Homework Answers
Answer 7b- The population-1 has higher variance in height and weight as compared to population-2, which sauggests that population-1 must be having higher genetic variations. Genetic variation within a population can be measured by taking account of the number of different alleles of the genes (here genes responsible for height and weight) and the frequency with which they appear. Variation will be high when there are many different allelic forms of genes encoding height and weight phenotypes and when there are many different combinations of those alleles. Thus global gene pool represents all the allelic forms present in a species. Population with higher variance (higher genetic variations) represents global gene pool better than population with low variance. Therefore population-1, in this case, is a better representation of global gene pool that population-2.
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Suppose population 1 has mean with variance σ2 and population 2 has mean μ2 with the same variance σ. Let sỈ and s denote the sample variances from two samples with size ni and n2 from the corresponding populations, respectively. Show that the pooled estimator pooled is an unbiased estimator of σ2
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