EBK MANUFACTURING PROCESSES FOR ENGINEE
6th Edition
ISBN: 9780134425115
Author: Schmid
Publisher: YUZU
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Chapter 4, Problem 4.65P
To determine
The relation between
The equation for the standard deviation of a continuous curve.
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The design specification on the part is that
the diameter = 45.000 ± 0.150 mm. (a)
What proportion of parts fall outside the
tolerance limits? (b) If the process is
adjusted so that its mean diameter =
45.000 mm and the standard deviation
remains the same, what proportion of parts
fall outside the tolerance limits?
"The temperature of an ice bath is measured numerous times with a digital thermometer. The true temperature of the ice bath is 0.07202C. The sample mean temperature is T = -0.0008C. The sample standard deviation of all the readings is 0.02529C. We assume that the precision errors in the readings are purely random. In the standard engineering format, calculate the tolerance for 95%."
If there are 10 values each equal to 10. Then standard Deviation of these values is
(a) 100
(b) 20
(c) 10
(d) 0
Chapter 4 Solutions
EBK MANUFACTURING PROCESSES FOR ENGINEE
Ch. 4 - Prob. 4.1QCh. 4 - Prob. 4.2QCh. 4 - Prob. 4.3QCh. 4 - Prob. 4.4QCh. 4 - Prob. 4.5QCh. 4 - Prob. 4.6QCh. 4 - Prob. 4.7QCh. 4 - Prob. 4.8QCh. 4 - Prob. 4.9QCh. 4 - Prob. 4.10Q
Ch. 4 - Prob. 4.11QCh. 4 - Prob. 4.12QCh. 4 - Prob. 4.13QCh. 4 - Prob. 4.14QCh. 4 - Prob. 4.15QCh. 4 - Prob. 4.16QCh. 4 - Prob. 4.17QCh. 4 - Prob. 4.18QCh. 4 - Prob. 4.19QCh. 4 - Prob. 4.20QCh. 4 - Prob. 4.21QCh. 4 - Prob. 4.22QCh. 4 - Prob. 4.23QCh. 4 - Prob. 4.24QCh. 4 - Prob. 4.25QCh. 4 - Prob. 4.26QCh. 4 - Prob. 4.27QCh. 4 - Prob. 4.28QCh. 4 - Prob. 4.29QCh. 4 - Prob. 4.30QCh. 4 - Prob. 4.31QCh. 4 - Prob. 4.32QCh. 4 - Prob. 4.33QCh. 4 - Prob. 4.34QCh. 4 - Prob. 4.35QCh. 4 - Prob. 4.36QCh. 4 - Prob. 4.37QCh. 4 - Prob. 4.38QCh. 4 - Prob. 4.39QCh. 4 - Prob. 4.40QCh. 4 - Prob. 4.41QCh. 4 - Prob. 4.42QCh. 4 - Prob. 4.43QCh. 4 - Prob. 4.44QCh. 4 - Prob. 4.45QCh. 4 - Prob. 4.46QCh. 4 - Prob. 4.47QCh. 4 - Prob. 4.48QCh. 4 - Prob. 4.49QCh. 4 - Prob. 4.50QCh. 4 - Prob. 4.51QCh. 4 - Prob. 4.52QCh. 4 - Prob. 4.53QCh. 4 - Prob. 4.54QCh. 4 - Prob. 4.55QCh. 4 - Prob. 4.56QCh. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Prob. 4.59PCh. 4 - Prob. 4.60PCh. 4 - Prob. 4.61PCh. 4 - Prob. 4.62PCh. 4 - Prob. 4.63PCh. 4 - Prob. 4.64PCh. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Prob. 4.71P
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- The length of a iron bar is measured by a number of different observers and the following set of 12measurements are recorded (units mm)302,304,303,305,307,309,310,311,312,301,303,302. Find the values of mean, median, variance andstandard deviation.arrow_forwardA 50 m tape was standardized and found to be 0.0015 m longer at an observed temperature of 31.5°C under a pull of 10 kg. The same tape is used to measure a line found to be 523.61 m at an average temperature of 24.5 °C using a pull 12 kg. What is the correct length of the line?arrow_forwardA random sample of 83 reconstructed clay vessels from the Turquoise Ridge archaeological site indicated the standard deviation of diameters to be approximately 5.5 cm. How many more such clay vessels must be found and reconstructed to be 95% sure that the sample mean of diameters is within 1 cm of the population mean of all such reconstructed clay vessels at this archaeological site?arrow_forward
- 2. A schematic representation of basic size and its deviations are given in Fig. below Calculate the following in each case for a shaft of 50 mm basic size: (a) Upper deviation (b) Lower deviation (c) Tolerance (d) Upper limit size (e) Lower limit size +40 +30 +24 +10 0 0 -7 (a) (b) (C) (d) -20 <-40 (e)arrow_forwardWhat is the 95% confidence interval for each of the three measured parameters?arrow_forward25000 bolts are going to be used to fix a certain structure. The bolts have a mean fatigue life of 10000 days with a standard deviation of 2000 days under heavy dynamic loading conditions.What is the probability that a bolt will fail between 8250 and 12500 days of use?arrow_forward
- "A carpet manufacturing company is comparing the tensile strengths of two different types of synthetic fiber. Synthetic fiber A used in manufacturing carpet has tensile strength that is normally distributed with mean 75 psi and standard deviation 8 psi, and synthetic fiber B has tensile strength that is 75 psi and standard deviation 12 psi. Random sample of nA = 16 and nB = 9 of fiber specimens are selected. Find the probability that the sample mean of fiber specimen A exceeds the sample mean of fiber specimen B by 4."arrow_forwardThe shear modulus. G. of a material can be determined by applying a torque. T, on a cylindrical material specimen and measuring the angular twist, 0. The modulus can then be calculated from: G each measured variable (L. T.t. 0, R) is 3.4%. 3LT 2 Ree where R and Lare the specimen radius and length, respectively. The relative uncertainty in What is the total relative uncertainty in G? (Provide your amwer as a percentage using two decimal places. Do not include the % symbol.) 1226arrow_forwardFigure 1 shows the tensile testing results for different materials. All specimens have an initial diameter of 12 mm and an initial gauge length of 50 mm. 300 250 Low carbon steel Network polymer 200 Crystalline polymer 150 Amorphous polymer 100 50 5 10 15 20 25 30 Strain (%) Figure 1: Stress-strain curve b. Determine the following parameters for each material: • the tensile strength the 0.2% offset yield strength the modulus of elasticity • the ductility Stress (MPa) LOarrow_forward
- Asaparrow_forwardGive a definition for each term: standard deviation, calibration, uncertainty.arrow_forwardThe shear modulus, G, of a material can be determined by applying a torque, T, on a cylindrical material specimen and measuring the angular twist, 0. The modulus can then be calculated from: G the specimen radius and length, respectively, The relative uncertainty in each measured variable (L. T, t. 0. R) is + 3.7% 3LT where R and L are %3D 2 Ree What is the total relative uncertainty in G?arrow_forward
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