Introduction to Probability and Statistics

14th Edition

ISBN: 9781133103752

Author: Mendenhall, William

Publisher: Cengage Learning

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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 14.4, Problem 14.23E

Hair Color The hair and eye color that follows was self-reported by a sample of Caucasian Americans born between 1957 and 1965 (currently 45—53 years old).6 The following data was adapted from that study.

Chapter 14.4, Problem 14.23E, Hair Color The hair and eye color that follows was self-reported by a sample of Caucasian Americans

Is there sufficient evidence to conclude that the proportion of individuals with these hair colours differ for males and females? Use α = .05 .
Are there any cells with an expected number less than five? If so, combine those cells with those next to it and reanalyze the data. Do the end results differ?

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Chapter 14.4, Problem 14.22E

Chapter 14.4, Problem 14.24E

Chapter 14 Solutions

Introduction to Probability and Statistics

Ch. 14.3 - Prob. 14.2E Ch. 14.3 - Prob. 14.3E Ch. 14.3 - Prob. 14.4E Ch. 14.3 - Suppose that a response can fall into one of k=5...Ch. 14.3 - Prob. 14.6E Ch. 14.3 - Prob. 14.7E Ch. 14.3 - Prob. 14.9E Ch. 14.3 - Mortality Statistics Medical statistics show that...Ch. 14.3 - Prob. 14.13E Ch. 14.3 - Prob. 14.14E

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Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?

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Solution Summary: The author explains the null hypothesis and alternative hypotheses for determining whether there is a relationship between hair color and gender.

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