Please answer within 30min thanks. The tensile strength of a synthetic fiber used to make cloth for men's shirts isof interest to a manufacturer. It is suspected that the strength is affected bythe percentage of cotton in the fiber. Five levels of cotton percentage areconsidered: 15%, 20%, 25%, 30% and 35%. For each percentage of cotton inthe fiber, strength measurements (time to break when subject to a stress) aremade on five pieces of fiber.The "tensile strength of synthetic fiber" isa response variableO a factora treatmentO an experimental unit

The tensile strength of synthetic fiber is "a response variable". Answer : Response variable

Answered: The tensile strength of a synthetic…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
A manufacturer of paper used for making grocery bags is interested in improving the tensile strength of the product. Product engineering thinks that tensile strength is a function of the hard-wood concentration in the pulp and that the range of hardwood concentrations of practical interest is between 5 and 20%. A team of engineers responsible for the study decides to investigate four levels of hardwood concentration: 5%, 10%, 15%, and 20%. They decide to make up six test specimens at each concentration level, using a pilot plant. Using the data given below: a. Complete the ANOVA table. b. At 0.05 significance level, test whether there is a difference in mean tensile strength based on Hardwood Concentration.
The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.
A worker with a weight of 65 kg and a body surface area of 1.74 , performs physical work activities in several work environments as shown in the following table. The work activities of these workers require energy and a measured metabolic rate of 400 W/m2. During their work activities, the worker wears a coverall made of polyolefin and wears a headgear (1) Calculate the average WBGT of the work environment. (2) Perform an analysis related to the heat stress experienced by the worker, if the worker performs his work activities for 75% of his total working time and the rest is rest, (note: use TLV from ACGIH and ISO 7243)
River Hills Hospital is interested in determining the effectiveness of a new drug for reducing the time required for complete recovery from knee surgery. Complete recovery is measured by a series of strength tests that compare the treated knee with the untreated knee. The drug was given in varying amounts to 18 patients over a 6-month period. For each patient the number of drug units, X, and the days for complete recovery, Y, are given by the following (x, y) data:(5, 53) (21, 65) (14, 48) (11, 66) (9, 46) (4, 56)(7, 53) (21, 57) (17, 49) (14, 66) (9, 54) (7, 56)(9, 53) (21, 52) (13, 49) (14, 56) (9, 59) (4, 56)a. Compute the covariance.b. Compute the correlation coefficient.c. Briefly discuss the relationship between the number of drug units and the recovery time. What dosage might we recommend based on this initial analysis?
The "spring-like effect" in a golf club could be determined by measuring the coefficient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow: Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871 Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476 Test the hypothesis that both brands of ball have equal mean overall distance. Use α = 0.05 and assume equal variances. Question: Reject H0 if t0 < ___ or if t0 > ___.
The compressive strength of an alloy fastener used in aircraft construction is being studied. Ten loads were selected over the range 2500–4300 psi, and a number of fasteners were tested at those loads. The numbers of fasteners failing at each load were recorded. The complete test data are shown in Table E11-14.
One effect of the pesticide DDT upon birds is to inhibit the production of the enzyme carbonic anhydrase, which controls calcium metabolism. It is believed that this causes eggshells to be thinner and weaker than normal and makes the eggs more prone to breakage. An experiment was conducted where 16 sparrow hawks were fed a mixture of 3 ppm dieldrin and 15 ppm DDT (a combination often found in contaminated prey). The first egg laid by each bird was measured, and the mean shell thickness was found to be 0.19 mm. A “normal” eggshell has a mean thickness of 0.2 mm. What are the null and alternative hypotheses?
An android phone manufacturer produces a new product variant of a smartphone which they claim as indestructible despite being dropped. They are claiming that the tensile strength of the newly produced smartphone is greater than twenty-five. Meanwhile, the quality assurance scientists and technicians conducted another test to assure the quality of the new smartphone variant. They can only test fourteen samples a day due to lack of manpower, so it was done in two batches. After twenty-eight days, the following tensile strengths were obtained from the two sample batches: 1st batch 2nd batch 25.3 25.4 24 24.6 24.1 24.3 24.6 25.8 25.6 25.9 26 26.1 25.2 25.4 25.4 25.3 25 25.1 26.7 26.3 26.2 26.1 24.9 24.8 25.7 24.9 26.8 25 1. Do the tensile strengths of the two batches has a significant difference? 2. Compute the value of P and verify if the smartphone company's claim is legitimate 3. If the confidence interval is ninety-five percent, establish the tensile…
Before taking the plunge into videoconferencing, a company ran tests of its current internal computer network. The goal of the tests was to measure how rapidly data moved through the network given the current demand on the network. Twenty files ranging in size from 20 to 100 megabytes (MB) were transmitted over the network at various times of day, and the time to send the files (in seconds) recorded. File Size (MB) Transfer Time (sec) 67 24.3 59 20.8 61 31.4 75 31.3 22 8.8 22 15.5 34 20.5 49 17.7 65 33.4 22 20.1 29 18.7 99 41.9 56 28.9 61 31.2 96…
Your company manufactures plastic wrap for food storage. The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification. If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance. Roll 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 134 131 129 133 135 131 134 130 131 136 129 130 133 130 133 a)What is the mean tear resistance? Enter your answer to the correct number of significant figures. b)What is the…
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. Units made with aluminum wire have a defect rate of 10%. A redesigned manufacturing process, involving the use of gold wire, is being investigated. The goal is to reduce the rate of defects to 5% or less. Out of the first 100 units manufactured with gold wire, only 4 are defective. True or false: a) Since only 4% of the 100 units were defective, we can conclude that the goal has been reached. b) Although the sample percentage is under 5%, this may represent sampling variation, so the goal may not yet be reached. c) There is no use in testing the new process, because no matter what the result is, it could just be due to sampling variation. d) If we sample a large enough number of units, and if the percentage of defective units is far enough below 5%, then it is reasonable to conclude that the goal has been reached.

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