Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4, Problem 4.19P
A professor grades students on a normal curve. For any grade x, based on a course mean and standard deviation developed over years of testing, the following applies:
A : x ><em>x </em>+ 1.60 B :x + 0.4<r <x<x + I.60 C : x - 0.4o < x < x + 0.4o D:x — 1.60 < x < x - 0.4ct F : x < x - 1.60M
How many A, C, and D grades are given per 100 students?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
5. The mean height of Engineering students in a certain university is 164 centimeters
and the standard deviation is 10 centimeters. Assuming the heights are normally
distributed, what percent of the heights is greater than 168 centimeters?
A company makes electrical resistors. The perfect resistor has a value of 400 ohms. A sample of 2000 resistors was tested and found to have a mean of 391.5 ohms and a standard deviation of 22.5 ohms. Assuming a normal distribution:a. How many resistors in the sample will have more than 440 ohms of resistance?b. How many resistors in the sample will have less than 360 ohms of resistance?
note: you can use the frequency distribution table picture I attached.
Exercise 4.4: Seven students measured the length of a rod to be as shown below:
Student No. 1
4
6.
7
Length (cm) 87.5 87.3 87.4 87.6 87.8 87.2 87.1
(a) What is the best estimate for the length of the rod?
(b) What is the sample standard deviation in the length of the rod?
(c) What will be the uncertainty in the length of the rod?
Chapter 4 Solutions
Theory and Design for Mechanical Measurements
Ch. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - At a fixed operating setting, the pressure in a...Ch. 4 - Consider the toss of four coins. There are 24...Ch. 4 - As a game, slide a matchbook across a table,...Ch. 4 - Prob. 4.6PCh. 4 - A student conducts a lab exercise to calculate the...Ch. 4 - From a large database, the Highway Patrol...Ch. 4 - Prob. 4.9PCh. 4 - Prob. 4.10P
Ch. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - From 19 measurements of a pressure controller, the...Ch. 4 - From 19 measurements of a pressure controller, the...Ch. 4 - When the parameters of a population are known, the...Ch. 4 - A professor grades students on a normal curve. For...Ch. 4 - Prob. 4.20PCh. 4 - 4.21 An automotive manufacturer removes the...Ch. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - A sampling of 409 motor shafts from a very large...Ch. 4 - During the course of a motor test, the motor rpm...Ch. 4 - A baich of rivets is tested for shear strength. A...Ch. 4 - Three independent sets of data are collected front...Ch. 4 - Prob. 4.28PCh. 4 - 4.29 An engineer measures the diameter of 20 tubes...Ch. 4 - Prob. 4.30PCh. 4 - For Problems 4.30 through 4.36. itwould be helpful...Ch. 4 - For Problems 4.30 through 4.36. itwould be helpful...Ch. 4 - For Problems 4.30 through 4.36. itwould be helpful...Ch. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - A manufacturer of general aircraft dry vacuum...Ch. 4 - Strength tests made on a batch of cold-drawn steel...Ch. 4 - 4.39 Determine the one-sided 95 th-percentile of...Ch. 4 - 4.40 The manufacturer of an electrical fuse claims...Ch. 4 - How many independent random measurements of a...Ch. 4 - Based on 51 measurements of a time-dependent...Ch. 4 - 4.43 Estimate the probability with which an...Ch. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - 4.48 A cantilever is loaded at its tip. Tip...Ch. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - A transducer is used to indicate the pressure of a...Ch. 4 - An engineer takes water samples from 15 lakes in...Ch. 4 - A random sample of 51 aircraft rivets is taken...Ch. 4 - Prob. 4.54PCh. 4 - Estimate the p-value for N = 16. t = 1.798...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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?arrow_forwardExercise 1 2.1 The following data were recorded during a tensile test of a 14.0-mm-diameter mild steel rod. The gage length was 50.0 mm. Load (N) Elongation (mm) Load (N) Elongation (mm) 46200 1.25 6310 0.010 52400 2.50 12600 0.020 58 500 4.50 18800 0.030 65400 7.50 25100 0.040 69000 12.50 31 300 0.050 67800 15.50 37900 0.060 65000 20.00 40100 0.163 61 500 Fracture 41600 0.433 Plot the stress-strain diagram and determine the following mechanical properties: (a) proportional limit; (b) modulus of elasticity; (e) yield stress; (d) ultimate stress; and (e) nominal rupture stress.arrow_forward1. A sample of 169 is drawn from a certain population. This sample has a mean of 80 and a standard deviation of 10. Find the standard error of the mean.arrow_forward
- Consider the data sample {1264, 1280, 1301, 1300, 1296, 1307, 1275}. Calculate the sample mean. 1.264arrow_forwardDATA A repair workshop finds it is having a problem with a pressure gauge it uses. It decides to have it checked by a specialist firm. The following data was obtained. Reading of Gauge x (bar) 1.0 1.4 1.8 2.2 2.6 3.0 3.4 3.8 Correct reading y(bar) 0.96 1.33 1.75 2.14 2.58 2.97 3.38 3.75 Determine at the 5% level whether there is evidence to indicate a linear relationship between reading of x and correct readings y. Find a 95% confidence interval for β1 Find the correlation coefficient By what percentage is the sum of squares of deviations of y about the mean (SSyy) is reduced by using ŷ rather than y̅ as a predictor ofarrow_forwardLearning Goal: To use fundamental geometric and statics methods to determine the state of plane stress at the point on an element of material that is rotated clockwise through an angle from the in- plane stress representation of the point. The state of in-plane stress at a point on an element of material is shown. Let o, the same point that is rotated through an angle of 0-35 45.0 ksi, o, 19.0 ksi, and Ty 12.0 kai. Use this information to represent the state of stress ofarrow_forward
- 1b. Use linear regression to find the line that fits the data and determine the standard deviation. -1.0 -0.5 0.5 1.0 y -1.00 -0.55 0.00 0.45 1.00arrow_forwardQ1: The data in the following table are the statistics degree of 114 pupils Statistics 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 degree 1- Find 3 6 12 21 17 16 20 18 2- Find S.Darrow_forwardFill in the blanks: A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with mean of 7.6 oz and standard deviation of 0.4 oz. a. Estimate the probability that the machine will overflow an 8-oz cup. ANS: b. Estimate the probability that the machine will not overflow an 8-oz cup. ANS: c. The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served? ANS:arrow_forward
- 1) Graph 1: plot t on the abscissa versus y on the ordinate and (artistically) draw a smooth line through the points. The line need not actually go through each data point. 2) Graph 2: plot t^2 on the abscissa versus y on the ordinate and then perform a linear regression. Remember to plot both the raw data points and the line of best fit (with the two points used to draw it); also show the regression equation and r value on the graph. 3) On graph (1), what does the slope of the line tell you about the velocity of the ball? Be thorough! 4) On graph 2: a) What does the slope of the line tell you about the acceleration of the ball? Be thorough! b) Calculate g from the freefall data and the % error (in comparison to 9.81 m/s^2) using the results from the linear regression calculation. c) What do the values of the y-intercept and correlation coefficient (r) tell you?arrow_forwardTruncation 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…arrow_forwardThe 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 Chartsarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Thermodynamics: Maxwell relations proofs 1 (from ; Author: lseinjr1;https://www.youtube.com/watch?v=MNusZ2C3VFw;License: Standard Youtube License