Rejection Region Method

mecha

Part 1 1. In a study of ground motion caused by earthquakes, the velocity (in m/s) and the acceleration (in) were recorded for five earthquakes. The results are presented in the following table and compute the variance and standard deviation of the acceleration of these samples and explain their meaning. Velocity 1.54 1.60 0.95 Acceleration 5.64 6.04 6.04 1.3 2.92 4.37 3.00

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 mm mm 107.800 51.308 119,400 51.562 128,300 51.816 149,700| 52.832 50.800 50.825 12,700 25.400 50.851 38,100 50.876 50,800 76,200 89,100 92,700 102,500 51.181 124,700 56.642 50.902 50.952 159,000 53.848 160,400| 54.356 159,500 54.864 51.054 151,500 55.880 51.003 using the data above plot the stress-strain diagram and determine the following mechanical properties Q1 The proportional limit Q 2 The modulus of elasticity Q 3 yield point Q5 The Últimate Tensile Strength Q 4 yield strength at 0.2% offset Q 6 rupture strength

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7. Repeat the experiment using a second and third rod of different material. Data Table: T; °C Lo m Aluminum 0.30 Material AL m T; °C AT °C 5.44 x 10-4 24.6 100.2 0.29 4.21 x 10-4 23.5 99.9 Brass 0.30 3.83 х 104 25.0 100 Copper Data Analysis Table Experimental a Accepted a /°C 24 x 10-6 Material Error % Aluminum 19 х 106 Brass 17x 10-6 Сopper

An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in the sample average of 1510 hours. Assume the significance level of 0.05. (a) Test the hypothesis HO:µ=1500 versus H1:µ#1500using ap-value. (10pts) (b) Calculate the power of the test if the true mean lifetime is 1510. (10pts)

From the data find the Young’s modulus in GPa

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

Sample Paychrometrie Chart (Use the Chart from the Weather ToolKit 6.0 WET BULB (WB) TEMPERATURE 5.5 35 5.0 作30 4.5 300 4.0 25 HMIDI 3.5 20 3.0 2.5 15 20 68% 2.0 S0% 1.5 10 (kPa) 100 1.0 20% 0.5 10% 0.0 -10-5 0 5 10 15 20 25 30 35 40 DRY BULB TEMPERATURE (Celsius) At a temperature of 25 °C what is the mixing ratio if the relative humidity is E Work from the printed chart from the Tools folder O a) 12.5 g/kg Ob) 16.5 g/kg O) 18.5 g/kg O d) 20 g/kg O e) 22.5 g/kg VAPOUR URE

Hello, I have this practice assignment and I was wondering if someone could look it over and see if there are any errors and help fill in blanks? Thank you

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.

Life tests performed on a sample of 13 batteries of a new model indicated: (1) an average life of 75 months, and (2) a standard deviation of 5 months. Other battery models, produced by similar processes, have normally distributed life spans. The 98% confidence interval for the population mean life of the new model is A. 71.28 to 78.72 B) 71.77 to 78.72 61.60 to 88.41 D. 63.37 to 86.63

2. The results from a settling column test performed on a municipal sewage from a certain town were as presented below. The experiments were conducted on a sample of sewage which is sieved through a 1.2 mm mesh to remove gross solids that would block valves. 501 of the sample weighed 1.352 gm. After drying. Sampling Time (min.) 0 60 180 360 Experimental results for amount of SS remaining in the sample (mg/l) Sampling depth (cm) 100 230 150 118 90 200 230 150 143 115 300 230 159 147 134 400 230 157 152 145 The sewage treatment work incorporates two primary settlement tanks each of a diameter of 25 m. The sewage flow to the tanks is 0.3 m³/s. Find the percentage expected SS removal at the works.

2. Consider the voltmeter calibration data in Table 1. Plot the data using a suitable scale. a) Specify the percent maximum hysteresis based on full-scale range. b) Referring to increasing input calibration, determined the sensitivity and linearity errors. Increasing input (mV) Decreasing input (mV) X Y Y 0.0 1.0 0.1 5.0 5.0 1.1 4.0 4.2 2.0 2.1 3.0 3.2 3.0 3.0 2.0 2.2 4.0 4.1 1.0 1.2 5.0 5.0 Table 1: Calibration results 0.0 0.2

Truncation errors are increased as the round-off errors are decreased.Group of answer choices True False Say, you have a thermometer and you are checking the temperature of a body that has a temperature of 36o Using your thermometer five times, it gives you the following measurements: 29oC, 29.2oC, 29.3oC, 28.9oC, and 29.1oC. What can we conclude about the accuracy and the precision of the thermometer?Group of answer choices The thermometer is not accurate and not precise The thermometer is faulty. The thermometer is accurate and precise The thermometer is not accurate but precise. Say, you have a thermometer and you are checking the temperature of a body that has a temperature of 36o Using your thermometer five times, it gives you the following measurements: 36oC, 35.6oC, 36oC, 37oC, and 36.2oC. What can we conclude about the accuracy and the precision of the thermometer?Group of answer choices The thermometer is accurate and precise. The thermometer is accurate but not precise. The…

Calculate the young’s modules in GPa

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

3. The following table shows the daily temperature measurements and numberof defects for the Temperature Day Number of Defects 1 24.2 25 2 22.7 31 3 30.5 36 4 28.6 33 5 25.5 19 32.0 24 7 28.6 27 8 26.5 25 9. 25.3 16 10 26.0 14 11 24.4 22 12 24.8 23 13 20.6 20 14 25.1 25 15-day observation. 15 21.4 25 Compute for the following: a. Mean b. Median C. Variance d. Standard deviation е. Mean deviation

On the drawing attached, before any geometric controls are applied, what is the coaxility tolerance is implied between the diamters?

Record the dimensions of the known (calibration) block using the caliper and dial gauge on the table below. Indicate the units of each measurement. Calculate the average length of each side of the block. Dimension Caliper (Units) 0.995 1.455 0.985 Ruler(in) A: 0.9 B: 1.5 C: 0.9 A B C Dimension A B Instrument Use the average dimensions (see Problem 2a) of the known block to calibrate the LVDT at your workstation. Record the voltage on the table below: LVDT Offset: 0.556 (Do not include the offset value in your average dimensions) C Ave Dimension (Units) (Dial Gauge) 0.997 1.659 0.949 0.964 in 1.538 in 0.945 in oltage Average Dimension 1.244 volt 1.994 1.28 0.964 in 1.538 in 0.945 in

The network diagram for a project is shown in the accompanying figure, with three timeestimates for each activity. Activity times are in weeks. Do the following:a. Compute the expected time for each activity and the expected duration for each path.b. Identify the critical path.c. Compute the variance of each activity and the variance and standard deviation of eachpath.

Problem 1. Find the mean, median, standard deviation and interquartile range of the following data. 6282148475618598425

C. A sample of ages and weights of five women members of an aerobics class showed their weights and ages. in years to their nearest birthday: 24 Age Weight 22 18 26 20 115 159 141 137 130 ;Weight: ;Weight: ; Weight: Age: 1. Find the mean of 2. Find the standard deviation of 3. Find the coefficient of variation of 4. Which set of data is relatively more variable? Age: Age: 5. Why?

II Question 2 A process instrument reading Z (volts) is thought to be related to a process stream flow rate V (L/s) and pressure P (kPa) by the expression: Z = aVÞp°. Using the three data points shown in the table above, calculate the constants a, b and c and indicate their units. In this particular case there is no regression to be performed, but only 3 equations in 3 unknowns to solve. 1 1.02 V (L/s) P (kPa) z (volts) 1.20 1.75 11.2 10.2 9.1 2.58 3.72 3.50 ere to search 12

Plot the graph of the charpy impact test

Do not provide handwritten solution,Maintain accuracy and quality in your answer,Take care of plagiarism,Answer completely,You will get up vote for sure.

Fill in the blanks: On a particular day a random sample of 12 tins of peas is taken from the output of a canning factory and their contents are weighed. The mean and standard deviation of the weight for the sample are 301.8 gm and 1.8 gm respectively. Find 99% confidence limits for the mean weight of peas in tins produced by the factory on the day in question. use 3 decimal places E = Lower limit? Upper limit?

Essay: Please answer the following questions: 1. Differentiate probability sampling from non-probability sampling. 2. Illustrate the application of the following probability techniques: a. Systematic Random Sampling b. Stratified Random Sampling c. Random Sampling 3. Why do researchers prefer the use of probability techniques? Simple