
Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118802250
Author: Montgomery
Publisher: WILEY
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Question
Chapter 9, Problem 158SE
a.
To determine
Check whether the data support the claim that the
b.
To determine
Find the P-value for the test.
c.
To determine
Check whether the normal distribution seems to be an appropriate model for the data and to perform goodness of fit test procedure.
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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
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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
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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 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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