Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 7, Problem 66SE
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Chapter 7 Solutions
Applied Statistics and Probability for Engineers
Ch. 7.2 - 7-1. Consider the hospital emergency room data...Ch. 7.2 - 7-2. Consider the compressive strength data in...Ch. 7.2 - 7-3. PVC pipe is manufactured with a mean diameter...Ch. 7.2 - 7-4. Suppose that samples of size n = 25 are...Ch. 7.2 - 7-5. A synthetic fiber used in manufacturing...Ch. 7.2 - 7-6. Consider the synthetic fiber in the previous...Ch. 7.2 - 7-7. The compressive strength of concrete is...Ch. 7.2 - 7-8. Consider the concrete specimens in Exercise...Ch. 7.2 - 7-9. A normal population has mean 100 and variance...Ch. 7.2 - 7-10. Suppose that the random variable X has the...
Ch. 7.2 - 7-11. Suppose that X has a discrete uniform...Ch. 7.2 - 7-12. The amount of time that a customer spends...Ch. 7.2 - 7-13. A random sample of size n1 = 16 is selected...Ch. 7.2 - 7-14. A consumer electronics company is comparing...Ch. 7.2 - 7-15. The elasticity of a polymer is affected by...Ch. 7.2 - 7-16. Scientists at the Hopkins Memorial Forest in...Ch. 7.2 - 7-17. From the data in Exercise 6-21 on the pH of...Ch. 7.2 - 7-18. Researchers in the Hopkins Forest (see...Ch. 7.2 - 7-19. Like hurricanes and earthquakes, geomagnetic...Ch. 7.2 - 7-20. Wayne Collier designed an experiment to...Ch. 7.2 - 7-21. Consider a Weibull distribution with shape...Ch. 7.3 - 7-22. A computer software package calculated some...Ch. 7.3 - 7-23. A computer software package calculated some...Ch. 7.3 - 7-24. Let X1 and X2 be independent random...Ch. 7.3 - 7-25. Suppose that we have a random sample X1,...Ch. 7.3 - 7-26. Suppose we have a random sample of size 2n...Ch. 7.3 - 7-27. Let X1 , X2 ,…, X7 denote a random sample...Ch. 7.3 - 7-28. Suppose that and are unbiased estimators...Ch. 7.3 - 7-29. Suppose that and are estimators of the...Ch. 7.3 - 7-30. Suppose that are estimators of θ. We know...Ch. 7.3 - 7-31. Let three random samples of sizes n1 = 20,...Ch. 7.3 - 7-32. (a) Show that is a biased estimator of...Ch. 7.3 - 7-33. Let X1 ,X2, … ,Xn be a random sample of size...Ch. 7.3 - 7-34. Data on pull-off force (pounds) for...Ch. 7.3 - 7-35. Data on the oxide thickness of semiconductor...Ch. 7.3 - 7-36. Suppose that X is the number of observed...Ch. 7.3 - 7-37. and are the sample mean and sample...Ch. 7.3 - 7-38. Two different plasma etchers in a...Ch. 7.3 - 7-39. Of n1 randomly selected engineering students...Ch. 7.4 - 7-44. Let X be a geometric random variable with...Ch. 7.4 - 7-45. Consider the Poisson distribution with...Ch. 7.4 - 7-46. Let X be a random variable with the...Ch. 7.4 - 7-48. Consider the probability density...Ch. 7.4 - 7-49. Let X1, X2, … Xn be uniformly distributed on...Ch. 7.4 - 7-50. Consider the probability density...Ch. 7.4 - 7-51. The Rayleigh distribution has probability...Ch. 7.4 - 7-52. Let X1, X2, …, Xn be uniformly distributed...Ch. 7.4 - 7-53. Consider the Weibull distribution
(a) Find...Ch. 7.4 - 7-55. Suppose that X is a normal random variable...Ch. 7.4 - 7-56. Suppose that X is a normal random variable...Ch. 7.4 - 7-57. Suppose that X is a Poisson random variable...Ch. 7.4 - 7-58. Suppose that X is a normal random variable...Ch. 7.4 - 7-59. The weight of boxes of candy is a normal...Ch. 7.4 - 7-60. The time between failures of a machine has...Ch. 7 - Prob. 61SECh. 7 - 7-62. Suppose that a random variable is normally...Ch. 7 - Prob. 63SECh. 7 - 7-64. A procurement specialist has purchased 25...Ch. 7 - 7-65. A random sample of 36 observations has been...Ch. 7 - Prob. 66SECh. 7 - Prob. 67SECh. 7 - Prob. 68SECh. 7 - 7-69. A manufacturer of semiconductor devices...Ch. 7 - Prob. 70SECh. 7 - Prob. 71SECh. 7 - Prob. 72SECh. 7 - Prob. 73SECh. 7 - 7-74. You plan to use a rod to lay out a square,...Ch. 7 - Prob. 75SECh. 7 - Prob. 76SECh. 7 - Prob. 77SECh. 7 - Prob. 78SECh. 7 - Prob. 79SECh. 7 - Prob. 80SECh. 7 - Prob. 81SECh. 7 - 7-82. Let X be a random variable with mean μ and...Ch. 7 - Prob. 83SECh. 7 - Prob. 84SE
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- F Make a box plot from the five-number summary: 100, 105, 120, 135, 140. harrow_forward14 Is the standard deviation affected by skewed data? If so, how? foldarrow_forwardFrequency 15 Suppose that your friend believes his gambling partner plays with a loaded die (not fair). He shows you a graph of the outcomes of the games played with this die (see the following figure). Based on this graph, do you agree with this person? Why or why not? 65 Single Die Outcomes: Graph 1 60 55 50 45 40 1 2 3 4 Outcome 55 6arrow_forward
- lie y H 16 The first month's telephone bills for new customers of a certain phone company are shown in the following figure. The histogram showing the bills is misleading, however. Explain why, and suggest a solution. Frequency 140 120 100 80 60 40 20 0 0 20 40 60 80 Telephone Bill ($) 100 120arrow_forward25 ptical rule applies because t Does the empirical rule apply to the data set shown in the following figure? Explain. 2 6 5 Frequency 3 сл 2 1 0 2 4 6 8 00arrow_forward24 Line graphs typically connect the dots that represent the data values over time. If the time increments between the dots are large, explain why the line graph can be somewhat misleading.arrow_forward
- 17 Make a box plot from the five-number summary: 3, 4, 7, 16, 17. 992) waarrow_forward12 10 - 8 6 4 29 0 Interpret the shape, center and spread of the following box plot. brill smo slob.nl bagharrow_forwardSuppose that a driver's test has a mean score of 7 (out of 10 points) and standard deviation 0.5. a. Explain why you can reasonably assume that the data set of the test scores is mound-shaped. b. For the drivers taking this particular test, where should 68 percent of them score? c. Where should 95 percent of them score? d. Where should 99.7 percent of them score? Sarrow_forward
- 13 Can the mean of a data set be higher than most of the values in the set? If so, how? Can the median of a set be higher than most of the values? If so, how? srit to estaarrow_forwardA random variable X takes values 0 and 1 with probabilities q and p, respectively, with q+p=1. find the moment generating function of X and show that all the moments about the origin equal p. (Note- Please include as much detailed solution/steps in the solution to understand, Thank you!)arrow_forward1 (Expected Shortfall) Suppose the price of an asset Pt follows a normal random walk, i.e., Pt = Po+r₁ + ... + rt with r₁, r2,... being IID N(μ, o²). Po+r1+. ⚫ Suppose the VaR of rt is VaRq(rt) at level q, find the VaR of the price in T days, i.e., VaRq(Pt – Pt–T). - • If ESq(rt) = A, find ES₁(Pt – Pt–T).arrow_forward
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