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Finite Population Correction Factor If a simple random
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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?arrow_forward34) If a population exhibits a skew of -5.00 and an excess kurtosis of 5.00 which of the following is true? The population mean exceeds the median. The population variance exceeds the standard deviation. The population standard deviation exceeds the variance. The population median equals the mean. The population median exceeds the mean.arrow_forwardSimple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 45 bank accounts, we want to take a random sample of five accounts in order to learn about the population. How many different random samples of five accounts are possible?arrow_forward
- A random variable X is normally distributed with a mean of 100 and a variance of 100, and a random vari- able Y is normally distributed with a mean of 200 and a variance of 400. The random variables have a corre- lation coefficient equal to 0.5. Find the mean and vari- ance of the random variable: W = 5X + 4Yarrow_forwardWhich of these experiments will have the GREATEST power? Group of answer choices Experiment with sample size of n = 10 and a small effect size (Cohen’s d = 0.1) Experiment with sample size of n = 100 and a large effect size (Cohen’s d = 1.1) Experiment with sample size of n = 100 and a small effect size (Cohen’s d = 0.1) Experiment with sample size of n = 10 and a large effect size (Cohen’s d = 1.1)arrow_forwardBenford's Law states that the first nonzero digits of numbers drawn at random from a large complex data file have the following probability distribution.† First Nonzero Digit 1 2 3 4 5 6 7 8 9 Probability 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 Suppose that n = 275 numerical entries were drawn at random from a large accounting file of a major corporation. The first nonzero digits were recorded for the sample. First Nonzero Digit 1 2 3 4 5 6 7 8 9 Sample Frequency 75 48 37 26 25 18 13 17 16 Use a 1% level of significance to test the claim that the distribution of first nonzero digits in this accounting file follows Benford's Law. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) What are the degrees of freedom?arrow_forward
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