Algebra (7th Edition)
True or False The quotient of two polynomial expressions is a rational expression, (p. A35)
Precalculus
1. How is a sample related to a population?
Elementary Statistics: Picturing the World (7th Edition)
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
- For a binary asymmetric channel with Py|X(0|1) = 0.1 and Py|X(1|0) = 0.2; PX(0) = 0.4 isthe probability of a bit of “0” being transmitted. X is the transmitted digit, and Y is the received digit.a. Find the values of Py(0) and Py(1).b. What is the probability that only 0s will be received for a sequence of 10 digits transmitted?c. What is the probability that 8 1s and 2 0s will be received for the same sequence of 10 digits?d. What is the probability that at least 5 0s will be received for the same sequence of 10 digits?arrow_forwardV2 360 Step down + I₁ = I2 10KVA 120V 10KVA 1₂ = 360-120 or 2nd Ratio's V₂ m 120 Ratio= 360 √2 H I2 I, + I2 120arrow_forwardQ2. [20 points] An amplitude X of a Gaussian signal x(t) has a mean value of 2 and an RMS value of √(10), i.e. square root of 10. Determine the PDF of x(t).arrow_forward
- In a network with 12 links, one of the links has failed. The failed link is randomlylocated. An electrical engineer tests the links one by one until the failed link is found.a. What is the probability that the engineer will find the failed link in the first test?b. What is the probability that the engineer will find the failed link in five tests?Note: You should assume that for Part b, the five tests are done consecutively.arrow_forwardProblem 3. Pricing a multi-stock option the Margrabe formula The purpose of this problem is to price a swap option in a 2-stock model, similarly as what we did in the example in the lectures. We consider a two-dimensional Brownian motion given by W₁ = (W(¹), W(2)) on a probability space (Q, F,P). Two stock prices are modeled by the following equations: dX = dY₁ = X₁ (rdt+ rdt+0₁dW!) (²)), Y₁ (rdt+dW+0zdW!"), with Xo xo and Yo =yo. This corresponds to the multi-stock model studied in class, but with notation (X+, Y₁) instead of (S(1), S(2)). Given the model above, the measure P is already the risk-neutral measure (Both stocks have rate of return r). We write σ = 0₁+0%. We consider a swap option, which gives you the right, at time T, to exchange one share of X for one share of Y. That is, the option has payoff F=(Yr-XT). (a) We first assume that r = 0 (for questions (a)-(f)). Write an explicit expression for the process Xt. Reminder before proceeding to question (b): Girsanov's theorem…arrow_forwardProblem 1. Multi-stock model We consider a 2-stock model similar to the one studied in class. Namely, we consider = S(1) S(2) = S(¹) exp (σ1B(1) + (M1 - 0/1 ) S(²) exp (02B(2) + (H₂- M2 where (B(¹) ) +20 and (B(2) ) +≥o are two Brownian motions, with t≥0 Cov (B(¹), B(2)) = p min{t, s}. " The purpose of this problem is to prove that there indeed exists a 2-dimensional Brownian motion (W+)+20 (W(1), W(2))+20 such that = S(1) S(2) = = S(¹) exp (011W(¹) + (μ₁ - 01/1) t) 롱) S(²) exp (021W (1) + 022W(2) + (112 - 03/01/12) t). where σ11, 21, 22 are constants to be determined (as functions of σ1, σ2, p). Hint: The constants will follow the formulas developed in the lectures. (a) To show existence of (Ŵ+), first write the expression for both W. (¹) and W (2) functions of (B(1), B(²)). as (b) Using the formulas obtained in (a), show that the process (WA) is actually a 2- dimensional standard Brownian motion (i.e. show that each component is normal, with mean 0, variance t, and that their…arrow_forward
- The scores of 8 students on the midterm exam and final exam were as follows. Student Midterm Final Anderson 98 89 Bailey 88 74 Cruz 87 97 DeSana 85 79 Erickson 85 94 Francis 83 71 Gray 74 98 Harris 70 91 Find the value of the (Spearman's) rank correlation coefficient test statistic that would be used to test the claim of no correlation between midterm score and final exam score. Round your answer to 3 places after the decimal point, if necessary. Test statistic: rs =arrow_forwardBusiness discussarrow_forwardBusiness discussarrow_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
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
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