Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3.4, Problem 26E
Refer to Exercise 14. Assume that l = 10.0 cm ± 0.5% and d = 10.4 cm ± 0.5%.
- a. Estimate R, and find the relative uncertainty in the estimate. Does the relative uncertainty depend on k?
- b. Assume that either l or d can be remeasured with relative uncertainty 0.2%. Which should be remeasured to provide the greater improvement in the relative uncertainty of the resistance?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Refer to Exercise 7. Assume that p = 4.3 ± 0.1 cm and q = 2.1 ± 0.2 cm. Estimate f, and find the relative uncertainty in the estimate.
Find mZG.
I
5/3
mZG =
Submit
%
W
Identify if the quantity reported is a Parameter or a Statistic:
1. After taking the first exam, 15 of Prof. Kish's students dropped the class.
2. A sample of 120 employees of a company is selected, and the average age is found to be 37 years.
3. The average length of 15 bolts taken from a lot of 50 is 3.05 cm.
4. After interviewing all of John’s employees, a researcher found that theaverage time the workers report late for work is 30 minutes.
5. A consumer magazine reports the air quality as quantified by the degree of staleness measured from 175 of 1000 domestic flights.
6. The average amount of time spent in a day by Mr. John’s students in their online classes is 4 hrs. and 25 minutes.
7. The annual family income of a sample of 210 families of a small town isPhp327,530.8. The number of defective items taken from a randomly selected batch in a production process is 3.
9. The average number of online purchases made in a month by SLU teaching employees is 3.5.
10. The average number of…
Chapter 3 Solutions
Statistics for Engineers and Scientists
Ch. 3.1 - The boiling point of water is measured four times....Ch. 3.1 - Two thermometers are calibrated by measuring the...Ch. 3.1 - The weight of an object is given as 67.2 0.3 g....Ch. 3.1 - Prob. 4ECh. 3.1 - A person stands on a bathroom scale. The reading...Ch. 3.1 - A person gets on and off a bathroom scale four...Ch. 3.1 - In a hypothetical scenario, the National Institute...Ch. 3.1 - Prob. 8ECh. 3.1 - A new and unknown weight is weighed on the same...Ch. 3.1 - Prob. 10E
Ch. 3.1 - The length of a rod was measured eight times. The...Ch. 3.2 - Assume that X and Y are independent measurements...Ch. 3.2 - The length of a rod is to be measured by a process...Ch. 3.2 - The volume of a cone is given by V = r2h/3, where...Ch. 3.2 - In the article The Worlds Longest Continued Series...Ch. 3.2 - A cylindrical hole is bored through a steel block,...Ch. 3.2 - A force of F = 2.2 0.1 N is applied to a block...Ch. 3.2 - The period T of a simple pendulum is given by...Ch. 3.2 - The specific gravity of a substance is given by G...Ch. 3.2 - Prob. 10ECh. 3.2 - According to Newtons law of cooling, the...Ch. 3.2 - Prob. 12ECh. 3.2 - Nine independent measurements are made of the...Ch. 3.2 - A certain scale has an uncertainty of 3 g and a...Ch. 3.2 - The volume of a rock is measured by placing the...Ch. 3.2 - A student measures the spring constant k of a...Ch. 3.2 - A certain chemical process is run 10 times at a...Ch. 3.2 - An object is weighed four times, and the results,...Ch. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.3 - Find the uncertainty in Y, given that X = 2.0 0.3...Ch. 3.3 - Given that X and Y are related by the given...Ch. 3.3 - The volume of a cone is given by V = r2h/3, where...Ch. 3.3 - Prob. 4ECh. 3.3 - The period T of a simple pendulum is given by...Ch. 3.3 - The change in temperature of an iron bar brought...Ch. 3.3 - The friction velocity F of water flowing through a...Ch. 3.3 - The refractive index n of a piece of glass is...Ch. 3.3 - The density of a rock will be measured by placing...Ch. 3.3 - The conversion of ammonium cyanide to urea is a...Ch. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - The acceleration g due to gravity is estimated by...Ch. 3.3 - Refer to Exercise 4. Assume that T = 298.4 0.2 K....Ch. 3.3 - Refer to Exercise 5. a. Assume g = 9.80 m/s2...Ch. 3.3 - Refer to Exercise 6. Assume that c = 448 J/kgC and...Ch. 3.3 - Prob. 17ECh. 3.3 - Refer to Exercise 8. Assume the critical angle is...Ch. 3.3 - Refer to Exercise 9. Assume that the mass of the...Ch. 3.3 - Prob. 20ECh. 3.4 - Find the uncertainty in U, assuming that X = 10.0 ...Ch. 3.4 - The volume of a cone is given by V = r2h/3, where...Ch. 3.4 - From a fixed point on the ground, the distance to...Ch. 3.4 - Refer to Exercise 10 in Section 3.2. Assume that ...Ch. 3.4 - When air enters a compressor at pressure P1 and...Ch. 3.4 - One way to measure the water content of a soil is...Ch. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - The Beer-Lambert law relates the absorbance A of a...Ch. 3.4 - In the article Temperature-Dependent Optical...Ch. 3.4 - Refer to Exercise 12 in Section 3.2. Assume that 0...Ch. 3.4 - Prob. 12ECh. 3.4 - Archaeologists studying meat storage methods...Ch. 3.4 - Prob. 14ECh. 3.4 - A cylindrical wire of radius R elongates when...Ch. 3.4 - Prob. 16ECh. 3.4 - Refer to Exercise 16. In an experiment to...Ch. 3.4 - The vertical displacement v of a cracked slurry...Ch. 3.4 - The shape of a bacterium can be approximated by a...Ch. 3.4 - Prob. 20ECh. 3.4 - Refer to Exercise 10 in Section 3.2. Assume that ...Ch. 3.4 - Refer to Exercise 5. Assume that P1 = 15.3 0.2...Ch. 3.4 - Refer to Exercise 7. Assume that p = 4.3 0.1 cm...Ch. 3.4 - Prob. 24ECh. 3.4 - Refer to Exercise 12. Estimate n, and find the...Ch. 3.4 - Refer to Exercise 14. Assume that l = 10.0 cm ...Ch. 3.4 - Prob. 27ECh. 3.4 - Refer to Exercise 16. Assume that T0 = 73.1 0.1F,...Ch. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3 - Prob. 1SECh. 3 - Prob. 2SECh. 3 - Prob. 3SECh. 3 - Prob. 4SECh. 3 - Prob. 5SECh. 3 - Let A and B represent two variants (alleles) of...Ch. 3 - The heating capacity of a calorimeter is known to...Ch. 3 - Sixteen independent measurements were made of the...Ch. 3 - If two gases have molar masses M1 and M2, Grahams...Ch. 3 - A piece of plywood is composed of five layers. The...Ch. 3 - The article Effect of Varying Solids Concentration...Ch. 3 - Prob. 13SECh. 3 - Prob. 14SECh. 3 - Prob. 15SECh. 3 - The mean yield from process A is estimated to be...Ch. 3 - The flow rate of water through a cylindrical pipe...Ch. 3 - Prob. 18SECh. 3 - The decomposition of nitrogen dioxide (NO2) into...Ch. 3 - Prob. 20SECh. 3 - A track has the shape of a square capped on two...Ch. 3 - Prob. 22SECh. 3 - Prob. 23SE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later, the odometer read 22,125, Assume the scale on the odometer is in miles. What is the average speed the car traveled during this trip?arrow_forwardMedical researchers tested a new method of typing blood using low-cost paper. The researchers applied blood drops to the paper and recorded the rate of absorption (called blood wicking). The table gives the wicking lengths (millimeters) for six blood drops, each at a different antibody concentration. Let y = wicking length and x = antibody concentration. Droplet Length Concentration 1 22.50 0.0 2 16.00 0.2 3 13.50 0.4 14.00 0.6 5 13.75 0.8 6 12.50 1.0 (1) Give the equation of the fitted regression model. b1: (Round off to 4 decimal places) bo: (Round off to 4 decimal places) (2) Test the hypothesis that the Bo = 20 versus Bo < 20 using a=0.1. Test Statistic (Round off to 2 decimal places): Conclusion: (Type 'Reject HO' or 'Fail to Reject HO') (3) Construct the ANOVA table to test Bo = 0 versus Bo + 0 using a=0.05. (Show in Solution) (4) Find the coefficient of determination. (Round off to 4 decimal places)arrow_forwardCalcium is essential to tree growth because it promotes the formation of wood and maintains cell walls. In 1990, the concentration of calcium in precipitation in a certain area was 0.15 milligrams per liter (mg/L). A random sample of 10 precipitation dates in 2007 results in the following data table. Complete parts (a) through (c) below. Click the icon to view the data table. (a) State the hypotheses for determining if the mean concentration of calcium precipitation has changed since 1990. Но Ho: 0.15 mg/L H1: 0.15 mg/L i Data Table (b) Construct a 95% confidence interval about the sample mean concentration of calcium precipitation. The lower bound is The upper bound is (Round to four decimal places as needed.) 0.237 0.067 0.224 0.126 0.081 0.131 0.075 0.171 0.314 0.091 (c) Does the sample evidence suggest that calcium concentrations have changed since 1990? Print Done A. Yes, because the confidence interval does not contain 0.15 mg/L. B. Yes, because the confidence interval contains…arrow_forward
- When t calculation = 5,22 and Sb1 = 0,23 what is the value of b1, the estimate of the ß1 parameter?arrow_forwardAn ecologist hypothesizes a relationship between wing span of birds and the width of tree branches they use. The ecologist captured male birds, measured their wing span and other characteristics in millimeters, and then marked and released them. During the ensuing winter, the ecologist repeatedly observed the marked birds as they foraged for food on tree branches. He noted the branch diameter on each occasion, and calculated the average branch diameter for each bird in centimeters. The measurement data are below. What can the ecologist conclude with an a of 0.10? wing span branch diameter 79.3 80.1 80.7 81.5 79.5 80.7 81.1 80.5 80.7 1.02 1.04 1.21 1.15 1.21 1.56 1.39 1.31 1.39 a) What is the appropriate statistic? Select- Compute the statistic selected in a): b) Obtain/compute the appropriate values to make a decision about Ho- Critical Value - ; Test Statistic= Decision: -Select- c) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or…arrow_forward2. Find the absolute error and the percentage relative error in the approximation of p = Tt 22 by p* = # %3Darrow_forward
- when z =\2.5, x = 42.1 ando = 2 %3D determine u = Zarrow_forwardOne of the steps involved in the processing of corn flakes for cereals involves toasting the flakes. The accompanying table contains data for corn flakes thickness in millimeters for four different toasting times in seconds. 11.1.7-T 20 Sec 40 Sec 60 Sec 80 Sec1.4 1.6 1.9 1.10.8 1.7 1.3 0.70.7 0.8 0.6 0.4arrow_forwardFind UV. 10x +5 S, T W 29 8х - 1 UV= -> 1. 21 13 4. E2 Zoom bookmark note highlighter line-reader reset answerarrow_forward
- Q 4: (Using the Q. 3 data) If the cost incurred is OMR 20 Million, what will be the volume of revenue?arrow_forwardAn ecologist hypothesizes that birds with longer wing spans use wider tree branches. The ecologist captured male birds, measured their wing span and other characteristics in millimeters, and then marked and released them. During the ensuing winter, the ecologist repeatedly observed the marked birds as they foraged for food on tree branches. He noted the branch diameter on each occasion, and calculated the average branch diameter for each bird in centimeters. The measurement data are below. What can the ecologist conclude with an α of 0.05 wing span branch diameter 79.380.180.781.579.580.781.180.580.7 1.561.531.391.041.391.021.211.311.21 A) What is the appropriate statistic? Then Compute the statistic B) Compute the appropriate test statistic(s) for H1: ρ > 0 critical value = test statistic= C) Effect Sizearrow_forward(1).Estimate the height of a person who weighs 71 kg and whose BSA is 1.7. Round to the nearest cm. h= cm. (2).Estimate the weight of a person who is 165 cm tall and whose BSA is 2. W= kg .... BSA model wh/3600!arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License