Explanation The hypotheses are given below: Null hypothesis: H 0 : The lengths of life for the experimental batteries tend to be equal to the lengths of life for the standard batteries. Alternative hypothesis: H a : The lengths of life for the experimental batteries tend to be greater than the lengths of life for the standard batteries. The rank is obtained below: Failure batteries Ranks Failure batteries Ranks A 1 B 16 B 2 B 17 B 3 B 18 B 4 B 19 A 5 A 20 B 6 A 21 A 7 B 22 A 8 A 23 B 9 A 24 B 10 A 25 B 11 B 26 B 12 A 27 A 13 A 28 B 14 A 29 A 15 A 30 The value of W A is obtained below: W A = 1 + 5 + 7 + 8 + 13 + 15 + 20 + 21 + 23 + 24 + 25 + 27 + 28 + 29 + 30 = 276 The value of U is obtained below: U = n 1 n 2 + n 1 ( n 1 + 1 ) 2 − W where n 1 is number of batteries selected from plant A, n 2 is number of batteries selected from plant B and W sum of rank of plant A U = 15 ( 15 ) <

Mathematical Statistics with Applications

7th Edition

ISBN: 9780495110811

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

Publisher: Cengage Learning

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 15.6, Problem 25E

To determine

Check whether there is sufficient evidence to permit the experimenter to conclude that the lengths of life for the experimental batteries tend to be greater than the lengths of life for the standard batteries.

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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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