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
Videos
Textbook Question
Chapter 4, Problem 4.42P
Based on 51 measurements of a time-dependent electrical signal, the standard deviation is 1.52 V. Find the 95% confidence interval in its true mean value. How many more measurements would be required to provide a 95% confidence interval in the true mean to within ±0.28 V?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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)
Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal
Distribution Function of Excel
Note that the standard normal curve is symmetrical about the mean.
z
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
0.11
0.12
1
0.95
0.96
0.97
0.98
0.99
1.01
1.02
1.03
1.04
1.05
Mean - 0
1.06
1.07
1.08
1.09
A
0.0000
0.0040
0.0080
0.0120
0.0160
0.0199
0.0239
0.0279
0.0319
0.0359
0.0398
0.0438
0.0478
A
0.3186
0.3212
0.3238
0.3264
0.3289
0.3315
0.3340
0.3365
0.3389
Z
0.3413
0.3438
0.3461
0.3485
0.3508
0.3531
0.3554
0.3577
0.3599
0.3621
0.13
0.14
0.15
0.16
0.17
0.18
0.19
0.2
0.21
0.22
0.23
0.24
0.25
1.12
1.13
1.14
1.15
1.16
1.17
A
z
0.0517
0.0557
0.26
0.27
0.28
0.29
0.0596
0.0636
0.0675 0.3
0.0714 0.31
0.0753 0.32
0.0793 0.33
0.0832 0.34
0.0871 0.35
0.0910
0.0948
0.0987
1.18
1.19
1.2
1.21
1.22
1.23
1.24
1.25
1.26
1.27
1.28
A
0.3643
0.3665
0.3686
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.36
0.3830
0.3849
0.3869
0.3888
0.3907
0.3925
0.3944
0.3962
0.3980
0.3997
0.37…
A temperature measurement system has the following specifications:
-128 to 781°C
Range
Linearity error
0.29% FSO
Hysteresis error
0.12% FSO
Sensitivity error
0.04% FSO
Zero drift
0.32% FSO
FSO stands for "Full Scale Output". Estimate the overall instrument
uncertainty for this system based on the available information. Use the
maximum possible output range over the FSO in your computations.
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
- The 7-distribution is used to estimate a population mean for large samples if the population standard deviation is known. "Large" is usually defined as at least 5% of the population size B. at least 142 at least 10 at least 30arrow_forwardAs an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Assume normal distribution. Milliliters of Water in the Bottle Frequency 485 490 milliliters 495 500 505 510 515 What is the mean (in milliliters)? milliliters What is the standard deviation (in milliliters)? What is the z value corresponding to 490 milliliters? Z = 6 12 20 33 18 11 00 8arrow_forwardPressure distribution measurements are made on a two-dimensional wing model placed in a wind tunnel. The difference between the static pressure sockets on the surface and the static pressure of the free stream is measured. 30 data is taken at each measurement point. The average of the values measured from one of the sockets near the trailing edge was calculated as 2.30 Pa, and the standard deviation was calculated as 2.65 Pa. After applying the Chauvenet criterion to these measurement values, it was decided to eliminate 3 measurements and the new mean value was found to be 2.18 Pa and the standard deviation was 2.42. It was verified that the unexcluded data fit the normal distribution curve. Data above how many Pa and below how many Pa were eliminated? Estimate how many data have negative value (?<0) after elimination.arrow_forward
- A process converts lead to gold. However, the production varies due to the power of the alchemist. It is known that the process is normally distributed with a standard deviation of 2.5g. How many samples must be taken to be 90% certain that an estimate of the mean process is within 1.5g of the true but unknown mean yield?arrow_forward3. A consumer product company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation, 6, of 10 millimeters. The company wishes to test the following hypotheses using the results of n=25 samples: Ho: μ = 160, Ηi: μ < 160 The critical region to reject the null hypothesis is X < 155 %3D (a) Find the type I error probability a. (b) Find the probability of type II error if the true mean form height is 159 millimeters.arrow_forwardcompute the 95 confidence intervals for the inventory of a series of 12 replication of the simulation of a system, where the VERAGE INVENtory is 1000 units and sample standard deviation is 38arrow_forward
- The grouped data in Table below represent the number of children from birth through the end of the teenage years in a large apartment complex. Find the variance, and standard deviation for these data: (CLO 2) Class 0–3 4-7 8-11 12-15 16-19 Frequency 7 4 19 12 8arrow_forwardA random sample of 20 students yielded a mean of = 72 and a variance of s2 = 16 for scores on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 98% confidence interval for σ2.arrow_forwardA textile fiber manufacturer is investigating a newdrapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The companywishes to test the hypothesis Ho:u = 12 against H1 :µ < 12, using a random sample of 4 specimens. Round your answers to 4 decimal places. (a) What is the type l error probability if the critical region is defined asa < I1.5 kilograms? The type l error probability is (b) Find ßfor the case where the true mean elongation is 11.28 kilograms. ß = 1 (C) Find ßfor the case where the true mean is 11.5 kilograms. Statistical Tables and Chartsarrow_forward
- A resistor is measured with a device which has a known precision of ±0.075 k2 when a large number of measurements is taken. How many measurements are necessary to ensure that the resistance is within ±0.05 k2 with a 0.1l percent level of significance? Use the t -distribution.arrow_forwardFill 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?arrow_forwardA value has been measured by Instrument A 33 times with a standard deviation of 4.3. Another value has been measured 7 times with Instrument B. Within what range will the standard deviation of the Instrument B observation have to fall to be considered equivalent quality at a 95% confidence level? Hint: Use the F-Distribution.arrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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
What is Metrology in Mechanical Engineering? | Terminologies & Measurement; Author: GaugeHow;https://www.youtube.com/watch?v=_KhMhFRehy8;License: Standard YouTube License, CC-BY