A student measures a quantity many times and calculates his mean as µ = 23 and his standarddeviation as σ = 1.(a) What fraction of his readings would you expect to find between:(i) 22 and 24?(ii) 22.5 and 23.5?(iii) 20 and 25?(iv) 24 and 25?(b) What is the probability that some of his measurements will be less than 20.6?

Since the distribution is not stated, we will apply normal distribution to answer the following…

Answered: A student measures a quantity many…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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3. A strip of chicken skin was excised for mechanical testing in tension. The initial dimension of the rectangular specimen was 30 mm long and 15 mm wide, with average thickness of 3 mm. The mechanical testing was conducted at a rate of 5 mm/sec. The following data were obtained: gauge length, mm 20 22 24.2 26.3 27.9 30.1 force, N 0 0.8 2.7 7.9 12.9 19.6 a. Calculate the engineering stresses and strain from the information given and plot the stress-strain curve. Assume that 5 mm of the specimen length is clamped by the testing grip at each end, such that the initial gauge length of the specimen is 20 mm.
Discuss how you might measure the bulk modulus of a liquid.
A small sample (N = 7) of the static coefficient of friction (µ) between two materials is measured with the following data set: 0.0043 0.0050 0.0053 0.0047 0.0031 0.0051 0.0049 Test the data for outliers. Determine the mean value and its confidence.
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.0 minutes and standard deviation 1.6 minutes. Suppose that arandom sample of n = 46 customers is observed. Find the probability that the average time waiting in line for these customers is (a) Less than 10 minutes (b) Between 5 and 10 minutes (C) Less than 6 minutes Round your answers to four decimal places (eg. 0.9876). (a) The probability is i (b) The probability is i (c) The probability is Statistical Tables and Charts
A tensile test was performed to find the stress-strain curve of a metal sample.Here are the results provided by the tensile testing machine.Suppose the results are free of errors. Elongation, 0 AL (cm) Applied force , F(N) 4.086 5.448 2.724 6.81 1.362 55571.1 61710.1 52930.5 68018.1 39498.3 Additional information : Lo : the length of the extensometer Lo = 5.42 cm A= 5.342 Questions : a) At. Using the 0.2% yield strength method, calculate the tensile strength of the metal sample. b) Find the modulus of resilience of the material under test. c) Calculate the allowable load for an object made of this metal using the parameters following: * Maximum stress: elastic limit Cross section: 10 mm2 Safety factor (or margin): 7 Calculate numerically with a minimum of four decimal places.
Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel Note that the standard normal curve is symmetrical about the mean. z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 1 0.95 0.96 0.97 0.98 0.99 1.01 1.02 1.03 1.04 1.05 Mean - 0 1.06 1.07 1.08 1.09 A 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.0398 0.0438 0.0478 A 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 Z 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 1.12 1.13 1.14 1.15 1.16 1.17 A z 0.0517 0.0557 0.26 0.27 0.28 0.29 0.0596 0.0636 0.0675 0.3 0.0714 0.31 0.0753 0.32 0.0793 0.33 0.0832 0.34 0.0871 0.35 0.0910 0.0948 0.0987 1.18 1.19 1.2 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 A 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.36 0.3830 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.37…
Dr. Brown has built a 94 cm pendulum and pulled the pendulum 25° from vertical and then measured the period of 30 consecutive swings. The data is shown below. How do you interpret the uncertainties involved in this data? Period of Dr. Brown's pendulum Period of swing (s) 1.98 1.978 1.976 1.974 1.972 1.97 1.968 1.966 1.964 0 10 20 Number of swings since release 30 O Some random effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The random uncertainty starts large (approximately 0.03 s) but decreases quickly until it is immeasureably small by the end of the data set. O Some systematic effect lowers the period of the pendulum by about 0.01 s in between the first and last data point. O The systematic uncertainty starts large (approximately 0.01 s) but decreases quickly until it immeasurably small by the end of the data set.
. 2) A following figure and table display creep test data obtained from a uniaxial specimen having an initial gauge length of 2 cm. Calculate the steady-state creep rate. Length |(cm) 2.3 Time | (h) 2.25 2.004 2.2 100 2.010 200 2.020 400 2.030 1000 2000 2.045 2.075 2.1 2.05 4000 2.135 6000 2.193 7000 2.230 1.95 8000 2.300 1000 2000 3000 4000 5000 6000 7000 8000 Time (h) (rupture) | Length between the gauge marks (cm) 2.
A temperature measurement system has the following specifications: -128 to 781°C Range Linearity error 0.29% FSO Hysteresis error 0.12% FSO Sensitivity error 0.04% FSO Zero drift 0.32% FSO FSO stands for "Full Scale Output". Estimate the overall instrument uncertainty for this system based on the available information. Use the maximum possible output range over the FSO in your computations.
The following data were collected from a 10.16 mm-diameter test specimen of polyvinyl chloride (e, = 50.8 mm): Load (kN) AE (mm) Stress (MPa) Strain (mm/mm) O 0.0 O 0.00000 1.334 0.1895 16.45492 0.00373 32.90983 0.00748 2.668 0.38 4.003 0.603 49.37708 0.01187 5.34 0.813 65.869 0.016 6.67 1.168 82.27458 0.023 7.38 1.778 (maximum load) 91.03244 0.035 7.12 2.388 87.82534 0.047 6.316 3.048 (fracture) 77.90798 0.06 After fracture, the total length was 53.086 mm and the diameter was 9.982 mm. Plot the engineering stress strain curve and calculate (a) the 0.2% offset yield strength; (b) the tensile strength; (c) the modulus of elasticity: (d) the % elongation; (e) the % reduction in area; () the engineering stress at fracture
As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume normal distribution. Milliliters of Water in the Bottle Frequency 485 490 milliliters 495 500 505 510 515 What is the mean (in milliliters)? milliliters What is the standard deviation (in milliliters)? What is the z value corresponding to 490 milliliters? Z = 6 12 20 33 18 11 00 8
The following data were recorded during the tensile test of a 12.8 mm diameter stainless steel rod. The gauge length was 50.8 mm. Load Length Load Length N N 50.800 107.800 51.308 50.825 119,400 51.562 128,300| 51.816 149,700 52.832 50.902 159,000 53.848 160,400 54.356 159,500 54.864 151,500 55.880 124,700 56.642 mm mm 12,700 25,400 38,100 50,800 76,200 89,100 92,700 102,500 | 51.181 50.851 50.876 50.952 51.003 51.054

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