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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

4.1. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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
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