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
Textbook Question
Chapter 2.8, Problem 2.130ACI
Spreading rate of spilled liquid A contract engineer at DuPont Corp. studied the rate at which a spilled volatile liquid will spread across a surface (Chemical Engineering Progress. January 2005). Assume 50 gallons of methanol spills onto a level surface outdoors. The engineer used derived empirical formulas (assuming a state of turbulent-free convection) to calculate the mass (in pounds) of the spill after a period of time
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Mist (airborne droplets or aerosols) is generated when metal-removing fluids are used in machining operations to cool and lubricate the tool and workpiece. Mist generation is a concern to OSHA,
which has recently lowered substantially the workplace standard. An article gave the accompanying data on x = fluid-flow velocity for a 5% soluble oil (cm/sec) and y = the extent of mist droplets
having diameters smaller than 10 µm (mg/m³):
90 177 180 354 365 442 964
y 0.38 0.60 0.47 0.66 0.62 0.69 0.91
(a) The investigators performed a simple linear regression analysis to relate the two variables. Does a scatter plot of the data support this strategy?
shows a reasonable linear relationship.
O No, a scatter plot does not show a reasonable linear relationship.
(b) What proportion of observed variation in mist can be attributed to the simple linear regression relationship between velocity and mist? (Round your answer to three decimal places.)
(c) The investigators were particularly interested in…
Mist (airborne droplets or aerosols) is generated when metal-removing fluids are used in machining operations to cool and lubricate the tool and workpiece. Mist generation is a concern to OSHA, which has recently lowered
substantially the workplace standard. An article gave the accompanying data on x =
fluid-flow velocity for a 5% soluble oil (cm/sec) and y
the extent of mist droplets having diameters smaller than 10 µm (mg/m³):
85
177
190
354
360
442
960
0.39
0.60 0.45 0.66 0.60
0.69
0.90
(a) The investigators performed a simple linear regression analysis to relate the two variables. Does a scatter plot of the data support this strategy?
Yes, a scatter plot shows a reasonable linear relationship.
No, a scatter plot does not show a reasonable linear relationship.
(b) What proportion of observed variation in mist can be attributed to the simple linear regression relationship between velocity and mist? (Round your answer to three decimal places.)
(c) The investigators were particularly…
Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity of the fluid gradually
decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v (x)
is the velocity of the fluid (in cm/sec) and X represents the distance (in cm) from the center of the pipe toward the edge.
1
5
8 9
2
3
4
6
7
v (x) 195.9 195.2 194.2 192.7 190.8 188.4 185.6
182.3 178.6 174.5
Part: 0/ 4
Part 1 of 4
(a) The pipe is 10 m long (1000 cm). Determine how long it will take fluid to run the length of the pipe through the center
of the pipe. Round to 1 decimal place.
It will take fluid approximately 5.104 sec to run the length of the pipe through the center
of the pipe.
Part: 1/4
Part 2 of 4
(b) Determine how long it will take fluid at a point 9 cm from the center of the pipe to run the length of the pipe. Round to 1
decimal place.
It will take fluid approximately
sec to run the length of the pipe at a point 9…
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...
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
- Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.arrow_forwardIf V represents the volume of an object, what doesdV/dt represent?arrow_forwardCoal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficlent as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (In tons/month) in the gas: Time (months) 01 2 34 5 6 Rate (tons/month) 8 12 17 24 3241 50 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate = E tons underestimate = tons B. Make an overestimate and an underestimate of the total quantity of pollutants that escape for the whole six months for which we have data. overestimate = underestimate = Note: You can eam partial credit on this problemarrow_forward
- The instantaneous flow rate of kerosene flowing through a pipe in 1000 kg/h is reported to be as follows Time, min 0 15 30 45 60 75 90 105 120 Flow rate, kg/s x 10-3 2.7 2.1 1.8 1.8 2.0 2.3 2.6 3.0 3.6 Calculate the total quantity of oil flowing in the pipe during the two-hour period using Simpson’s one-third rularrow_forwardDo just part f urgent solution requiredarrow_forwardCan you use OLS to estimate B the model y; = e? Ytarrow_forward
- Medical researchers tested a new method of typing blood using low-cost paper. The researchers applied blood drops to the paper and recorded the rate of absorption (called blood wicking). The table gives the wicking lengths (millimeters) for six blood drops, each at a different antibody concentration. Let y = wicking length and x = antibody concentration. Droplet Length Concentration 1 22.50 0.0 2 16.00 0.2 3 13.50 0.4 14.00 0.6 5 13.75 0.8 6 12.50 1.0 (1) Give the equation of the fitted regression model. b1: (Round off to 4 decimal places) bo: (Round off to 4 decimal places) (2) Test the hypothesis that the Bo = 20 versus Bo < 20 using a=0.1. Test Statistic (Round off to 2 decimal places): Conclusion: (Type 'Reject HO' or 'Fail to Reject HO') (3) Construct the ANOVA table to test Bo = 0 versus Bo + 0 using a=0.05. (Show in Solution) (4) Find the coefficient of determination. (Round off to 4 decimal places)arrow_forwardTo investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a water-filled pool and in a pool where the water was thickened with food grade guar gum to create a syrup-like consistency. Velocity, in meters per second, was recorded and the results are given in the table below. Swimmer Velocity (m/s) Water Guar Syrup 1 0.90 0.94 2 0.92 0.97 3 1.00 0.95 4 1.10 1.15 5 1.20 1.24 6 1.25 1.24 7 1.25 1.27 8 1.30 1.30 9 1.35 1.32 10 1.40 1.43 11 1.40 1.42 12 1.50 1.54 13 1.65 1.58 14 1.70 1.70 15 1.75 1.80 16 1.80 1.77 17 1.80 1.82 18 1.85 1.86 19 1.90 1.88 20 1.95 1.95 The researchers concluded that swimming in guar syrup does not change mean swimming speed. Are the given data consistent with this conclusion? Carry out a hypothesis test using a 0.01 significance level. (Use ?d = ?water − ?guar syrup.) Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one…arrow_forwardTo investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a water-filled pool and in a pool where the water was thickened with food grade guar gum to create a syrup-like consistency. Velocity, in meters per second, was recorded and the results are given in the table below. Swimmer Velocity (m/s) Water Guar Syrup 1 0.90 0.94 2 0.92 0.97 3 1.00 0.95 4 1.10 1.15 5 1.20 1.24 6 1.25 1.24 7 1.25 1.27 8 1.30 1.30 9 1.35 1.31 10 1.40 1.42 11 1.40 1.41 12 1.50 1.54 13 1.65 1.59 14 1.70 1.70 15 1.75 1.80 16 1.80 1.77 17 1.80 1.81 18 1.85 1.86 19 1.90 1.89 20 1.95 1.95 The researchers concluded that swimming in guar syrup does not change mean swimming speed. Are the given data consistent with this conclusion? Carry out a hypothesis test using a 0.01 significance level. (Use μd = μwater − μguar syrup.) State the appropriate null and alternative hypotheses. H0: μd ≠ 0 Ha: μd = 0 H0: μd = 0 Ha: μd ≠ 0…arrow_forward
- To investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a water-filled pool and in a pool where the water was thickened with food grade guar gum to create a syrup-like consistency. Velocity, in meters per second, was recorded and the results are given in the table below. Swimmer Velocity (m/s) Water Guar Syrup 1 0.90 0.94 2 0.92 0.97 3 1.00 0.95 4 1.10 1.15 5 1.20 1.24 6 1.25 1.24 7 1.25 1.27 8 1.30 1.30 9 1.35 1.32 10 1.40 1.41 11 1.40 1.42 12 1.50 1.54 13 1.65 1.58 14 1.70 1.70 15 1.75 1.80 16 1.80 1.77 17 1.80 1.82 18 1.85 1.89 19 1.90 1.88 20 1.95 1.95 Find the test statistic and P-value. (Use a table or technology. Round your test statistic to one decimal place and your P-value to three decimal places.) t= P-value= State the conclusion in the problem context. We fail to reject H0. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed.We reject H0.…arrow_forwardTo investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a water-filled pool and in a pool where the water was thickened with food grade guar gum to create a syrup-like consistency. Velocity, in meters per second, was recorded and the results are given in the table below. Swimmer Velocity (m/s) Water Guar Syrup 1 0.90 0.94 2 0.92 0.97 3 1.00 0.95 4 1.10 1.15 5 1.20 1.24 6 1.25 1.24 7 1.25 1.27 8 1.30 1.30 9 1.35 1.32 10 1.40 1.41 11 1.40 1.42 12 1.50 1.54 13 1.65 1.58 14 1.70 1.70 15 1.75 1.80 16 1.80 1.77 17 1.80 1.82 18 1.85 1.89 19 1.90 1.88 20 1.95 1.95 The researchers concluded that swimming in guar syrup does not change mean swimming speed. Are the given data consistent with this conclusion? Carry out a hypothesis test using a 0.01 significance level. (Use ?d = ?water − ?guar syrup.) State the appropriate null and alternative hypotheses. H0: ?d < 0 Ha: ?d = 0 H0: ?d = 0 Ha: ?d < 0…arrow_forwardTo investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a water-filled pool and in a pool where the water was thickened with food grade guar gum to create a syrup-like consistency. Velocity, in meters per second, was recorded and the results are given in the table below. Swimmer Velocity (m/s) Water Guar Syrup 1 0.90 0.93 2 0.92 0.98 3 1.00 0.95 4 1.10 1.14 5 1.20 1.23 6 1.25 1.23 7 1.25 1.28 8 1.30 1.30 9 1.35 1.34 10 1.40 1.42 11 1.40 1.44 12 1.50 1.53 13 1.65 1.59 14 1.70 1.70 15 1.75 1.80 16 1.80 1.78 17 1.80 1.84 18 1.85 1.86 19 1.90 1.89 20 1.95 1.95 The researchers concluded that swimming in guar syrup does not change mean swimming speed. Are the given data consistent with this conclusion? Carry out a hypothesis test using a 0.01 significance level. (Use μd = μwater − μguar syrup.) Find the test statistic and P-value. (Round your test statistic to one decimal place and your…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Introduction to Algebra: Using Variables; Author: Professor Dave Explains;https://www.youtube.com/watch?v=WZdZhuUSmpM;License: Standard YouTube License, CC-BY