4.1. A random sample size, n, is to be taken from a 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 p. Which of the following values is nearest the required sample size? a. 42 b. 106 C. 203 d. 384

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
4.1. A random sample size, n, is to be taken from a
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 p. Which of the following values is
nearest the required sample size?
a. 42
b. 106
c. 203
d. 384
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 fallure 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:
4.3.
a. Equipment A has a higher probability of
success
b. Equipment B has a higher probability of
success
4.5
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
4.4. 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?
c. 0.41
d. 0.59
a. 50%
b. 25%
c. 10%
d. 8%
The variations which the normal distribution
curve describes are due to:
a. Nonassignable causes
b. Catastrophic failure
c. Assignable causes
d. Degradation failures
4.6.
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
Page
C. 13A
d. o
The hazard-rate function, h(t), for a device is
given by:
1
Dift <0
h(t) Alf Osts 1
At if 1 <ts 5
The correct expression for R(t) =>
a. e
b. e12.5A
For the Weibull distribution, as the scale
parameter decreases:
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.
compressed to the left
function 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
>
CONCEPTS
Transcribed Image Text:4.1. A random sample size, n, is to be taken from a 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 p. Which of the following values is nearest the required sample size? a. 42 b. 106 c. 203 d. 384 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 fallure 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: 4.3. a. Equipment A has a higher probability of success b. Equipment B has a higher probability of success 4.5 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 4.4. 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? c. 0.41 d. 0.59 a. 50% b. 25% c. 10% d. 8% The variations which the normal distribution curve describes are due to: a. Nonassignable causes b. Catastrophic failure c. Assignable causes d. Degradation failures 4.6. 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 Page C. 13A d. o The hazard-rate function, h(t), for a device is given by: 1 Dift <0 h(t) Alf Osts 1 At if 1 <ts 5 The correct expression for R(t) => a. e b. e12.5A For the Weibull distribution, as the scale parameter decreases: 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. compressed to the left function 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 > CONCEPTS
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman