Four types of mortars—ordinary cement mortar (OCM). polymer impregnated mortar (PIM), resin mortar (RM), and polymer cement mortar (PCM)—were subjected to a compression test to measure strength (MPa). Three strength observations for each mortar type are given in the article “Polymer Mortar Composite Matrices for Maintenance-Free Highly Durable Ferrocement” (J. of Ferrocement, 1984: 337-345) and are reproduced here. Construct an ANOVA table. Using a .05 significance level, determine whether the data suggests that the true
OCM | 32.15 | 35.53 | 34.20 |
PIM | 126.32 | 126.80 | 134.79 |
RM | 117.91 | 115.02 | 114.58 |
PCM | 29.09 | 30.87 | 29.80 |
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
- The 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 amount of surface deflection caused by aircraft landing on an airport runway. A load of 160 kN was applied to a runway surface, and the amount of deflection in mm (y) was measured at various distances in m (x) from the point of application. The results are presented in the following table. y 0.000 3.24 0.305 2.36 0.610 1.42 0.914 0.87 1.219 0.54 1.524 0.34 1.830 0.24 a. Fit the linear model y = Bo + B1x + ɛ. For each coefficient, test the hypothesis that the coefficient is equal to 0. b. Fit the quadratic model y = Bo + Bịx + B2x² + ɛ. For each coefficient, test the hypothesis that the coefficient is equal to 0. %3D Fit the cubic model y = Bo + B1x + B2x? + B3x + E. For each coefficient, test the C. hypothesis that the coefficient is equal to 0. d. Which of the models in parts (a)…arrow_forwardAn engineer has set up a DOE (design-of-experiment) to test the wear of laminated materials and how it depends on the glue and filler used. At each test condition, two experiments were run. The engineer collected the data below. Calculate the main and interaction effects. Glue Filler Result 1 Result 2 0.3 0.5 65 70 0.6 0.5 0.3 0.75 0.6 0.75 101 89 97 61 72 105 Calculate the test statistics. SSclue number (rtol=0.01, atol=0.0001) SSpiller number (rtol=0.01, atol=0.0001) SSinteraction number (rtol=0.01, atol=0.0001) Felue number (rtol=0.01, atol=0.0001) Friller number (rtol=0.01, atol=0.0001) Finteraction number (rtol=0.01, atol=0.0001) Calculate the p-value. Pclue number (rtol=0.01, atol=0.0001) PFiller number (rtol=0.01, atol=0.0001) Pinteraction number (rtol=0.01, atol=0.0001) Which are statistically significant at a 10% level? State your decisions. O (a) Cannot Reject HO: Glue O (b) Reject HO: Interaction O (c) Cannot Reject HO: Interaction O (d) Reject H0: Filler O (e) Cannot Reject…arrow_forwardPLS ANSWERarrow_forward
- The article "Permeability, Diffusion and Solubility of Gases" (B. Flaconnèche, et al., Oil and Gas Science and Technology, 2001:262–278) reported on a study of the effect of temperature and other factors on gas transport coefficients in semicrystalline polymers. The permeability coefficient (in 10-6 cm³ (STP) / cm · s· MPa) of CO, was measured for extruded medium-density polyethylene at both 60°C and 61°C. The results are as follows: 60°C: 54 51 61 67 57 69 60 60 63 62 61°C: 58 60 66 66 68 61 60 Find a 95% confidence interval for the difference in the permeability coefficent between 60°C and 61°C.arrow_forwardBody Fat. In the paper “Total Body Composition by Dual- Photon (153 Gd) Absorptiometry” (American Journal of Clinical Nutrition, Vol. 40, pp. 834–839), R. Mazess et al. studied methods for quantifying body composition. Eighteen randomly selected adults were measured for percentage of body fat, using dual-photon absorptiometry. Each adult’s age and percentage of body fat are shown on the WeissStats site. a. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (b)–(d). b. Obtain the coefficient of determination. c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer. d. State how useful the regression equation appears to be for making predictions.arrow_forwardBody Fat. In the paper “Total Body Composition by Dual- Photon (153 Gd) Absorptiometry” (American Journal of Clinical Nutrition, Vol. 40, pp. 834–839), R. Mazess et al. studied methods for quantifying body composition. Eighteen randomly selected adults were measured for percentage of body fat, using dual-photon absorptiometry. Each adult’s age and percentage of body fat are shown on the WeissStats site. a. Decide whether you can reasonably apply the regression t-test. If so, then also do part (b). b. Decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.arrow_forward
- 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 "Efficient Pyruvate Production by a Multi-Vitamin Auxotroph of Torulopsis glabrata: Key Role and Optimization of Vitamin Levels" (Y. Li, J. Chen, et al., Applied Microbiology and Biotechnology, 2001:680-685) investigates the effects of the levels of several vitamins in a cell culture on the yield (in g/L) of pyruvate, a useful organic acid. The data in the following table are presented as two replicates of a 23 design. The factors are A: nicotinic acid, B: thiamine, and C: biotin. (Two statistically insignificant factors have been dropped. In the article, each factor was tested at four levels; we have collapsed these to two.) в Mean Yield Yields 0.55, 0.49 A. -1 -1 -1 0.520 -1 -1 0.60, 0.42 0.37, 0.28 0.30, 0.28 0.54, 0.54 0.54, 0.47 0.44, 0.33 0.36, 0.20 0.510 0.325 0.290 -1 -1 -1 -1 -1 1. 0.540 -1 0.505 -1 0.385 0.280 Compute estimates of the main effects and interactions, and the sum of squares and P- value for each. a. b. Is the additive model appropriate? C. What…arrow_forwarddon't give hand written solution.arrow_forward
- The article “Models for Assessing Hoisting Times of Tower Cranes” (A. Leung and C. Tam, Journal of Construction Engineering and Management, 1999: 385–391) presents a model constructed by a stepwise regression procedure to predict the time needed for a tower crane hoisting operation. Twenty variables were considered, and the stepwise procedure chose a nine-variable model. The adjusted R2 for the selected model was 0.73. True or false: a) The value 0.73 is a reliable measure of the goodness of fit of the selected model. b) The value 0.73 may exaggerate the goodness of fit of the model. c) A stepwise regression procedure selects only variables that are of some use in predicting the value of the dependent variable. d) It is possible for a variable that is of no use in predicting the value of a dependent variable to be part of a model selected by a stepwise regression procedure.arrow_forwardThe Journal of Engineering in Industry (Aug. 1993) reported on an automated system designed to replace the cutting tool of a drilling machine at optimum times. To test the system, data were collected over a broad range of materials, drill sizes, drill speeds, and feed rates – called machining conditions. Although a total of 168 different machining conditions were possible, only eight were employed in this study. These are described below: Experiment Workpiece Drill Size (in.) 25 25 Drill Speed (грт) 1250 1800 Feed Rate Material (ipr) .011 .005 1 Cast Iron Cast Iron Steel Steel 25 25 3750 2500 .003 .003 .008 4 Steel 25 .125 .125 2500 Steel Steel 4000 4000 3000 .0065 .009 .010 Steel .125 a. Suppose one (and only one) of the 168 possible machining conditions will detect a flaw in the system. What is the probability that the experiment conducted in the study will detect the system flaw? b. Suppose the system flaw occurs when drilling steel material with a 25-inch drill size at a speed of…arrow_forwardA study was carried out to compare the writing lifetimes of four premium brands of pens. It was thought that the writing surface might affect life- time, so three different surfaces were randomly se- tected. A writing machine was used to ensure that conditions were otherwise homogeneous (e.g., con- stant pressure and a fixed angle). The accompany- ing table shows the two lifetimes (min) obtained for each brand-surface combination. In addition, EEEr = 11,499,492 and EExj, = 22,982,552, Writing Surface 1 2 3 1 709, 659 713, 726 660, 643 Brand 2 668, 685 722, 740 692, 720 of Pen 3 659, 685 666, 684 678, 750 4 698, 650 704, 666 686, 733 4112 4227 4122 4137 5413 5621 5564 16,598 Carry out an appropriate ANOVA, and state your conclusions.arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman