Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 9.10, Problem 136E
To determine
Check whether there is sufficient evidence to conclude that the standard deviation of fill volume is less than 0.2 oz.
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You want to obtain a sample to estimate the proportion of a population that possess a particular genetic marker. Based on previous evidence, you believe approximately p∗=11% of the population have the genetic marker. You would like to be 90% confident that your estimate is within 0.5% of the true population proportion. How large of a sample size is required?n = (Wrong: 10,603)
Do not round mid-calculation. However, you may use a critical value accurate to three decimal places.
2. [20] Let {X1,..., Xn} be a random sample from Ber(p), where p = (0, 1). Consider two
estimators of the parameter p:
1
p=X_and_p=
n+2
(x+1).
For each of p and p, find the bias and MSE.
1. [20] The joint PDF of RVs X and Y is given by
xe-(z+y), r>0, y > 0,
fx,y(x, y) =
0,
otherwise.
(a) Find P(0X≤1, 1
Chapter 9 Solutions
Applied Statistics and Probability for Engineers
Ch. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - 9-3. The standard deviation of critical dimension...Ch. 9.1 - 9-4. The mean pull-off force of a connector...Ch. 9.1 - 9-5. A textile fiber manufacturer is investigating...Ch. 9.1 - 9-6. Repeat Exercise 9-5 using a sample size of n...Ch. 9.1 - 9-7. In Exercise 9-5, find the boundary of the...Ch. 9.1 - 9-8. In Exercise 9-5, calculate the probability of...Ch. 9.1 - 9-9. In Exercise 9-5, calculate the P-value if the...Ch. 9.1 - 9-10. The heat evolved in calories per grain of a...
Ch. 9.1 - Prob. 11ECh. 9.1 - 9-12. In Exercise 9-10, find the boundary of the...Ch. 9.1 - Prob. 13ECh. 9.1 - 9-14. In Exercise 9-10, calculate the P-value if...Ch. 9.1 - 9-15. A consumer products company is formulating a...Ch. 9.1 - 9-16. Repeat Exercise 9-15 assuming that the...Ch. 9.1 - 9-17. In Exercise 9-15, find the boundary of the...Ch. 9.1 - 9-18. In Exercise 9-15, calculate the probability...Ch. 9.1 - 9-19. In Exercise 9-15, calculate the P-value if...Ch. 9.1 - 9-20. A manufacturer is interested in the output...Ch. 9.1 - 9-21. Rework Exercise 9-20 when the sample size is...Ch. 9.1 - 9-22. In Exercise 9-20, find the boundary of the...Ch. 9.1 - 9-23. In Exercise 9-20, calculate the P-value if...Ch. 9.1 - 9-24. In Exercise 9-20, calculate the probability...Ch. 9.1 - 9-25. The proportion of adults living in Tempe,...Ch. 9.1 - 9-26. The proportion of residents in Phoenix...Ch. 9.1 - 9-27. A random sample of 500 registered voters in...Ch. 9.1 - 9-28. If we plot the probability of accepting H0:...Ch. 9.1 - 9-29. A quality-control inspector is testing a...Ch. 9.1 - 9-30. In the quality-control example of Exercise...Ch. 9.2 - 9-31. State the null and alternative hypothesis in...Ch. 9.2 - 9-32. A hypothesis will be used to test that a...Ch. 9.2 - Prob. 33ECh. 9.2 - 9-34. A hypothesis will be used to test that a...Ch. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - 9-37. For the hypothesis test H0: µ = 5 against...Ch. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - 9-42. The mean water temperature downstream from...Ch. 9.2 - 9-43. A manufacturer produces crankshafts for an...Ch. 9.2 - Prob. 44ECh. 9.2 - 9-45. The life in hours of a battery is known to...Ch. 9.2 - 9-46. An engineer who is studying the tensile...Ch. 9.2 - 9-47. Supercavitation is a propulsion technology...Ch. 9.2 - 9-48. A bearing used in an automotive application...Ch. 9.2 - Prob. 49ECh. 9.2 - 9-50. Humans are known to have a mean gestation...Ch. 9.2 - 9-51. The bacterial strain Acinetobacter has been...Ch. 9.3 - 9-52. A hypothesis will be used to test that a...Ch. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - 9-62. An article in the ASCE Journal of Energy...Ch. 9.3 - 9-63. A 1992 article in the Journal of the...Ch. 9.3 - 9-64. Cloud seeding has been studied for many...Ch. 9.3 - 9-65. The sodium content of twenty 300-gram boxes...Ch. 9.3 - 9-66. Consider the baseball coefficient of...Ch. 9.3 - Prob. 67ECh. 9.3 - 9-68. Reconsider the data from Medicine and...Ch. 9.3 - 9-69. Reconsider the tire testing experiment...Ch. 9.3 - 9-70. Reconsider the Izod impact test on PVC pipe...Ch. 9.3 - 9-71. Reconsider the television tube brightness...Ch. 9.3 - 9-72. Exercise 6-38 gave data on the heights of...Ch. 9.3 - 9-73. Exercise 6-41 describes testing golf balls...Ch. 9.3 - 9-74. Exercise 6-40 presented data on the...Ch. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9.4 - 9-77. Consider the test of against . What are the...Ch. 9.4 - Prob. 78ECh. 9.4 - Prob. 79ECh. 9.4 - Prob. 80ECh. 9.4 - Prob. 81ECh. 9.4 - Prob. 82ECh. 9.4 - 9-83. The data from Medicine and Science in Sports...Ch. 9.4 - 9-84. The data from Technometrics described in...Ch. 9.4 - Prob. 85ECh. 9.4 - 9-86. Data from an Izod impact test was described...Ch. 9.4 - 9-87. Data for tire life was described in Exercise...Ch. 9.4 - 9-88. If the standard deviation of hole diameter...Ch. 9.4 - 9-89. Recall the sugar content of the syrup in...Ch. 9.5 - 9-90. Consider the following computer output
Test...Ch. 9.5 - Prob. 91ECh. 9.5 - 9-92. Suppose that of 1000 customers surveyed, 850...Ch. 9.5 - Prob. 93ECh. 9.5 - 9-94. A random sample of 300 circuits generated 13...Ch. 9.5 - Prob. 95ECh. 9.5 - 9-96. A manufacturer of interocular lenses will...Ch. 9.5 - 9-97. A researcher claims that at least 10% of all...Ch. 9.5 - 9-98. An article in Fortune (September 21, 1992)...Ch. 9.5 - 9-99. The advertised claim for batteries for cell...Ch. 9.5 - 9-100. A random sample of 500 registered voters in...Ch. 9.5 - 9-101. In a random sample of 85 automobile engine...Ch. 9.5 - 9-102. A computer manufacturer ships laptop...Ch. 9.5 - 9-103. In a random sample of 500 handwritten zip...Ch. 9.5 - 9-104. Construct a 90% confidence interval for the...Ch. 9.5 - 9-105. Construct a 95% lower confidence interval...Ch. 9.7 - 9-106. Consider the following frequency table of...Ch. 9.7 - 9-107. Let X denote the number of flaws observed...Ch. 9.7 - 9-108. The number of calls arriving at a...Ch. 9.7 - 9-109. Consider the following frequency table of...Ch. 9.7 - Prob. 110ECh. 9.7 - 9-111. A group of civil engineering students has...Ch. 9.7 - 9-112. Reconsider Exercise 6-87. The data were the...Ch. 9.8 - 9-113. The Hopkins Forest is a 2600-acre forest...Ch. 9.8 - 9-114. Did survival rate for passengers on the...Ch. 9.8 - 9-115. A company operates four machines in three...Ch. 9.8 - 9-116. Patients in a hospital are classified as...Ch. 9.8 - 9-117. Grades in a statistics course and an...Ch. 9.8 - 9-118. An experiment with artillery shells yields...Ch. 9.8 - 9-119. A study is being made of the failures of an...Ch. 9.8 - Prob. 120ECh. 9.8 - Prob. 121ECh. 9.9 - 9-122. Ten samples were taken from a plating bath...Ch. 9.9 - 9-123. The titanium content in an aircraft-grade...Ch. 9.9 - 9-124. The impurity level (in ppm) is routinely...Ch. 9.9 - 9-125. Consider the margarine fat content data in...Ch. 9.9 - 9-126. Consider the compressive strength data in...Ch. 9.9 - 9-127. An inspector are measured the diameter of a...Ch. 9.9 - 9-128. A new type of tip can be used in a Rockwell...Ch. 9.9 - 9-129. A primer paint can be used on aluminum...Ch. 9.10 - Prob. 130ECh. 9.10 - Prob. 131ECh. 9.10 - 9-132. The mean breaking strength of a ceramic...Ch. 9.10 - Prob. 133ECh. 9.10 - Prob. 134ECh. 9.10 - Prob. 135ECh. 9.10 - Prob. 136ECh. 9.10 - Prob. 137ECh. 9 - Prob. 138SECh. 9 - Prob. 139SECh. 9 - Prob. 140SECh. 9 - Prob. 141SECh. 9 - 9-142. An article in Fire Technology [“An...Ch. 9 - Prob. 143SECh. 9 - 9-144. A manufacturer of semiconductor devices...Ch. 9 - Prob. 145SECh. 9 - Prob. 146SECh. 9 - 9-147. Suppose that in Exercise 9-146. the...Ch. 9 - Prob. 148SECh. 9 - Prob. 149SECh. 9 - Prob. 150SECh. 9 - Prob. 151SECh. 9 - Prob. 152SECh. 9 - Prob. 153SECh. 9 - Prob. 154SECh. 9 - Prob. 155SECh. 9 - 9-156. Consider the spot weld shear strength data...Ch. 9 - Prob. 157SECh. 9 - Prob. 158SECh. 9 - Prob. 159SECh. 9 - Prob. 160SECh. 9 - Prob. 161SECh. 9 - Prob. 162SECh. 9 - Prob. 163SECh. 9 - Prob. 164SECh. 9 - Prob. 165SECh. 9 - Prob. 166SECh. 9 - Prob. 167SECh. 9 - Prob. 168SECh. 9 - Prob. 169SECh. 9 - Prob. 170SECh. 9 - Prob. 171SECh. 9 - Prob. 172SECh. 9 - 9-167. Consider the fatty acid measurements for...Ch. 9 - Prob. 174SECh. 9 - 9-175. Let X1, X2, ..., Xn be a sample from an...
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