A random sample size, n, is to be taken f large population having a standard deviat 1". The sample size is to be determined there will be a .05 risk probability of exce a 0.1" tolerance error in using the sample- to estimate u. Which of the following val nearest the required sample size?
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
![4.1. A random sample size, n, is to be taken from a 4.6.
large population having a standard deviation of
1". The sample size is to be determined so that
there will be a .05 risk probability of exceeding
a 0.1" tolerance error in using the sample mean
to estimate u. Which of the following values is
nearest the required sample size?
4.3.
a. 42
b. 106
4.2. Assume that equipment A has a mean life of 100
hours and an exponential distribution of times
to failure. Another system, equipment B has a
normal distribution of times to failure with a
mean of 100 hours and a standard deviation of
40 hours. If one or more of the systems is to be
used for a 10 hour mission and the probability
of non-failure during the mission must be
estimated for each system, one will find that:
4.4.
c. 203
d. 384
a. Equipment A has a higher probability of
success
b. Equipment B has a higher probability of
success
c. Equipment A and B have the same.
probability of success
d. Insufficient information exists to answer this
question
If the probability that a train will arrive early at a
station is 0.23 and the probability that the train
will arrive late at the station is 0.18, what is the
probability that the train will arrive either early
or late?
a. 0.0414
b. 0.05
c. 0.41
d. 0.59
If a new car has, on average, 25 minor defects,
what is the probability that the next new car will
contain exactly 25 minor defects?
a. 50%
b. 25%
c. 10%
d. 8%
4.5 The variations which the normal distribution
curve describes are due to:
a. Nonassignable causes.
b. Catastrophic failure
c. Assignable causes
d. Degradation failures
4.7. Given:
4.8.
a. Mann-Whitney
b. Kruskal-Wallis
c. Mood's median
d. One-way ANOVA
4.9.
Which of the following tests assume some
knowledge of a known distribution?
Then for x = 0, 1, 2, ... f(x) is:
f(x) =
e-5 5x
X!
a. An exponential pdf
b. A Poisson pdf
c. An exponential cdf
d. A Poisson cdf
a. e
b. -12.5A
C. 13A
d.
Page
The hazard-rate function, h(t), for a device is
given by:
Dift <0
h(t)-Alf Osts 1
At if 1 <1 ≤ 5
The correct expression for R(t) =>
1
For the Weibull distribution, as the scale
parameter decreases:
MacBook Air
a. The Weibull is equivalent to the exponential
b. The location parameter approaches zero
c. The probability density function stretches to
the right
d. The probability density function
compressed to the left
is
4.10. When finding a confidence interval for mean p,
based on a sample size of n:
a. Increasing n increases the interval
b. Having to use Sx instead of n decreases the
interval
c. The larger the interval, the better the
estimate of u
d. Increasing n decreases the interval
> of
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