Numerical Methods for Engineers
7th Edition
ISBN: 9780077492168
Author: Chapra
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 20, Problem 19P
The shear stresses, in kilopascals (kPa), of nine specimens taken at various depths in a clay stratum are listed below. Estimate the shear stress at a depth of 4.5 m.
Depth, m | 1.9 | 3.1 | 4.2 | 5.1 | 5.8 | 6.9 | 8.1 | 9.3 | 10.0 |
Stress, kPa | 14.4 | 28.7 | 19.2 | 43.1 | 33.5 | 52.7 | 71.8 | 62.2 | 76.6 |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 ⨯ 10−4 psi):
5.7
7.2
7.3
6.2
8.1
6.8
7.0
7.6
6.8
6.5
7.0
6.3
7.9
9.0
8.2
8.7
7.8
9.7
7.4
7.7
9.7
7.8
7.7
11.6
11.5
11.8
10.6
(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
What appears to be a representative strength value?
Do the observations appear to be highly concentrated about the representative value or rather spread out?
highly concentrated around the representative value
spread out with a large range
(b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way?
reasonably symmetric
positive skewness
negative skewness
completely random distribution
(c) Do there appear to be any outlying…
Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 ⨯ 10−4 psi):
5.6
7.2
7.3
6.3
8.1
6.8
7.0
7.6
6.8
6.5
7.0
6.3
7.9
9.0
8.2
8.7
7.8
9.7
7.4
7.7
9.7
7.8
7.7
11.6
11.2
11.8
10.5
(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Answer:
Stems
Leaves
5
6
7
8
9
10
11
What appears to be a representative strength value?Answer:____________ MPaDo the observations appear to be highly concentrated about the representative value or rather spread out?
Answer:
______highly concentrated around the representative value
______spread out with a large range
(b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way?
Answer:
_____reasonably…
The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.25 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.002 in, 0.25+0.002in) What fraction of the shafts produced conform to specifications?
a). 0 b). 0.5 c). 0.9 d). almost 1
Chapter 20 Solutions
Numerical Methods for Engineers
Ch. 20 - 20.1 Perform the same computation as in Sec. 20.1,...Ch. 20 - You perform experiments and determine the...Ch. 20 - 20.3 It is known that the tensile strength of a...Ch. 20 - Prob. 4PCh. 20 - 20.5 The specific volume of a superheated steam is...Ch. 20 - Prob. 6PCh. 20 - In Alzheimers disease, the number of neurons in...Ch. 20 - 20.8 The following data were taken from a stirred...Ch. 20 - Prob. 9PCh. 20 - Concentration data were taken at 15 time points...
Ch. 20 - Prob. 11PCh. 20 - The molecular weight of a polymer can be...Ch. 20 - 20.13 On average, the surface area A of human...Ch. 20 - 20.14 Determine an equation to predict metabolism...Ch. 20 - 20.15 Human blood behaves as a Newtonian fluid...Ch. 20 - 20.16 Soft tissue follows an exponential...Ch. 20 - 20.17 The thickness of the retina changes during...Ch. 20 - 20.18 The data tabulated below were generated from...Ch. 20 - The shear stresses, in kilopascals (kPa), of nine...Ch. 20 - 20.20 A transportation engineering study was...Ch. 20 - The saturation concentration of dissolved oxygen...Ch. 20 - For the data in Table P20.21, use polynomial...Ch. 20 - 20.23 Use multiple linear regression to derive a...Ch. 20 - 20.24 As compared to the models from Probs. 20.22...Ch. 20 - 20.25 In water-resources engineering, the sizing...Ch. 20 - 20.26 The concentration of total phosphorus and...Ch. 20 - 20.27 The vertical stress under the corner of a...Ch. 20 - Three disease-carrying organisms decay...Ch. 20 - 20.29 The mast of a sailboat has a cross-sectional...Ch. 20 - 20.30 Enzymatic reactions are used extensively to...Ch. 20 - 20.31 Environmental engineers dealing with the...Ch. 20 - An environmental engineer has reported the data...Ch. 20 - The following model is frequently used in...Ch. 20 - 20.34 As a member of Engineers Without Borders,...Ch. 20 - 20.35 Perform the same computations as in Sec....Ch. 20 - 20.36 You measure the voltage drop V across a...Ch. 20 - Duplicate the computation for Prob. 20.36, but use...Ch. 20 - The current in a wire is measured with great...Ch. 20 - 20.39 The following data was taken from an...Ch. 20 - It is known that the voltage drop across an...Ch. 20 - Ohms law states that the voltage drop V across an...Ch. 20 - 20.42 Repeat Prob. 20.41 but determine the...Ch. 20 - 20.43 An experiment is performed to determine the...Ch. 20 - Bessel functions often arise in advanced...Ch. 20 - 20.45 The population of a small community on the...Ch. 20 - Based on Table 20.4, use linear and quadratic...Ch. 20 - 20.47 Reproduce Sec. 20.4, but develop an equation...Ch. 20 - 20.48 Dynamic viscosity of water is related to...Ch. 20 - 20.49 Hooke’s law, which holds when a spring is...Ch. 20 - 20.50 Repeat Prob. 20.49 but fit a power curve to...Ch. 20 - The distance required to stop an automobile...Ch. 20 - An experiment is performed to define the...Ch. 20 - The acceleration due to gravity at an altitude y...Ch. 20 - The creep rate is the time rate at which strain...Ch. 20 - 20.55 It is a common practice when examining a...Ch. 20 - The relationship between stress and the shear...Ch. 20 - The velocity u of air flowing past a flat surface...Ch. 20 - 20.58 Andrade’s equation has been proposed as a...Ch. 20 - Develop equations to fit the ideal specific heats...Ch. 20 - 20.60 Temperatures are measured at various points...Ch. 20 - 20.61 The data below were obtained from a creep...
Additional Math Textbook Solutions
Find more solutions based on key concepts
(a) Show that (x) = x2 is an explicit solution to xdydx = 2y on the interval (, ). (b) Show that (x) = ex x is...
Fundamentals of Differential Equations (9th Edition)
Analytic Functions. Find fz=ux,y+ivx,y with u or v as given. Check by the Cauchy Reimann equations for analyti...
Advanced Engineering Mathematics
|4.2| = ?
Basic Technical Mathematics
TRY IT YOURSELF 2
Determine whether each number describes a population parameter or a sample statistic. Explain...
Elementary Statistics: Picturing the World (7th Edition)
(a) If Fx is an antiderivative for fx , then abfxdx= (b) abFxdx= (c) ddxaxftdt=
Calculus Early Transcendentals, Binder Ready Version
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
- We conducted an experiment to see which of the four main roads of our town is the fastest one during rush hour. We gathered the times presented below: Road A Road B Road C Road D 12 9 15 17 13 10 16 18 11 9 17 12 12 13 16 17 12 14 16 19 What is the F ratio produced by an ANOVA? 10.28 11.46 11.02 9.56arrow_forwardThe sides of a rectangle measure 5 ± 1 (cm) and 8 ± 2 (cm). How much is your area worth?Consider the statistical hypothesis to calculate the propagation of errorsarrow_forwardThe number of milliseconds required for a light beam to go from A to B is given below. Find the population standard deviation. 70 70 70 71 71 72 73 68 69 69 69arrow_forward
- The diameter of a metal shaft used in a disk-drive unit is normally distributed with mean 0.2508 in. and std. dev. 0.0005 in. The specification on the shaft have been established as (0.25-0.0015 in, 0.25+0.0015in) What fraction of the shafts produced conform to specifications? a). 0 b). 0.08 c). 0.16 d). 0.92arrow_forwardData was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below. Lengths (mm) Frequency 40 - 49 1 50 - 59 16 60 - 69 71 70 - 79 108 80 - 89 83 90 - 99 18 100 - 109 3 What is the upper class limit for the fourth class?arrow_forwarda. What is the average elastic modulus of nylon when the forces are low? Do not be surprised by the large value. It is even bigger for aluminum and steel. Explain your work. Length (mm) Mass (gm)1171 701176 1701182 2701188 3701194 4701212 6701230 9201245 11701262 14201274 16701283 19201288 2170 b. Identify a practical situation where the failure of Hooke's law and the non-linear response that happened here for nylon would be apparent and have a practical impact in everyday life.arrow_forward
- The following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0 Reference SAS image to answer following questions 1. A. What are the appropriate null and alternative hypotheses for this research question using the appropriate population parameter(s) for SAS output for a t-test? b. Based on the output, which p-value tests the following hypotheses if you want to use a two-sample independent pooled t-test? Provide the specific test statistic and p-value. 2. From the output, what is the estimate of the pooled standard deviation? 3. From the output, what is the standard error for the average difference in…arrow_forwardThe following data are on the dental measurements (distance in mm from the center of the pituitary to the pterygomaxillary fissure of 11 girls and 16 boys, all of whom were 16 years of age. Girls Boys 23.0 31.0 25.5 26.5 26.0 27.5 26.5 27.0 23.5 26.0 22.5 28.5 25.0 26.5 24.0 25.5 21.5 26.0 19.5 31.5 28.0 25.0 28.0 29.5 26.0 30.0 25.0 A. From the output, what is the standard error for the average difference in dental measurements in the population of 16 year old boy and 16 year old girls (assume the population variances are equal) B. From the output, interpret the 95% confidence interval for the true average difference in dental measurementsarrow_forwardThe following values were obtained from the measurements of the value of a resistor: 147.2 Ω, 147.4 Ω, 147.9 Ω, 148.1 Ω, 147.1 Ω, 147.5 Ω, 147.6 Ω, 147.4 Ω, 147.6 Ω, and 147.5 Ω. Calculate (a) the arithmetic mean (b) the average deviation (c) the standard deviation (d) the probable error of the average of the ten readings.arrow_forward
- In 58 specimens of a new aluminum alloy that is developed as a material for the next generation of aircraft, the compressive strength was measured, obtaining the following results: 66.4 67.7 68.0 68.0 69.5 70.4 71.6 72.9 69.0 69.169.2 69.3 69.3 69.5 70.3 71.5 72.7 68.9 69.9 70.070.0 70.1 70.2 70.3 71.3 72.6 68.8 69.8 70.8 70.971.0 71.1 71.2 71.3 72.4 68.6 69.8 70.6 71.8 71.871.9 72.1 72.2 72.3 68.4 69.7 70.6 71.7 73.3 73.574.2 74.5 75.3 68.3 69.6 70.5 71.6 73.1 a. Find a 95% confidence interval for the mean resistance of thealuminium alloy.b. If you want to test Ho:Mu =72 against H1: Mu different from 72 with a significance level of 0.05, what is the probability of a type II error for Mu= 71?arrow_forwardData was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below. Lengths (mm) Frequency 80 - 81 1 82 - 83 16 84 - 85 71 86 - 87 108 88 - 89 83 90 - 91 18 92 - 93 3 What is the upper class limit for the sixth class?upper class limit =arrow_forwardData was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below. Lengths (mm) Frequency 180 - 199 1 200 - 219 16 220 - 239 71 240 - 259 108 260 - 279 83 280 - 299 18 300 - 319 3 What is the class midpoint for the fourth class?class midpoint =arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License