Applied Statistics and Probability for Engineers
Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118802250
Author: Montgomery
Publisher: WILEY
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Chapter 8.1, Problem 5E

a.

To determine

Find the value of the sample mean.

b.

To determine

Identify the 95% and 90% confidence intervals.

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Suppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6. a.  Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.)   I worked out the Upper Limit, but I can't seem to arrive at the correct answer for the Lower Limit. What is the Lower Limit?…
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known. Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null hypothesis, 40 0. What level of type II error would you recommend here? = Round your answer to four decimal places (e.g. 98.7654). Use α = 0.05. β = 0.0594 What sample size would be required? Assume the sample sizes are to be…
Consider the hypothesis test Ho: 0 s² = = 4.5; s² = 2.3. Use a = 0.01. = σ against H₁: 6 > σ2. Suppose that the sample sizes are n₁ = 20 and 2 = 8, and that (a) Test the hypothesis. Round your answers to two decimal places (e.g. 98.76). The test statistic is fo = 1.96 The critical value is f = 6.18 Conclusion: fail to reject the null hypothesis at a = 0.01. (b) Construct the confidence interval on 02/2/622 which can be used to test the hypothesis: (Round your answer to two decimal places (e.g. 98.76).) 035

Chapter 8 Solutions

Applied Statistics and Probability for Engineers

Ch. 8.1 - 8-11. The yield of a chemical process is being...Ch. 8.1 - 8-12. The diameter of holes for a cable harness is...Ch. 8.1 - 8-13. A manufacturer produces piston rings for an...Ch. 8.1 - 8-14. The life in hours of a 75-watt light bulb is...Ch. 8.1 - 8-15. A civil engineer is analyzing the...Ch. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - 8-20. If the sample size n is doubled, by how much...Ch. 8.1 - 8-21. Go Tutorial An article in the Journal of...Ch. 8.1 - 8-22. Ishikawa et al. (Journal of Bioscience and...Ch. 8.1 - Prob. 23ECh. 8.2 - 8-24. Find the values of the following...Ch. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - 8-27. A random sample has been taken from a normal...Ch. 8.2 - 8-28. A random sample has been taken from a normal...Ch. 8.2 - 8-29. A research engineer for a tire manufacturer...Ch. 8.2 - 8-30. An Izod impact test was performed on 20...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - 8-34. An article in the Journal of Composite...Ch. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - 8-38. A particular brand of diet margarine was...Ch. 8.2 - 8-39. The compressive strength of concrete is...Ch. 8.2 - 8-40. A machine produces metal rods used in an...Ch. 8.2 - 8-41. An article in Computers & Electrical...Ch. 8.2 - Prob. 42ECh. 8.2 - 8-43. An article in Nuclear Engineering...Ch. 8.2 - Prob. 44ECh. 8.2 - 8-45. A healthcare provider monitors the number of...Ch. 8.3 - 8-46. Q Determine the values of the following...Ch. 8.3 - Prob. 47ECh. 8.3 - 8-48. A rivet is to be inserted into a hole. A...Ch. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - 8-54. An article in Cancer Research [“Analyses of...Ch. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.4 - 8-59. The fraction of defective integrated...Ch. 8.4 - Prob. 60ECh. 8.4 - 8-61. The 2004 presidential election exit polls...Ch. 8.4 - 8-62. Of 1000 randomly selected cases of lung...Ch. 8.4 - 8-63. An article in the Journal of the American...Ch. 8.4 - 8-64. A random sample of 50 suspension helmets...Ch. 8.4 - 8-65. The Arizona Department of Transportation...Ch. 8.4 - 8-66. A study is to be conducted of the percentage...Ch. 8.4 - 8-67. The U.S. Postal Service (USPS) has used...Ch. 8.4 - Prob. 68ECh. 8.4 - Prob. 69ECh. 8.4 - Prob. 70ECh. 8.4 - Prob. 72ECh. 8.6 - 8-73. Go Tutorial Consider the tire-testing data...Ch. 8.6 - 8-74. Consider the Izod impact test described in...Ch. 8.6 - 8-75. Consider the syrup-dispensing measurements...Ch. 8.6 - Prob. 76ECh. 8.6 - Prob. 77ECh. 8.6 - 8-78. Consider the margarine test described in...Ch. 8.6 - Prob. 79ECh. 8.6 - Prob. 80ECh. 8.6 - 8-81. Consider the test on the compressive...Ch. 8.6 - Prob. 82ECh. 8.6 - 8-83. Consider the fuel rod enrichment data...Ch. 8.6 - Prob. 84ECh. 8.6 - 8-85. Consider the tire-testing data in Exercise...Ch. 8.6 - Prob. 86ECh. 8.6 - Prob. 87ECh. 8.6 - 8-88. Consider the margarine test described in...Ch. 8.6 - Prob. 89ECh. 8.6 - Prob. 90ECh. 8.6 - 8-91. Consider the television tube brightness data...Ch. 8.6 - Prob. 92ECh. 8.6 - Prob. 93ECh. 8.6 - Prob. 94ECh. 8 - Prob. 95SECh. 8 - 8-96. A normal population has a known mean of 50...Ch. 8 - 8-97. A normal population has known mean μ = 50...Ch. 8 - 8-98. An article in the Journal of Sports Science...Ch. 8 - 8-99. The article “Mix Design for Optimal Strength...Ch. 8 - 8-100. An operating system for a personal computer...Ch. 8 - 8-101. Consider the hemoglobin data in Exercise...Ch. 8 - Prob. 102SECh. 8 - 8-103. The maker of a shampoo knows that customers...Ch. 8 - 8-104. During the 1999 and 2000 baseball seasons,...Ch. 8 - Prob. 105SECh. 8 - 8-106 An article in the ASCE Journal of Energy...Ch. 8 - 8-107. The tar content in 30 samples of cigar...Ch. 8 - Prob. 108SECh. 8 - Prob. 109SECh. 8 - Prob. 110SECh. 8 - 8-111. An article in the Journal of Applied...Ch. 8 - Prob. 112SECh. 8 - Prob. 113SECh. 8 - Prob. 114SECh. 8 - Prob. 115SECh. 8 - Prob. 116SECh. 8 - Prob. 117SECh. 8 - Prob. 118SECh. 8 - Prob. 119SE
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