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
Textbook Question
Chapter 4.6, Problem 4.108ACI
Safety of underground tunnels. Research published in the journal Tunnelling and Underground Space Technology (July 2014) evaluated the safety of underground tunnels built in rigid soils. A factor of safety (FS), measured as the ratio of capacity over demand, was determined for three different areas of tunnels made from shotcrete: tunnel face, tunnel walls, and tunnel crown. FS was determined to be
Standard Deviation (σ) | ||
Tunnel Face | 1.2 | .16 |
Tunnel Walls | 1.4 | .20 |
Tunnel Crown | 2.1 | .70 |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems
are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration
system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A
random sample of measurements are shown below. (Reference: EPA Wetland Case Studies.)
Reading
Inlet (mg/l)
Outlet (mg/l)
3
4
5
6
7
8
9
10
11
12
31.6 86.9 87.0 12.0 45.4 43.3 32.3 77.7 71.7 85.9
64.9
80.1
3.3 14.2 16.8 5.7 4.6
6.2
3.4
7.7 8.0
7.4
8.7
14.3
Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings.
(a) Rank-order the inlet readings using 1 as the largest data…
Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A random sample of measurements are shown below. (Reference: EPA Wetland Case Studies.)
Reading
1
2
3
4
5
6
7
8
9
10
11
12
Inlet (mg/l)
59.1
25.7
70.5
71.0
37.6
43.5
13.1
24.2
16.7
49.1
67.6
31.7
Outlet (mg/l)
18.2
14.3
15.3
17.5
13.1
8.0
4.1
4.4
4.3
5.8
16.3
7.1
Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings.
(a) Rank-order the inlet readings using 1 as…
Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A random sample of measurements are shown below. (Reference: EPA Wetland Case Studies.)
Reading
1
2
3
4
5
6
7
8
9
10
11
12
Inlet (mg/l)
62.1
13.8
63.5
30.6
91.1
11.5
67.2
75.6
79.3
29.5
72.9
21.3
Outlet (mg/l)
11.3
2.7
7.5
12.3
12.9
3.8
13.3
13.2
15.1
6.0
7.0
4.7
Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings.
(a) Rank-order the inlet readings using 1 as…
Chapter 4 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 4.1 - Types of random variables. Which of the following...Ch. 4.1 - Types of finance random variables. Security...Ch. 4.1 - NHTSA crash tests. Refer to the National Highway...Ch. 4.1 - Customers in line at a Subway shop. The number of...Ch. 4.1 - Executive pay. Refer to Glassdoor Economic...Ch. 4.1 - Banking. Give an example of a discrete random...Ch. 4.1 - Economics. Give an example of a continuous random...Ch. 4.1 - Hotel management. Give an example of a discrete...Ch. 4.1 - Retailing. Give two examples of discrete random...Ch. 4.1 - Stock market. Give an example of a continuous...
Ch. 4.2 - A discrete random variable x can assume five...Ch. 4.2 - The random variable x has the following discrete...Ch. 4.2 - A discrete random variable x can assume five...Ch. 4.2 - Explain why each of the following is or is not a...Ch. 4.2 - A die is tossed. Let x be the number of spots...Ch. 4.2 - Toss three fair coins and let x equal the number...Ch. 4.2 - Use the apple! Random Numbers to generate a list...Ch. 4.2 - Run the applet Simulating the Probability of a...Ch. 4.2 - Consider the probability distribution shown here:...Ch. 4.2 - Consider the probability distribution for the...Ch. 4.2 - Consider the probability distributions shown here:...Ch. 4.2 - Apps not working on smartphone. In a Pew Research...Ch. 4.2 - NHTSA crash tests. Refer to the NHTSA crash tests...Ch. 4.2 - Ages of dot-com employees. The age (in years)...Ch. 4.2 - Variable speed limit control for freeways. A...Ch. 4.2 - Choosing portable grill displays. Refer to the...Ch. 4.2 - Do social robots walk or roll? Refer to the...Ch. 4.2 - Reliability of a manufacturing network. A team of...Ch. 4.2 - Prob. 4.27ACICh. 4.2 - Prob. 4.28ACICh. 4.2 - Contaminated gun cartridges. A weapons...Ch. 4.2 - The last name effect in purchasing. The Journal of...Ch. 4.2 - Mail rooms contaminated with anthrax. During...Ch. 4.2 - Investment risk analysis. The risk of a portfolio...Ch. 4.2 - Prob. 4.33ACICh. 4.2 - Stock market participation and IQ. Refer to The...Ch. 4.2 - Expected loss due to flood damage. The National...Ch. 4.2 - Expected Lotto winnings. Most states offer weekly...Ch. 4.2 - Prob. 4.37ACACh. 4.2 - Prob. 4.38ACACh. 4.2 - Prob. 4.39ACACh. 4.3 - Compute the following: a. 6!2!(62)! b. (52) c....Ch. 4.3 - Consider the following probability distribution:...Ch. 4.3 - Suppose x is a binomial random variable with n = 3...Ch. 4.3 - If x is a binomial random variable, compute p (x)...Ch. 4.3 - If x is a binomial random variable, use Table I in...Ch. 4.3 - If x is a binomial random variable, calculate , 2,...Ch. 4.3 - The binomial probability distribution is a family...Ch. 4.3 - Use the applets Simulating the Probability of a...Ch. 4.3 - Open the applet Sample from a Population. On the...Ch. 4.3 - Use the applet Simulating the Stock Market to...Ch. 4.3 - Working on summer vacation. Recall (Exercise 3.13,...Ch. 4.3 - Privacy and information sharing. Some grocery...Ch. 4.3 - Hotel guest satisfaction. Each year, J. D. Power...Ch. 4.3 - Physicians opinions on a career in medicine. The...Ch. 4.3 - Playing sports related to job pay. Does...Ch. 4.3 - Immediate feedback to incorrect exam answers....Ch. 4.3 - Fingerprint expertise. Refer to the Psychological...Ch. 4.3 - Making your vote count. Refer to the Chance (Fall...Ch. 4.3 - Bridge inspection ratings. According to the...Ch. 4.3 - Tax returns audited by the IRS. According to the...Ch. 4.3 - FDA report on pesticides in food. Periodically,...Ch. 4.3 - Prob. 4.58ACACh. 4.3 - USGA golf ball specifications. According to the...Ch. 4.3 - Network forensic analysis. A network forensic...Ch. 4.4 - Consider the probability distribution shown here:...Ch. 4.4 - Assume that x is a random variable having a...Ch. 4.4 - Prob. 4.63LMCh. 4.4 - Prob. 4.64LMCh. 4.4 - Prob. 4.65LMCh. 4.4 - Suppose x is a random variable for which a Poisson...Ch. 4.4 - Prob. 4.67LMCh. 4.4 - Prob. 4.68LMCh. 4.4 - Prob. 4.69ACBCh. 4.4 - FDIC bank failures. The Federal Deposit Insurance...Ch. 4.4 - Airline fatalities. Over the past 5 years, U.S....Ch. 4.4 - Male nannies. According to the International Nanny...Ch. 4.4 - Contaminated gun cartridges. Refer to the...Ch. 4.4 - Prob. 4.74ACBCh. 4.4 - Prob. 4.75ACICh. 4.4 - Traffic fatalities and sporting events. The...Ch. 4.4 - Prob. 4.77ACICh. 4.4 - Guilt in decision making. The Journal of...Ch. 4.4 - Flaws in plastic-coated wire. The British Columbia...Ch. 4.4 - Making high-stakes insurance decisions. The...Ch. 4.4 - Prob. 4.81ACACh. 4.4 - Waiting for a car wash. An automatic car wash...Ch. 4.4 - Elevator passenger arrivals. A study of the...Ch. 4.6 - Find the area under the standard normal...Ch. 4.6 - Find the following probabilities for the standard...Ch. 4.6 - Find the following probabilities for the standard...Ch. 4.6 - Find each of the following probabilities for the...Ch. 4.6 - Find a value of the standard normal random...Ch. 4.6 - Find a value of the standard normal random...Ch. 4.6 - Give the z-score for a measurement from a normal...Ch. 4.6 - Suppose the random variable x is best described by...Ch. 4.6 - The random variable x has a normal distribution...Ch. 4.6 - Suppose x is a normally distributed random...Ch. 4.6 - Suppose x is a normally distributed random...Ch. 4.6 - Suppose x is a binomial random variable with p =...Ch. 4.6 - Assume that x is a binomial random variable with n...Ch. 4.6 - Open the applet Sample from a Population. On the...Ch. 4.6 - Variable life insurance return rates. With a...Ch. 4.6 - Hotels use of ecolabels. Refer to the Journal of...Ch. 4.6 - Tomato as a taste modifier. Miraculina protein...Ch. 4.6 - Corporate sustainability of CPA firms. Refer to...Ch. 4.6 - Shopping vehicle and judgment. Refer to the...Ch. 4.6 - Buy-side vs. sell-side analysts earnings...Ch. 4.6 - Blood diamonds. According to Global Research News...Ch. 4.6 - Prob. 4.104ACBCh. 4.6 - Executive networking and firm performance. Refer...Ch. 4.6 - Voltage sags and swells. Refer to the Electrical...Ch. 4.6 - Prob. 4.107ACICh. 4.6 - Safety of underground tunnels. Research published...Ch. 4.6 - Prob. 4.109ACICh. 4.6 - Manufacturing hourly pay rate. Government data...Ch. 4.6 - Personnel dexterity tests. Personnel tests are...Ch. 4.6 - Californias electoral college votes. During a...Ch. 4.6 - Prob. 4.113ACICh. 4.6 - Industrial filling process. The characteristics of...Ch. 4.6 - Prob. 4.115ACACh. 4.6 - Box plots and the standard normal distribution....Ch. 4.7 - If a population data set is normally distributed,...Ch. 4.7 - Prob. 4.118LMCh. 4.7 - Prob. 4.119LMCh. 4.7 - Examine the sample data in the accompanying table....Ch. 4.7 - Prob. 4.121ACBCh. 4.7 - Prob. 4.122ACBCh. 4.7 - Drug content assessment. Scientists at...Ch. 4.7 - Prob. 4.124ACBCh. 4.7 - Prob. 4.125ACBCh. 4.7 - Wear-out of used display panels. Wear-out failure...Ch. 4.7 - Rankings of research universities. Refer to the...Ch. 4.7 - Sanitation inspection of cruise ships. Refer to...Ch. 4.7 - Ranking driving performance of professional...Ch. 4.7 - Permeability of sandstone during weathering. Refer...Ch. 4.7 - Prob. 4.131ACACh. 4.8 - Suppose x is a random variable best described by a...Ch. 4.8 - Suppose x is a random variable best described by a...Ch. 4.8 - Refer to Exercise 4.133. Find the following...Ch. 4.8 - Suppose x has an exponential distribution with =...Ch. 4.8 - Prob. 4.136LMCh. 4.8 - Prob. 4.137LMCh. 4.8 - Prob. 4.138LMCh. 4.8 - Prob. 4.7AECh. 4.8 - Prob. 4.8AECh. 4.8 - Load on timber beams. Timber beams are widely used...Ch. 4.8 - Preventative maintenance tests. The optimal...Ch. 4.8 - Maintaining pipe wall temperature. Maintaining a...Ch. 4.8 - Detecting anthrax. Researchers at the University...Ch. 4.8 - Lead in metal shredder residue. On the basis of...Ch. 4.8 - Critical-part failures in NASCAR vehicles. In...Ch. 4.8 - Social network densities. Social networking sites...Ch. 4.8 - Boeing 787 Dreamliner. An assessment of the new...Ch. 4.8 - Soft-drink dispenser. The manager of a local...Ch. 4.8 - Prob. 4.148ACICh. 4.8 - Prob. 4.149ACICh. 4.8 - Cycle availability of a system. In the jargon of...Ch. 4.8 - Prob. 4.151ACICh. 4.8 - Reliability of CO-ROMs. In Reliability Ques (March...Ch. 4.8 - Prob. 4.153ACACh. 4.8 - Reliability of a robotic device. The reliability...Ch. 4.8 - Prob. 4.155ACACh. 4 - For each of the following examples, decide whether...Ch. 4 - Given that x is a binomial random variable,...Ch. 4 - Consider the discrete probability distribution...Ch. 4 - Suppose x is a binomial random variable with n =...Ch. 4 - Suppose x is a Poisson random variable. Compute p...Ch. 4 - Identify the type of random variablebinomial,...Ch. 4 - Prob. 4.162LMCh. 4 - Which of the following describe discrete random...Ch. 4 - Assume that x is a random variable best described...Ch. 4 - Find the following probabilities for the standard...Ch. 4 - Find a z-score, call it z0, such that a. P (z z0)...Ch. 4 - Identify the type of continuous random...Ch. 4 - Assume that x has an exponential distribution with...Ch. 4 - The random variable x has a normal distribution...Ch. 4 - Assume that x is a binomial random variable with n...Ch. 4 - The random variable x has a normal distribution...Ch. 4 - Analysis of bottled water. Is the bottled water...Ch. 4 - Downloading apps to your cell phone. According to...Ch. 4 - LASIK surgery complications. According to studies,...Ch. 4 - Requests to a Web server. According to Brighton...Ch. 4 - NASA and rare planet transits. A planet transit is...Ch. 4 - Hospital patient interarrival times. The length of...Ch. 4 - Dutch elm disease. A nursery advertises that it...Ch. 4 - Tracking missiles with satellite imagery. The...Ch. 4 - The business of casino gaming. Casino gaming...Ch. 4 - Machine repair times. An article in IEEE...Ch. 4 - Public transit deaths. Millions of suburban...Ch. 4 - On-site treatment of hazardous waste. The Resource...Ch. 4 - When to replace a maintenance system. An article...Ch. 4 - Software file updates. Software configuration...Ch. 4 - NHTSA crash safety tests. Refer to Exercise 4.21...Ch. 4 - Errors in measuring truck weights. To help highway...Ch. 4 - Detecting a computer virus attack. Chance (Winter...Ch. 4 - Whistle-blowing among federal employees....Ch. 4 - Ambulance response time. Ambulance response time...Ch. 4 - Optimal goal target in soccer. When attempting to...Ch. 4 - Marine losses for an oil company. The frequency...Ch. 4 - Reliability of a flow network. The journal...Ch. 4 - Doctors and ethics. Refer to the Journal of...Ch. 4 - Prob. 4.195ACICh. 4 - Testing for spoiled wine. Suppose that you are...Ch. 4 - Estimating demand for white bread. A bakery has...Ch. 4 - Checkout lanes at a supermarket. A team of...Ch. 4 - Rating employee performance. Almost all companies...Ch. 4 - Ship-to-shore transfer times. Lack of port...Ch. 4 - Prob. 4.201ACACh. 4 - Establishing tolerance limits. The tolerance...Ch. 4 - The showcase showdown. On the popular television...Ch. 4 - Reliability of a one-shot device. A one-shot...Ch. 4 - Super weapons development. The U.S. Army is...Ch. 4 - Space shuttle disaster. On January 28, 1986, the...Ch. 4 - Warehouse clubs are retailers that offer lower...Ch. 4 - Prob. 4.1.2ACh. 4 - Prob. 4.1.3ACh. 4 - Prob. 4.1.4ACh. 4 - Prob. 4.1.5ACh. 4 - Prob. 4.1.6ACh. 4 - Prob. 4.1.7ACh. 4 - Warehouse clubs are retailers that offer lower...
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
- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?arrow_forwardFind the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardTurbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A random sample of measurements are shown below. (Reference: EPA Wetland Case Studies.) Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings. (a) Rank-order the inlet readings using 1 as the largest data value. Also rank-order the outlet readings using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. (c) Compute…arrow_forward
- Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article "An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 181 diabetic patients. The results are presented in the following table. Left Foot Right Foot 80 80 85 85 75 80 88 86 89 87 87 82 78 78 88 89 89 90 76 81 89 86 87 82 78 78 80 81 87 82 86 85 76 80 88 89 Construct a scatterplot of the right foot temperature (y) versus the left foot temperature (x). Verify that a linear model is appropriate. b. Compute the least-squares line for predicting the right foot temperature from the left foot temperature. If the left foot temperatures of two patients differ by 2 degrees, by how much would you predict their right foot temperatures to differ? Predict the right foot temperature for a patient whose left…arrow_forwardExercise 2. A study is designed to test whether there is a difference in mean daily calcium intake in adults with normal bone density and adults with osteoporosis. Adults 60 years of age with normal bone density and osteoporosis are selected at random from hospital records and invited to participate in the study. Each participant's daily calcium intake (mg) is measured based on reported food intake and supplements. The data are shown below. Normal Bone Density: 1200 1000 980 900 750 800 Osteoporosis: 890 650 1100 900 400 350 480 Do these data give statistical evidence of differences in mean calcium intake across the two groups? That is, do these data give statistical evidence that the process means, say mean(Y:RE,) and mean(Y:RE2) are different? Here, Y = daily calcium intake (mg), RE, = "Nature generates a 60-year-old with normal bone density" and RE2 ="Nature generates a 60-year-old with osteoporosis." (a) Carefully describe the target of inference. Hint: This will be a difference bw…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningGlencoe 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
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
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
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License