Finding Critical Values and Confidence Intervals. In Exercises 5–8, use the given information to find the number of degrees of freedom, the critical values
7. Platelet Counts of Women 99% confidence; n = 147, s = 65.4.
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Elementary Statistics Third California Edition
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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_forwardt-models, part I Using the t tables, software, or a calcu-lator, estimate a) the critical value of t for a 90% confidence intervalwith df = 17.b) the critical value of t for a 98% confidence intervalwith df = 88.c) the P-value for t Ú 2.09 with 4 degrees of freedom.d) the P-value for t 7 1.78 with 22 degrees offreedom.arrow_forwardA sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 7.1 s = 2.3 n = 18 α = 0.01 H0: µ = 10 H1: µ < 10 The critical value(s) is/are (If there are two critical values separate each with a comma and list from smallest to largest)arrow_forward
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- National data reveals that the probability a youthful offender on probation will commit another crime is 80%. A special rehabilitation program was conducted for youthful offenders. A sample of 100 participants showed that 75 subsequently committed another crime. Do the hypothesis using the formal critical value method at 1% level of significance:H0: p ≥ 0.80H1: p < 0.80Remember to show your steps (including all relevant information) and explicitly verify that all assumptions of the procedure are satisfied. show the steps on how to solve it.arrow_forwardA sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 3.12 s = 0.59 n = 9 α = 0.01 H0: µ = 2.85 H1: µ > 2.85 The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning