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 4.7, Problem 98E

a.

To determine

Find the approximation probability value for more than 25 chips are defective.

b.

To determine

Find the approximation probability value between 20 and 30 chips are defective.

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4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether there is an association between the behavior of the elderly person (did not stop to talk, did stop to talk) and their likelihood of falling. Below, please state your null and alternative hypotheses, calculate your expected values and write them in the table, compute the test statistic, test the null by comparing your test statistic to the critical value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and provide your conclusions in written form. Make sure to show your work. Did not stop walking to talk Stopped walking to talk Suffered a fall 12 11 Totals 23 Did not suffer a fall | 2 Totals 35 37 14 46 60 T
Question 2 Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples of five parts each are collected, and the compressive strengths (in psi) are shown in Table 2. Table 2: Strength Data for Question 2 Sample Number x1 x2 23 x4 x5 R 1 83.0 2 88.6 78.3 78.8 3 85.7 75.8 84.3 81.2 78.7 75.7 77.0 71.0 84.2 81.0 79.1 7.3 80.2 17.6 75.2 80.4 10.4 4 80.8 74.4 82.5 74.1 75.7 77.5 8.4 5 83.4 78.4 82.6 78.2 78.9 80.3 5.2 File Preview 6 75.3 79.9 87.3 89.7 81.8 82.8 14.5 7 74.5 78.0 80.8 73.4 79.7 77.3 7.4 8 79.2 84.4 81.5 86.0 74.5 81.1 11.4 9 80.5 86.2 76.2 64.1 80.2 81.4 9.9 10 75.7 75.2 71.1 82.1 74.3 75.7 10.9 11 80.0 81.5 78.4 73.8 78.1 78.4 7.7 12 80.6 81.8 79.3 73.8 81.7 79.4 8.0 13 82.7 81.3 79.1 82.0 79.5 80.9 3.6 14 79.2 74.9 78.6 77.7 75.3 77.1 4.3 15 85.5 82.1 82.8 73.4 71.7 79.1 13.8 16 78.8 79.6 80.2 79.1 80.8 79.7 2.0 17 82.1 78.2 18 84.5 76.9 75.5 83.5 81.2 19 79.0 77.8 20 84.5 73.1 78.2 82.1 79.2 81.1 7.6 81.2 84.4 81.6 80.8…
Name: Lab Time: Quiz 7 & 8 (Take Home) - due Wednesday, Feb. 26 Contingency Analysis (Ch. 9) In lab 5, part 3, you will create a mosaic plot and conducted a chi-square contingency test to evaluate whether elderly patients who did not stop walking to talk (vs. those who did stop) were more likely to suffer a fall in the next six months. I have tabulated the data below. Answer the questions below. Please show your calculations on this or a separate sheet. Did not stop walking to talk Stopped walking to talk Totals Suffered a fall Did not suffer a fall Totals 12 11 23 2 35 37 14 14 46 60 Quiz 7: 1. (2 pts) Compute the odds of falling for each group. Compute the odds ratio for those who did not stop walking vs. those who did stop walking. Interpret your result verbally.

Chapter 4 Solutions

Applied Statistics and Probability for Engineers

Ch. 4.2 - 4-11. The probability density function of the...Ch. 4.2 - Prob. 12ECh. 4.2 - 4-13. A test instrument needs to be calibrated...Ch. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.3 - 4-17. Suppose that the cumulative distribution...Ch. 4.3 - 4-18. Suppose that the cumulative distribution...Ch. 4.3 - 4-19. Determine the cumulative distribution...Ch. 4.3 - Prob. 20ECh. 4.3 - 4-21. Determine the cumulative distribution...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - 4-24. Determine the cumulative distribution...Ch. 4.3 - 4-25. Determine the cumulative distribution...Ch. 4.3 - 4-26. The probability density function of the time...Ch. 4.3 - 4-27. The gap width is an important property of a...Ch. 4.3 - Determine the probability density function for...Ch. 4.3 - Determine the probability density function for...Ch. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 33ECh. 4.4 - 4-35. Suppose that f(x) = 0.25 for 0 < x < 4....Ch. 4.4 - 4-36. Suppose that f(x) = 0.125x for 0 < x < 4....Ch. 4.4 - 4-37. Suppose that f(x) = 1.5x2 for −1< x < 1....Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - 4.42 Determine the mean and variance of the random...Ch. 4.4 - Prob. 43ECh. 4.4 - 4-45. Suppose that contamination particle size (in...Ch. 4.4 - 4-46. Suppose that the probability density...Ch. 4.4 - 4-47. The thickness of a conductive coating in...Ch. 4.4 - 4-48. The probability density function of the...Ch. 4.4 - Prob. 49ECh. 4.5 - 4-50. Suppose that X has a continuous uniform...Ch. 4.5 - 4-51. Suppose X has a continuous uniform...Ch. 4.5 - 4-52. The net weight in pounds of a packaged...Ch. 4.5 - 4-53. The thickness of a flange on an aircraft...Ch. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - 4-56. An adult can lose or gain two pounds of...Ch. 4.5 - 4-57. A show is scheduled to start at 9:00 a.m.,...Ch. 4.5 - 4-58. The volume of a shampoo filled into a...Ch. 4.5 - 4-59. An e-mail message will arrive at a time...Ch. 4.5 - 4-60. Measurement error that is continuous and...Ch. 4.5 - 4-61. A beacon transmits a signal every 10 minutes...Ch. 4.5 - Prob. 62ECh. 4.6 - 4-63. Use Appendix Table III to determine the...Ch. 4.6 - 4-64. Use Appendix Table III to determine the...Ch. 4.6 - 4-65. Assume that Z has a standard normal...Ch. 4.6 - 4-66. Assume that Z has a standard normal...Ch. 4.6 - Prob. 67ECh. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - 4-70. Assume that X is normally distributed with a...Ch. 4.6 - 4-71. The compressive strength of samples of...Ch. 4.6 - 4-72. The time until recharge for a battery in a...Ch. 4.6 - 4-73. An article in Knee Surgery Sports Traumatol...Ch. 4.6 - 4-74. Cholesterol is a fatty substance that is an...Ch. 4.6 - Prob. 75ECh. 4.6 - 4-76. The fill volume of an automated filling...Ch. 4.6 - 4-77. In the previous exercise, suppose that the...Ch. 4.6 - 4-78. A driver’s reaction time to visual stimulus...Ch. 4.6 - 4-79. The speed of a file transfer from a server...Ch. 4.6 - 4-80. In 2002, the average height of a woman aged...Ch. 4.6 - 4-81. In an accelerator center, an experiment...Ch. 4.6 - 4-82. The demand for water use in Phoenix in 2003...Ch. 4.6 - Prob. 83ECh. 4.6 - 4-84. The diameter of the dot produced by a...Ch. 4.6 - Prob. 85ECh. 4.6 - Prob. 86ECh. 4.6 - Prob. 87ECh. 4.6 - 4-88. A study by Bechtel et al., 2009, described...Ch. 4.6 - 4-89. An article in Atmospheric Chemistry and...Ch. 4.6 - 4-90. The length of stay at a specific emergency...Ch. 4.6 - Prob. 91ECh. 4.6 - 4-92. An article in Microelectronics Reliability...Ch. 4.6 - Prob. 93ECh. 4.6 - 4-94. An article in the Journal of Cardiovascular...Ch. 4.7 - 4-95. Suppose that X is a binomial random variable...Ch. 4.7 - 4-96. Suppose that X is a Poisson random variable...Ch. 4.7 - 4-97. Suppose that X has a Poisson distribution...Ch. 4.7 - 4-98. The manufacturing of semiconductor chips...Ch. 4.7 - 4-99. There were 49.7 million people with some...Ch. 4.7 - 4-100. Phoenix water is provided to approximately...Ch. 4.7 - 4-101. An electronic office product contains 5000...Ch. 4.7 - 4-102. A corporate Web site contains errors on 50...Ch. 4.7 - 4-103. Suppose that the number of asbestos...Ch. 4.7 - 4-104. A high-volume printer produces minor...Ch. 4.7 - 4-105. Hits to a high-volume Web site are assumed...Ch. 4.7 - 4-106. An acticle in Biometrics [“Integrative...Ch. 4.7 - 4-107. An article in Atmospheric Chemistry and...Ch. 4.7 - 4-108. A set of 200 independent patients take...Ch. 4.7 - Prob. 109ECh. 4.7 - 4-110. Cabs pass your workplace according to a...Ch. 4.7 - 4-111. The number of (large) inclusions in cast...Ch. 4.8 - 4-112. Suppose that X has an exponential...Ch. 4.8 - Prob. 113ECh. 4.8 - 4-114. Suppose that X has an exponential...Ch. 4.8 - 4-115. Suppose that the counts recorded by a...Ch. 4.8 - 4-116. Suppose that the log-ons to a computer...Ch. 4.8 - 4-117. The time between calls to a plumbing supply...Ch. 4.8 - 4-118. The life of automobile voltage regulators...Ch. 4.8 - 4-119. Suppose that the time to failure (in hours)...Ch. 4.8 - 4-120. The time between the arrival of electronic...Ch. 4.8 - 4-121. The time between arrivals of taxis at a...Ch. 4.8 - Prob. 122ECh. 4.8 - 4-123. According to results from the analysis of...Ch. 4.8 - 4-124. The distance between major cracks in a...Ch. 4.8 - 4-125. The lifetime of a mechanical assembly in a...Ch. 4.8 - 4-126. The time between arrivals of small aircraft...Ch. 4.8 - Prob. 127ECh. 4.8 - Prob. 128ECh. 4.8 - Prob. 129ECh. 4.8 - Prob. 130ECh. 4.8 - Prob. 131ECh. 4.8 - Prob. 132ECh. 4.8 - Prob. 133ECh. 4.8 - 4-134. Requests for service in a queuing model...Ch. 4.8 - 4-135. An article in Vaccine [“Modeling the...Ch. 4.8 - 4-136. An article in Ad Hoc Networks [“Underwater...Ch. 4.9 - 4-137. Use the properties of the gamma function to...Ch. 4.9 - Prob. 138ECh. 4.9 - 4-139. Calls to a telephone system follow a...Ch. 4.9 - Prob. 140ECh. 4.9 - Prob. 141ECh. 4.9 - Prob. 142ECh. 4.9 - Prob. 143ECh. 4.9 - Prob. 144ECh. 4.9 - Prob. 145ECh. 4.9 - Prob. 146ECh. 4.9 - Prob. 147ECh. 4.9 - 4-148. Use the result for the gamma distribution...Ch. 4.9 - Prob. 149ECh. 4.9 - 4-150. The total service time of a multistep...Ch. 4.9 - Prob. 151ECh. 4.9 - 4-152. An article in Mathematical Biosciences...Ch. 4.10 - Prob. 153ECh. 4.10 - Prob. 154ECh. 4.10 - Prob. 155ECh. 4.10 - Prob. 156ECh. 4.10 - Prob. 157ECh. 4.10 - 4-158. Assume that the life of a packaged magnetic...Ch. 4.10 - Prob. 159ECh. 4.10 - Prob. 160ECh. 4.10 - Prob. 162ECh. 4.10 - Prob. 163ECh. 4.10 - Prob. 164ECh. 4.10 - Prob. 165ECh. 4.10 - Prob. 167ECh. 4.10 - Prob. 168ECh. 4.10 - Prob. 169ECh. 4.11 - 4-170. Suppose that X has a lognormal distribution...Ch. 4.11 - Prob. 171ECh. 4.11 - 4-172. Suppose that X has a lognormal distribution...Ch. 4.11 - 4-173. The length of time (in seconds) that a user...Ch. 4.11 - 4-174. Suppose that X has a lognormal distribution...Ch. 4.11 - 4-175. The lifetime of a semiconductor laser has a...Ch. 4.11 - Prob. 176ECh. 4.11 - Prob. 177ECh. 4.11 - Prob. 178ECh. 4.11 - Prob. 179ECh. 4.11 - Prob. 180ECh. 4.11 - Prob. 181ECh. 4.11 - Prob. 182ECh. 4.11 - Prob. 183ECh. 4.12 - Prob. 184ECh. 4.12 - Prob. 185ECh. 4.12 - Prob. 186ECh. 4.12 - Prob. 187ECh. 4.12 - Prob. 188ECh. 4.12 - Prob. 189ECh. 4.12 - Prob. 190ECh. 4.12 - Prob. 191ECh. 4 - Prob. 192SECh. 4 - Prob. 193SECh. 4 - Prob. 194SECh. 4 - 4-195. + The length of an injection-molded plastic...Ch. 4 - 4-196. + The sick-leave time of employees in a...Ch. 4 - Prob. 197SECh. 4 - Prob. 198SECh. 4 - 4-199. + When a bus service reduces fares, a...Ch. 4 - Prob. 200SECh. 4 - Prob. 201SECh. 4 - Prob. 202SECh. 4 - Prob. 203SECh. 4 - Prob. 204SECh. 4 - 4-205. + The CPU of a personal computer has a...Ch. 4 - Prob. 206SECh. 4 - Prob. 207SECh. 4 - Prob. 208SECh. 4 - 4-209. + Without an automated irrigation system,...Ch. 4 - 4-210. With an automated irrigation system, a...Ch. 4 - Prob. 211SECh. 4 - Prob. 212SECh. 4 - Prob. 213SECh. 4 - Prob. 214SECh. 4 - Prob. 215SECh. 4 - Prob. 216SECh. 4 - 4-217. + A square inch of carpeting contains 50...Ch. 4 - Prob. 218SECh. 4 - Prob. 219SECh. 4 - 4-221. Consider the regional right ventricle...Ch. 4 - Prob. 222SECh. 4 - Prob. 223SECh. 4 - Prob. 224SECh. 4 - Prob. 225SECh. 4 - Prob. 226SECh. 4 - Prob. 227SECh. 4 - Prob. 228SECh. 4 - Prob. 229SECh. 4 - Prob. 230SECh. 4 - Prob. 231SECh. 4 - Prob. 232SECh. 4 - Prob. 233SECh. 4 - 4-234. A process is said to be of six-sigma...
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