Concept explainers
During the spring of 1999, many fuel storage facilities in Serbia were destroyed by bombing. As a result, significant quantities of oil products were spilled and burned, resulting in soil pollution. The article “Mobility of Heavy Metals Originating from Bombing of Industrial Sites” (B. Škrbić, J. Novaković, and N. Miljević, Journal of Environmental Science and Health, 2002:7–16) reports measurements of heavy metal concentrations at several industrial sites in June 1999, just after the bombing, and again in March of 2000. At the Smederevo site, on the banks of the Danube River, eight soil specimens taken in 1999 had an average lead concentration (in mg/kg) of 10.7 with a standard deviation of 3.3. Four specimens taken in 2000 had an average lead concentration of 33.8 with a standard deviation of 0.50. Find a 95% confidence interval for the increase in lead concentration between June 1999 and March 2000.
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Statistics for Engineers and Scientists
- The article "Experimental Measurement of Radiative Heat Transfer in Gas-Solid Suspension Flow System" (G. Han, K. Tuzla, and J. Chen, AIChe Journal, 2002:1910- 1916) discusses the calibration of a radiometer. Several measurements were made on the electromotive force readings of the radiometer (in volts) and the radiation flux (in kilowatts per square meter). The results (read from a graph) are presented in the following table. Heat flux (y) 15 31 51 55 67 89 Signal output (x) 1.08 2.42 4.17 4.46 5.17 6.92 Compute the least-squares line for predicting heat flux from the signal output. If the radiometer reads 3.00 V, predict the heat flux. If the radiometer reads 8.00 V, should the heat flux be predicted? If so, predict it. If not, explain why. C.arrow_forwardThe article "Effect of Granular Subbase Thickness on Airfield Pavement Structural Response" (K. Gopalakrishnan and M. Thompson, Journal of Materials in Civil Engineering, 2008:331-342) presents a study of the effect of the subbase thickness (in mm) on the amount of surface deflection caused by aircraft landing on an airport runway. Two landing gears, one simulating a Boeing 747 aircraft, and the other a Boeing 777 aircraft, were trafficked across four test sections of runway. The results are presented in the following table. Section 3 4 Boeing 747 Boeing 777 4.01 3.87 3.72 3.76 4.57 4.48 4.36 4.43 Can you conclude that the mean deflection is greater for the Boeing 777?arrow_forwardThe depth of wetting of a soil is the depth to which water content will increase owing to extemal factors. The article "Discussion of Method for Evaluation of Depth of Wetting in Residential Areas" (J. Nelson, K. Chao, and D. Overton, Journal of Geotechnical and Geoenvironmental Engineering, 2011:293-296) discusses the relationship between depth of wetting beneath a structure and the age of the structure. The article presents measurements of depth of wetting, in meters, and the ages, in years, of 21 houses, as shown in the following table. Age Depth 7.6 4 4.6 6.1 9.1 3 4.3 7.3 5.2 10.4 15.5 5.8 10.7 4 5.5 6.1 10.7 10.4 4.6 7.0 6.1 14 16.8 10 9.1 8.8 Compute the least-squares line for predicting depth of wetting (y) from age (x). b. Identify a point with an unusually large x-value. Compute the least-squares line that results from deletion of this point. Identify another point which can be classified as an outlier. Compute the least-squares line that results from deletion of the outlier,…arrow_forward
- 5) Alcohol consumption is influenced by price and packaging, but what about glassware? Atwood et al. (2012) measured whether the time taken to drink a beer was influenced by the shape of the glass in which it was served. Participants were given a 12 oz. of chilled lager and were told that they should drink it at their own pace while watching a nature documentary. The participants were randomly assigned to receive their beer in either a straight-sided glass or a curved, fluted glass. The data below are the total time in minutes to drink the glass of beer by the 19 women participants in the study. Straight glass: 11.63 10.37 17.89 6.96 20.40 20.64 9.26 18.11 10.33 23.54 Curved glass: 7.46 9.28 8.90 6.73 8.25 6.16 13.09 2.10 6.37 a. Show the data in a graph. What trend is suggested? Comment on other differences between the frequency distributions of the two samples. b. Test whether the mean total time to drink the beer differs depending on beer glass shape.arrow_forwardArchaeologists can determine the diets of ancient civilizations by measuring the ratio of carbon-13 to carbon-12 in bones found at burial sites. Large amounts of carbon-13 suggest a diet rich in grasses such as maize, while small amounts suggest a diet based on herbaceous plants. The article "Climate and Diet in Fremont Prehistory: Economic Variability and Abandonment of Maize Agriculture in the Great Salt Lake Basin" (J. Coltrain and S. Leavitt, American Antiquity, 2002:453-485) reports ratios, as a difference from a standard in units of parts per thousand, for bones from individuals in several age groups. The data are presented in the following table. Ratio Age Group (years) 0-11 17.2 18.4 17.9 16.6 19.0 18.3 13.6 13.5 18.5 19.1 19.1 13.4 12-24 14.8 17.6 18.3 17.2 10.0 11.3 10.2 17.0 18.9 19.2 25-45 18.4 13.0 14.8 18.4 12.8 17.6 18.8 179 18.5 17.5 18.3 15.2 10.8 19.8 1 19.2 15.4 13.2 46+ 15.5 18.2 12.7 15.1 18.2 18.0 14.4 10.2 16.7 Construct an ANOVA table. You may give a range for…arrow_forwardA state agency requires a minimum of 5 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. Six water specimens taken from a river at a specific location during the low-water season (July) gave readings of 5.0, 5.0, 5.0, 5.1, 4.9, and 4.6 ppm of dissolved oxygen. Do the data provide sufficient evidence to indicate that the dissolved oxygen content is less than 5 ppm? Test using a = 0.05. State the null and alternative hypotheses. Но: и 5 HoiH = 5 versus H:µ < 5 Ho: u + 5 versus H: µ = 5 Ho: H < 5 versus H: µ = 5 a = 5 versus H: µ + 5 State the test statistic. (Round your answer to three decimal places.) t = -.938 State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) State the conclusion. Ho is not rejected. There is insufficient evidence to conclude that the dissolved oxygen content is less than 5 ppm. H, is rejected. There is sufficient…arrow_forward
- The article "Vehicle-Arrival Characteristics at Urban Uncontrolled Intersections" (V. Rengaraju and V. Rao, Journal of Transportation Engineering, 1995:317–323) presents data on traffic characteristics at 10 intersections in Madras, India. The following table provides data on road width in m (x1), traffic volume in vehicles per lane per hour (x2), and median speed in km/h (x3). X1 X2 35.0 76 370 37.5 88 475 26.5 76 507 33.0 80 654 22.5 65 917 26.5 75 842 27.5 92 723 28.0 90 923 23.5 86 1039 24.5 80 1120 Fit the model y = Bo + Bjx1 + Bzx2 + ɛ.Findthe P-values for testing that the coefficients a. are equal to 0. Fit the model y = Bo + BqX1 + e. Findthe P-values for testing that the coefficients are b. equal to 0. Fit the model y = Bo + Bzx2 + ɛ. Findthe P-values for testing that the coefficients are equal to 0. Which of the models (a) through (c) do you think is best? Why? C. d.arrow_forwardCortisol is a hormone that plays an important role in mediating stress. There is a growing awareness that exposure of outdoor workers to pollutants may impact cortisol levels. The article "Plasma Cortisol Concentration and Lifestyle in a Population of Outdoor Workers" (International Journal of Environmental Health Res., 2011: 62-71) reported on a study involving three groups of police officers: 1. Traffic Police (TP) 2. Drivers (D) 3. Other Duties (0) Here is summary data on cortisol concentration (ng/ml) for a subset of the officers who neither drank nor smoked. Group Sample Size Mean SD TP 174.7 50.9 160.2 37.2 153.5 45.9 44 44 44 Assuming that the standard assumptions for one-way ANOVA are satisfied, carry out a test at significance level 0.05 to decide whether the true average cortisol concentration is different for the three groups. If any differences exist, state which groups are different.arrow_forwardThe article "Estimating Population Abundance in Plant Species with Dormant Life-Stages: Fire and the Endangered Plant Grevillea caleye R Br." (T. Auld and J. Scott, Ecological Management and Restoration, 2004:125-129) presents estimates of population sizes of a certain rare shrub in areas burnt by fire. The following table presents population counts and areas (in m?) for several patches containing the plant. Агеа 3739 Population 3015 5277 1847 400 17 345 392 142 40 7000 2521 213 11958 1200 2878 707 113 1392 157 12000 10880 711 74 2259 223 81 15 33 18 1254 1320 229 351 1000 92 841 1720 1500 300 228 31 228 17 10 Compute the least-squares line for predicting population (y) from area (x). Б. a. Plot the residuals versus the fitted values. Does the model seem appropriate? Compute the least-squares line for predicting In y from In x. Plot the residuals versus the fitted values. Does the model seem appropriate? Using the more appropriate model, construct a 95% prediction interval for the…arrow_forward
- A state agency requires a minimum of 5 parts per million (ppm) of dissolved oxygen in order for the oxygen content to be sufficient to support aquatic life. Six water specimens taken from a river at a specific location during the low-water season (July) gave readings of 4.8, 5.2, 4.8, 4.9, 4.9, and 4.6 ppm of dissolved oxygen. Do the data provide sufficient evidence to indicate that the dissolved oxygen content is less than 5 ppm? Test using ? = 0.05. a) state null and alternate hypotheses b) state the test statistic c) state the rejection region d) state the conclusionarrow_forwardFoot ulcers are 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 18 diabetic patients. The results are presented in the Table QI. Table Q1: Measurements of temperatures, in °F of left foot Vs right foot for 18 diabetic patients Left Foot 80 foo Right Foot Right Foot 81 Left Foot (a) berature m80 85 76 85 89 86 9 marks) 75 80 87 82 88 foot temper 86sof 89 would thei 87 ht foo temp 80ures will 78s differ by 278reespredict by 81 (b) 87 82 87 82 I marks) 78 right foot to9erature for 76 tient whose 0 foot tmperature 78 86 85 (c) 88 89 90 88 89 (I marks) (d) Test the slope, ß1 = 1 at 5% level of significance. (e) Calculate the coefficient of correlation r and r² and then interpret their valuesarrow_forwardThe article "Effect of Refrigeration on the Potassium Bitartrate Stability and Composition of Italian Wines" (A. Versari, D. Barbanti, et al., Italian Journal of Food Science, 2002:45- 52) reports a study in which eight types of white wine had their tartaric acid concentration (in g/L) measured both before and after a cold stabilization process. The results are presented in the following table: Wine Type Before After Difference 2.86 2.59 0.27 2.85 2.47 0.38 3 1.84 1.58 0.26 4 1.60 1.56 0.04 0.80 0.78 0.02 6. 0.89 0.66 0.23 2.03 1.87 0.16 1.90 1.71 0.19 Find a 95% confidence interval for the mean difference between the tartaric acid concentrations before and after the cold stabilization process.arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt