The derailment of a freight train due to the catastrophic failure of a traction motor armature bearing provided the impetus for a study reported in the article “Locomotive Traction Motor Armature Bearing Life Study” (Lubrication Engr., Aug. 1997: 12–19). A sample of 17 high-mileage traction motors was selected, and the amount of cone penetration (mm/10) was determined both for the pinion bearing and for the commutator armature bearing, resulting in the following data:
Motor | ||||||
1 | 2 | 3 | 4 | 5 | 6 | |
Commutator | 211 | 273 | 305 | 258 | 270 | 209 |
Pinion | 226 | 278 | 259 | 244 | 273 | 236 |
Motor | ||||||
7 | 8 | 9 | 10 | 11 | 12 | |
Commutator | 223 | 288 | 296 | 233 | 262 | 291 |
Pinion | 290 | 287 | 315 | 242 | 288 | 242 |
Motor | ||||||
13 | 14 | 15 | 16 | 17 | ||
Commutator | 278 | 275 | 210 | 272 | 264 | |
Pinion | 278 | 208 | 281 | 274 | 268 |
Calculate an estimate of the population
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Chapter 9 Solutions
Probability and Statistics for Engineering and the Sciences
- An artide in the ACI Materials Joumal (vol. 4, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped ar. Anchxinch cylinder was used, and the number of times this rod was used is the design variable. The resulting compresive strength of the concrete specimen is the response. The data are shown n the followng table. Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Calculate the test statistic fo Input answer up to 2 decimal places. TestStatistict- Blank 1 Blank 1 Add your answerarrow_forwardThe article "Modeling Resilient Modulus and Temperature Correction for Saudi Roads" (H. Wahhab, I. Asi, and R. Ramadhan, Journal of Materials in Civil Engineering, 2001:298– 305) describes a study designed to predict the resilient modulus of pavement from physical properties. The following table presents data for the resilient modulus at 40°Cin10® kPa (y), the surface area of the aggregate in m²/kg (x1), and the softening point of the asphalt in °C (х). y X1 X2 1.48 5.77 60.5 1.70 7.45 74.2 2.03 8.14 67.6 2.86 8.73 70.0 2.43 7.12 64.6 3.06 6.89 65.3 2.44 8.64 66.2 1.29 6.58 64.1 3.53 9.10 68.6 1.04 8.06 58.8 1.88 5.93 63.2 1.90 8.17 62.1 1.76 9.84 68.9 2.82 7.17 72.2 1.00 7.78 54.1 The full quadratic model is y = + P,x, + PzX, + Pz*jXz + Pxx¡ + Bzx; + €. Which submodel of this full model do you believe is most appropriate? Justify your answer by fitting two or more models and comparing the results.arrow_forwardGrip is applied to produce normal surface forces thatcompress the object being gripped. Examples includetwo people shaking hands, or a nurse squeezing apatient’s forearm to stop bleeding. The article“Investigation of Grip Force, Normal Force, ContactArea, Hand Size, and Handle Size for CylindricalHandles” (Human Factors, 2008: 734–744) includedthe following data on grip strength (N) for a sample of 42individuals:16 18 18 26 33 41 54 56 66 68 87 91 9598 106 109 111 118 127 127 135 145 147 149 151 168172 183 189 190 200 210 220 229 230 233 238 244 259294 329 403a. Construct a stem-and-leaf display based on repeatingeach stem value twice, and comment on interestingfeatures.b. Determine the values of the fourths and thefourthspread.c. Construct a boxplot based on the five-number summary,and comment on its features.d. How large or small does an observation have to be toqualify as an outlier? An extreme outlier? Are thereany outliers?e. By how much could the observation 403, currentlythe…arrow_forward
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- PLS ANSWERarrow_forwardPlease show me your solutions and interpretations. Show the completehypothesis-testing procedure.An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp. 59–75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05.arrow_forward.) Find the critical? value(s) and identify the rejection? region(s). C.) Find the standardized test statistic. D.) Decide whether to reject or fail to reject the null hypothesis. E.) Interpret the decision in the context of the original claim.arrow_forward
- In rock blasting, the peak particle velocity (PPV) depends both on the distance from the blast and on the amount of charge. The article "Prediction of Particle Velocity Caused by Blasting for an Infrastructure Excavation Covering Granite Bedrock" (A. Kahriman, Mineral Resources Engineering, 2001:205-218) presents data on PPV, scaled distance (which is equal to the distance divided by the square root of the charge), and the amount of charge. The following table presents the values of PPV, scaled distance, and amount of charge for 15 blasts. Scaled Distance (m/kg0.5) PPV Amount of Charge (mm/s) (kg) 1.4 47.33 4.2 15.7 9.6 92.0 2.54 15.8 40.0 1.14 24.3 48.7 0.889 23.0 95.7 1.65 12.7 67.7 1.4 39.3 13.0 26.8 8.0 70.0 1.02 29.94 13.5 4.57 10.9 41.0 6.6 8.63 108.8 1.02 28.64 27.43 3.94 18.21 59.1 1.4 33.0 11.5 1.4 34.0 175.0 Fit the model In PPV = Bo + B1 In Scaled Distance + B2 In Charge + E. Compute the P- value for testing Ho : B¡ = 0 for Bo. B1, and Bz. b. The article claims that the…arrow_forwardA new design for the braking system on a certain type of car has been proposed. For the current system, the true average braking distance at 40 mph under specified conditions is known to be 120 ft. It is proposed that the new design be implemented only if sample data strongly indicates a reduction in true average braking distance for the new design. (a) Define the parameter of interest. O μ = true average braking distance for the new design O p = true proportion of cars whose braking distances did not reduce O p = true proportion of cars whose braking distances reduced O μ = true average braking distance for the old design State the relevant hypotheses. Ho: μ = 120 H₂: μ = 120 O Ho: p = 120 Ha: p 120 ⒸHo: μ = 120 H₂: μ< 120 O Ho: p = 120 H₂: p = 120 ✔ (b) Suppose braking distance for the new system is normally distributed with = 13. Let X denote the sample average braking distance for a random sample of 36 observations. Which values of X are more contradictory to Ho than 117.2? O x ≥…arrow_forwardAn article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp. 59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures ('C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test the hypotheses Họ: µ=22.5 versus H1: µz 22.5, using a=0.05. Find the P-value.arrow_forward
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