Applied Statistics and Probability for Engineers
Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 7, Problem 72SE
To determine

Show that θ^=n/(lni=1nXi) is the maximum likelihood estimator of θ.

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I just need to know why this is wrong below: What is the test statistic W? W=5 (incorrect) and  What is the p-value of this test? (p-value < 0.001-- incorrect)   Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages pages 127 217 486 132 397 297 396 327 292 256 358 272 What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this?     two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12 Alpha Level 0.001 0.005 0.01 0.025 0.05 0.1 0.2 Critical Value 75 70 68 64 60 56 50 What is the p-value for this test?         p-value < 0.001

Chapter 7 Solutions

Applied Statistics and Probability for Engineers

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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