The article “Magma Interaction Processes Inferred from Fe-Ti Oxide Compositions in the Dölek and Sariçiçek Plutons, Eastern Turkey” (O. Karsli, F. Aydin. et al., Turkish Journal of Earth Sciences, 2008:297–315) presents chemical compositions (in weight-percent) for several rock specimens. Fourteen specimens (two outliers were removed) of limenite grain had an average iron oxide (Fe2O3) content of 9.30 with a standard deviation of 2.71, and seven specimens of limenite lamella had an average iron oxide content of 9.47 with a standard deviation of 2.22. Can you conclude that the
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- The article “Abyssal Peridotites > 3800 Ma from Southern West Greenland: Field Relationships, Petrography, Geochronology, Whole-Rock and Mineral Chemistry of Dunite and Harzburgite Inclusions in the Itsaq Gneiss Complex” (C. Friend, V. Bennett, and A. Nutman, Contrib Mineral Petrol, 2002:71–92) describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.25 and standard deviation 0.36. Find the mean and standard deviation of the sample mean SiO2 content in a random sample of 10 rocks. How many rocks must be sampled so that the standard deviation of the sample mean SiO2 content is 0.05?arrow_forwardThe article "Electrical Impedance Variation with Water Saturation in Rock" (Q. Su, Q. Feng, and Z. Shang, Geophysics, 2000:68–75) reports measurements of permeabilities (in 10-3um?), porosities (in percent), and surface area per unit volume of pore space (in 104 cm -1) for several rock samples. The results are presented in the following table, denoting In Permeability by y, porosity by x1, and surface area per unit volume by x2. y -0.27 х, 19.83 X2 9.55 2.58 17.93 10.97 3.18 21.27 31.02 1.70 18.67 28.12 -1.17 7.98 52.35 -0.27 10.16 32.82 17.86 13.48 -0.53 57.66 -0.29 21.10 4.94 17.49 9.15 1.94 14.18 11.72 3.74 23.88 5.43 0.58 10.52 20.03 -0.56 18.92 13.10 -0.49 18.55 12.78 -0.01 13.72 40.28 -1.71 9.12 53.67 14.39 11.38 -0.12 26.75 -0.92 75.62 2.18 16.59 9.95 4.46 16.77 7.88 2.11 18.55 88.10 -0.04 18.02 10.95 Fit the model y = 6, + B,X1 + B>x2 + B3x;xX2 + ɛ. Compute the analysis of variance table. a. b. Fit the model y = Bo + B;X1 + B2X2 + ɛ. Compute the analysis of variance table. c.…arrow_forwardThe minister of environment in a certain country decided to investigate whether expansion of a aluminum plant in that country would affect fluoride pollution in it's environment. The productions occurred the years 2005 and 2006. One of the things measured was the amount of fluoride in lamb jaws. The data available are measurements of fluoride in the jaws of 8 lambs that were slaughtered in the year 2004 and 8 lambs that were slaughtered in the year 2007. The data is shown below, along with a R output that can simplify your calculations. Fluoride amount 2004 (ug/g) | Fluoride amount 2007 (ug/g) 131.37 655.09 252.74 541.37 81.29 564.58 225.55 617.97 222.44 472.54 68.29 606.62 227.55 500.80 111.86 394.67 > fs2004 fs2007 mean (fs2004) [1] 165.1363 > mean (fs2007) [1] 544.205 > var (fs2004) [1] 5555.906 > var (fs2007) [1] 7348.022 > d mean (d) [1] 379.0688 > var (d) [1] 14657.70arrow_forward
- The article "Oxidation State and Activities of Chromium Oxides in Cao-SiO,-CrO, Slag System" (Y. Xiao, L. Holappa, and M. Reuter, Metallurgical and Materials Transactions B, 2002:595-603) presents the amount x (in mole percent) and activity coefficient y of CrO,5 for several specimens. The data, extracted from a larger table, are presented in the following table. х У 2.6 10.20 5.03 19.9 8.84 0.8 6.62 5.3 2.89 20.3 2.31 39.4 7.13 5.8 3.40 29.4 5.57 2.2 7.23 5.5 2.12 33.1 1.67 44.2 5.33 13.1 16.70 0.6 9.75 2.2 2.74 16.9 2.58 35.5 1.50 48.0 Compute the least-squares line for predicting y from x. b. Plot the residuals versus the fitted values. Compute the least-squares line for predicting y from 1/x. d. Plot the residuals versus the fitted values. C. Using the better fitting line, find a 95% confidence interval for the mean value of y when x= 5.0.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_forwardThe article "Change in Creep Behavior of Plexiform Bone with Phosphate Ion Treatment" (R. Regimbal, C. DePaula, and N. Guzelsu, Bio-Medical Materials and Engineering, 2003:11-25) describes an experiment to study the effects of saline and phosphate ion solutions on mechanical properties of plexiform bone. The following table presents the yield stress measurements for six specimens treated with either saline (NaCI) or phosphate ion (Na,HPO4) solution, at a temperature of either 25°C or 37°C. (The article presents means and standard deviations only; the values in the table are consistent with these.) Solution Temperature NaCl Yield Stress (MPa) 138.40 130.89 94.646 96.653 116.90 88.215 25°C NaCl 37°C 92.312 147.28 116.48 88.802 114.37 90.737 Na,HPO, 25°C 120.18 129.43 139.76 132.75 137.23 121.73 Na,HPO4 37°C 123.50 128.94 102.86 99.941 161.68 136.44 a. Estimate all main effects and interactions. b. Construct an ANOVA table. You may give ranges for the P-values. Is the additive model…arrow_forward
- The article “Effect of Varying Solids Concentration and Organic Loading on the Performance of Temperature Phased Anaerobic Digestion Process” (S. Vandenburgh and T. Ellis, Water Environment Research, 2002:142–148) discusses experiments to determine the effect of the solids concentration on the performance of treatment methods for wastewater sludge. In the first experiment, the concentration of solids (in g/L) was 43.94 ± 1.18. In the second experiment, which was independent of the first, the concentration was 48.66 ± 1.76. Estimate the difference in the concentration between the two experiments, and find the uncertainty in the estimate.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_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 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_forward
- Following are measurements of soil concentrations (in mg /kg) of chromium (Cr) and nickel (Ni) at20 sites in the area of Cleveland, Ohio. These data are taken from the article "Variation in NorthAmerican Regulatory Guidance for Heavy Metal Surface Soil Contamination at Commercial andIndustrial Sites" (A. Jennings and J. Ma, J. Environment Eng, 2007:587-609). Cr: 260 19 36 247 263 319 317 277 319 264 23 29 61 119 33 281 21 35 64 30Ni: 435 377 359 53 38 38 54 188 397 33 92 490 28 35 799 347 321 32 74 508 (a) Construct a histogram for each set of concentrations. (b) Find the 1st, 2nd and 3rd quartiles for the Cr concentrations (c) Find the 1st, 2nd and 3rd quartiles for the Ni concentrations.arrow_forwardQ1A) List down the measures of central tendency and measures of dispersion 1) Q1B) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. PLEAS ANSWER Q1&B. THANK YOU.arrow_forwardIms.tu.edu.sa قائمة القراءة. Remaining Time: 34 minutes, 24 seconds. v Question Completion Status: QUESTION 1 "Suppose X has an exponential distribution with ß=1/2 , then P (X2 2) is " 0.3988 O 0.0183 0.4786 O 0.2916 QUESTION 2 "Suppose X has an exponential distribution with ß=1/4 , then P (Xs1.) is " O 0.9817 O 0.3246 O 0.4105 O 0.5116 QUESTION 3arrow_forward
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