Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 7.2, Problem 21E
To determine
Generate a
Check whether it look very much like a normal distribution or not.
Construct a table similar to table 7-1 by drawing 20 random
Find a sample average from each sample and construct a normal probability plot.
Check whether sample averages seem to be
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Activ
Determine compass error using amplitude (Sun).
Minimum number of times that activity should be performed: 3 (1 each phase)
Sample calculation (Amplitude- Sun):
On 07th May 2006 at Sunset, a vessel in position 10°00'N 010°00'W observed the Sun bearing 288°
by compass. Find the compass error.
LMT Sunset:
LIT:
(+) 00d
07d 18h
00h
13m
40m
UTC Sunset:
07d
18h
53m
(added- since longitude is westerly)
Declination (07d 18h):
N 016° 55.5'
d (0.7):
(+)
00.6'
Declination Sun:
N 016° 56.1'
Sin Amplitude = Sin Declination/Cos Latitude
= Sin 016°56.1'/ Cos 10°00'
= 0.295780189
Amplitude=W17.2N
(The prefix of amplitude is named easterly if body is rising,
and westerly if body is setting. The suffix is named same
as declination)
True Bearing=287.2°
Compass Bearing= 288.0°
Compass Error = 0.8° West
Chapter 7 Solutions
Applied Statistics and Probability for Engineers
Ch. 7.2 - 7-1. Consider the hospital emergency room data...Ch. 7.2 - 7-2. Consider the compressive strength data in...Ch. 7.2 - 7-3. PVC pipe is manufactured with a mean diameter...Ch. 7.2 - 7-4. Suppose that samples of size n = 25 are...Ch. 7.2 - 7-5. A synthetic fiber used in manufacturing...Ch. 7.2 - 7-6. Consider the synthetic fiber in the previous...Ch. 7.2 - 7-7. The compressive strength of concrete is...Ch. 7.2 - 7-8. Consider the concrete specimens in Exercise...Ch. 7.2 - 7-9. A normal population has mean 100 and variance...Ch. 7.2 - 7-10. Suppose that the random variable X has the...
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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