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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Textbook Question

Chapter 15.7, Problem 29E

The table that follows contains data on the leaf length for plants of the same species at each of four swampy underdeveloped sites. At each site, six plants were randomly selected. For each plant, ten leaves were randomly selected, and the mean of the ten measurements (in centimeters) was recorded for each plant from each site. Use the Kruskal–Wallis H test to determine whether there is sufficient evidence to claim that the distribution of mean leaf lengths differ in location for at least two of the sites. Use α = .05. Bound or find the approximate p-value.

Chapter 15.7, Problem 29E, The table that follows contains data on the leaf length for plants of the same species at each of

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 15.6, Problem 28E

Chapter 15.7, Problem 30E

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 sufficient evidence to claim that the distribution of mean leaf lengths differs in location for at least two sites.

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