Mathematical Statistics with Applications

7th Edition

ISBN: 9780495110811

Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer

Publisher: Cengage Learning

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Textbook Question

Chapter 15.4, Problem 18E

Refer to Exercise 12.16. With α = .01, use the Wilcoxon signed-rank test to see if there was a significant loss in muck depth between the beginning and end of the study.

12.16 “Muck” is the rich, highly organic type of soil that serves as the primary growth medium for vegetation in the Florida Everglades. Because of the high concentration of organic material, muck can be destroyed over time by a variety of natural and human-made causes. Members of the Florida Game and Fresh Water Fish Commission staked out several plots in the Everglades. The depth of muck at each location was measured when each plot was marked and again 6 years later. The following table identifies a portion of the data (given in inches) obtained.

Chapter 15.4, Problem 18E, Refer to Exercise 12.16. With = .01, use the Wilcoxon signed-rank test to see if there was a

a Test to see if there is sufficient evidence to indicate a decrease in average muck depth during the study period. Give bounds on the associated p-value. What would you conclude if you desired to implement an α = .01 level test? (Although you are free to take the necessary differences in any order that you prefer, the answer provided at the back of the book assumes that the differences were formed by taking later readings minus initial readings.)
b Give a 95% confidence interval for the difference in mean muck depths at the end and beginning of the study. Interpret this interval. [See the remark following part (a).]
c Give a 95% confidence interval for the initial mean muck depth in the portion of the Everglades in which the study was conducted.
d Repeat the instructions of part (c) for later readings.
e What assumptions are necessary to apply the techniques you used in answering parts (a) and (b)? Parts (c) and (d)?

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Chapter 15.4, Problem 17E

Chapter 15.4, Problem 19E

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Chapter 15 Solutions

Mathematical Statistics with Applications

Ch. 15.3 - What significance levels between = .01 and = .15...Ch. 15.3 - Prob. 2E Ch. 15.3 - Clinical data concerning the effectiveness of two...Ch. 15.3 - Prob. 4E Ch. 15.3 - New food products are frequently subjected to...Ch. 15.3 - On clear, cold nights in the central Florida...Ch. 15.3 - A psychological experiment was conducted to...Ch. 15.3 - Refer to Exercise 12.15. Using the sign test, do...Ch. 15.3 - Prob. 9E Ch. 15.4 - The accompanying table gives the scores of a group...

Ch. 15.4 - Refer to Exercise 15.4. What answers are obtained...Ch. 15.4 - Refer to Exercise 15.6(a). Answer the question by...Ch. 15.4 - Eight subjects were asked to perform a simple...Ch. 15.4 - Two methods, A and B, for controlling traffic were...Ch. 15.4 - Dental researchers have developed a new material...Ch. 15.4 - Refer to Exercise 12.16. With = .01, use the...Ch. 15.4 - Suppose that Y1, Y2,, Yn is a random sample from a...Ch. 15.4 - The spokesperson for an organization supporting...Ch. 15.6 - Find the p-values associated with each of the...Ch. 15.6 - In some tests of healthy, elderly men, a new drug...Ch. 15.6 - Two plastics, each produced by a different...Ch. 15.6 - Prob. 24E Ch. 15.6 - Prob. 25E Ch. 15.6 - Prob. 26E Ch. 15.6 - Prob. 27E Ch. 15.6 - Prob. 28E Ch. 15.7 - The table that follows contains data on the leaf...Ch. 15.7 - Prob. 30E Ch. 15.7 - Three different brands of magnetron tubes (the key...Ch. 15.7 - An experiment was conducted to compare the length...Ch. 15.7 - Prob. 33E Ch. 15.7 - Prob. 34E Ch. 15.7 - Prob. 35E Ch. 15.8 - In a study of palatability of antibiotics for...Ch. 15.8 - Prob. 38E Ch. 15.8 - Prob. 39E Ch. 15.8 - A serious drought-related problem for farmers is...Ch. 15.8 - Prob. 41E Ch. 15.8 - Prob. 42E Ch. 15.8 - Prob. 43E Ch. 15.8 - Prob. 44E Ch. 15.8 - Prob. 45E Ch. 15.9 - Prob. 46E Ch. 15.9 - Prob. 47E Ch. 15.9 - Prob. 48E Ch. 15.9 - Prob. 49E Ch. 15.9 - Prob. 50E Ch. 15.9 - Prob. 52E Ch. 15.10 - Prob. 53E Ch. 15.10 - Prob. 54E Ch. 15.10 - Prob. 55E Ch. 15.10 - Prob. 56E Ch. 15.10 - Prob. 57E Ch. 15.10 - Prob. 58E Ch. 15.10 - Refer to Exercise 11.4. Regard both book and...Ch. 15.10 - Prob. 60E Ch. 15 - Prob. 62SE Ch. 15 - Prob. 63SE Ch. 15 - Prob. 64SE Ch. 15 - Prob. 65SE Ch. 15 - Prob. 67SE Ch. 15 - Prob. 69SE Ch. 15 - Prob. 70SE Ch. 15 - Prob. 71SE Ch. 15 - Prob. 72SE Ch. 15 - Prob. 74SE Ch. 15 - Prob. 75SE Ch. 15 - Prob. 76SE Ch. 15 - Prob. 77SE Ch. 15 - Prob. 78SE

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Solution Summary: The author concludes that there is a significant loss in muck depth between the beginning and end of the study.

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