Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 4, Problem 4.24P
A sampling of 409 motor shafts from a very large production batch shows a sample standard deviation in diameter of 0.021 mm with a sample mean of 9.251 mm. Estimate the mean diameter of the entire batch at a 95% level of confidence?
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The endurance limit for a material is found by rotating beam specimen test to be S,' = 52 kpsi. Using a reliability estimate of 99.9 percent, estimate the endurance limit if the material is to be placed in reversed axial loading.
Table 6-4 Reliability Factors k, Corresponding to 8 Percent Standard
Deviation of the Endurance Limit
Reliability, %
Transformation Variate z.
Reliability Factor k,
50
1.000
90
1.288
0.897
95
1.645
0.868
99
2.326
0.814
99.9
3.091
0.753
99.99
3.719
0.702
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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...
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