STATISTICAL 4.11. Which of the following continuous distributions is symmetrical and unskewed over its typical operating range? a. Normal b. Weibull c. Lognormal d. Exponential 4.12. The means of large samples from a population with finite variance tend to be normally distributed around the population mean. This statement is true according to which of the following theorems? a. Central limit b. Camp-Meidel c. Tchebysheff's d. Least squares 4.13. If f(t), R(t), and h(t) denote the failure time density function, reliability function, and hazard- rate function of a device, which one of the following expressions is true? a. R(t)=exp[-h(s)ds] dt b. h(t)=-(hR(t)] C. f(t)=h(t) R(1) d. h(t)= R(s)ds 4.14. A new refrigerator has a probability of working correctly when it is first plugged in of 0.985. The probability that it will be delivered to the person's home with no dents is 0.947. What is the probability that it will arrive with no damage, and will work the first time? a. 0.932 b. 0.933 c. 0.985 d. 0.999 4.15. A process is in control at X-double bar = 100, R- bar = 7.3 with n = 4. If the process level shifts to 101.5, with the same R-bar, what is the probability that the next X-bar point will fall outside the old control limits? 4.16. 4.17. 4.18. A certain equipment has a MTBF of m = 300 hours. Assuming an exponential distribution of time to failure, what is the maximum time of allowable operation if a reliability of 0.999 is required? a. 30 hours b. 0.3 hours c. 300 hours d. 0.003 hours Which principle underlies the effectiveness of reliability control charting? a. The samples are randomly selected b. The samples are heterogeneous c. The process shows design immaturity d. For reliability applications, the failure rate is erratic A plastics plant operates 8 extruders producing plastic film. Production volume requirements cannot be met if fewer than 6 extruders are operating. There is a 0.30 probability that a machine stopping malfunction will occur. What is the probability that at least 6 extruders can remain operating throughout the day? a. 0.5783 b. 0.4482 c. 0.5518 d. 0.8059 4.19. The sample size needed for hypothesis testing: a. Depends upon the proportion rate b. Can be determined c. Requires a known censor point d. Indicates that a confidence level and reliability must be provided 4.20. In 1000 trials, independent, with the same probability of failure at each trial, 50 failures were observed. Upper and lower 90% (symmetrical 80%) confidence limits on the reliability are: a. 0.96 -0.94 b. 0.980.92 c. 0.99-0.96 d. 1.00 -0.95

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
Please solve 4.18
CONCEPTS
STATISTICAL
4.11. Which of the following continuous distributions
is symmetrical and unskewed over its typical
operating range?
a. Normal
b. Weibull
c. Lognormal
d. Exponential
4.12. The means of large samples from a population
with finite variance tend to be normally
distributed around the population mean. This
statement is true according to which of the
following theorems?
a. Central limit
b. Camp-Meidel
c. Tchebysheff's
d. Least squares
4.13. If f(t), R(t), and h(t) denote the failure time
density function, reliability function, and hazard-
rate function of a device, which one of the
following expressions is true?
R(t)=exp[-Jh(s)ds]
a.
b. h(t)=-=[hR(t)]
h(t)
c. f(t)= R(1)
d. h(t)= R(s)ds
4.14. A new refrigerator has a probability of working
correctly when it is first plugged in of 0.985.
The probability that it will be delivered to the
person's home with no dents is 0.947. What is
the probability that it will arrive with no damage,
and will work the first time?
a. 0.932
b. 0.933
c. 0.985
d. 0.999
4.15. A process is in control at X-double bar = 100, R--
bar = 7.3 with n = 4. If the process level shifts to
101.5, with the same R-bar, what is the
probability that the next X-bar point will fall
outside the old control limits?
4.16.
4.17.
4.18.
Page < 2
A certain equipment has a MTBF of m = 300
hours. Assuming an exponential distribution of
time to failure, what is the maximum time of
allowable operation if a reliability of 0.999 is
required?
a. 30 hours
b. 0.3 hours
c. 300 hours
d. 0.003 hours
>
Which principle underlies the effectiveness of
reliability control charting?
a. The samples are randomly selected
b. The samples are heterogeneous
c. The process shows design immaturity
d. For reliability applications, the failure rate is
erratic
A plastics plant operates 8 extruders producing
plastic film. Production volume requirements
cannot be met if fewer than 6 extruders are
operating. There is a 0.30 probability that a
machine stopping malfunction will occur. What
is the probability that at least 6 extruders can
remain operating throughout the day?
a. 0.5783
b. 0.4482
c. 0.5518
d. 0.8059
4.19. The sample size needed for hypothesis testing:
a. Depends upon the proportion rate
b. Can be determined
c. Requires a known censor point
d. Indicates that a confidence level and
reliability must be provided
4.20. In 1000 trials, independent, with the same
probability of failure at each trial, 50 failures.
were observed.
Upper and lower 90%
(symmetrical 80%) confidence limits on the
reliability are:
a. 0.96- 0.94
b. 0.980.92
c. 0.99-0.96
d. 1.00 -0.95
of
Transcribed Image Text:CONCEPTS STATISTICAL 4.11. Which of the following continuous distributions is symmetrical and unskewed over its typical operating range? a. Normal b. Weibull c. Lognormal d. Exponential 4.12. The means of large samples from a population with finite variance tend to be normally distributed around the population mean. This statement is true according to which of the following theorems? a. Central limit b. Camp-Meidel c. Tchebysheff's d. Least squares 4.13. If f(t), R(t), and h(t) denote the failure time density function, reliability function, and hazard- rate function of a device, which one of the following expressions is true? R(t)=exp[-Jh(s)ds] a. b. h(t)=-=[hR(t)] h(t) c. f(t)= R(1) d. h(t)= R(s)ds 4.14. A new refrigerator has a probability of working correctly when it is first plugged in of 0.985. The probability that it will be delivered to the person's home with no dents is 0.947. What is the probability that it will arrive with no damage, and will work the first time? a. 0.932 b. 0.933 c. 0.985 d. 0.999 4.15. A process is in control at X-double bar = 100, R-- bar = 7.3 with n = 4. If the process level shifts to 101.5, with the same R-bar, what is the probability that the next X-bar point will fall outside the old control limits? 4.16. 4.17. 4.18. Page < 2 A certain equipment has a MTBF of m = 300 hours. Assuming an exponential distribution of time to failure, what is the maximum time of allowable operation if a reliability of 0.999 is required? a. 30 hours b. 0.3 hours c. 300 hours d. 0.003 hours > Which principle underlies the effectiveness of reliability control charting? a. The samples are randomly selected b. The samples are heterogeneous c. The process shows design immaturity d. For reliability applications, the failure rate is erratic A plastics plant operates 8 extruders producing plastic film. Production volume requirements cannot be met if fewer than 6 extruders are operating. There is a 0.30 probability that a machine stopping malfunction will occur. What is the probability that at least 6 extruders can remain operating throughout the day? a. 0.5783 b. 0.4482 c. 0.5518 d. 0.8059 4.19. The sample size needed for hypothesis testing: a. Depends upon the proportion rate b. Can be determined c. Requires a known censor point d. Indicates that a confidence level and reliability must be provided 4.20. In 1000 trials, independent, with the same probability of failure at each trial, 50 failures. were observed. Upper and lower 90% (symmetrical 80%) confidence limits on the reliability are: a. 0.96- 0.94 b. 0.980.92 c. 0.99-0.96 d. 1.00 -0.95 of
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