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The results of a nation-wide research Examination analysis performed by Peter are presented as follows: Excellent Better Good Average 528 370 649 372 718 457 413 440 680 521 556 495 586 514 50.5 321 532 470 424 330 (i) State and explain three (3) assumption to be made in conducting the analysis of variance test. (ii) State the appropriate null and alternative hypotheses for the analysis of variance. (iii) Calculate the analysis of variance test statistic and draw an appropriate conclusions that will inform policies on the quantitative assessment (use 1% significant level).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 5E: Population Genetics In the study of population genetics, an important measure of inbreeding is the...

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ASSIGNMENT ONE
The results of a nation-wide research Examination analysis performed by Peter are presented as follows:

Excellent	Better	Good	Average
528	370	649	372
718	457	413	440
680	521	556	495
586	514	50.5	321
	532	470	424
			330

(i) State and explain three (3) assumption to be made in conducting the analysis of variance test.

(ii) State the appropriate null and alternative hypotheses for the analysis of variance.

(iii) Calculate the analysis of variance test statistic and draw an appropriate conclusions that will inform policies on the quantitative assessment (use 1% significant level).

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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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