. For two factors-starchy or sugary, and green base leaf or white base leaf-thefollowing counts for the progeny of self-fertilized heterozygotes were observed(Fisher 1958):ТуреCountStarchy greenStarchy whiteSugary greenSugary white199790690432According to genetic theory, the cell probabilities are .25(2 + 0), .25(1 - 0),25(1 ), and .2560, where 0(0 < 0<1) is a parameter related to the linkageof the factors.6.number of counts in the first cell is n(2 0)/4; if this expected number isequated to the count X1, the following estimate is obtained:consider two other estimates of 0. (1) The expected4X1п(2) The same procedure done for the last cell yields4X4nCompute these estimates. Using that X and X4 are binomial random variablesshow that these estimates are unbiased, and obtain expressions for their vari-ances. Evaluate the estimated standard errors and compare them to the estimatedstandard error of the mle

Introduction:Denote X1, X2, X3 and X4 as the counts for the progeny of self-fertilized…

Answered: . For two factors-starchy or sugary,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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. In a study to investigate the effect of regular physical exercise on the reduction of high blood pressure in males aged 60-65, the researchers selected at random a sample of n₁ =12 males suffering from high blood pressure in the given a 12ge group and for a two-year period placed the subjects on a daily physical exercise program. A second sample of n₂ =12 males suffering from high blood pressure in the given age group was selected and again for the two-year period this group of subjects were placed on a physical exercise program for which they were required to perform only once a week. Finally a third sample of n3 =12 males suffering from high blood pressure in the given age group was selected. No exercise program was required for individuals in sample three. At the end of the two-year period the reduction in blood pressure was measured for each of the subjects in the study and is presented in the table on the next page. Table V.1: Reduction in Blood pressure for three groups of…
An experiment was conducted to study the life (in hours) of two different brands of batteries in threedifferent devices (radio, camera, and portable DVD player). A completely randomized two-factorexperiment was conducted, and the following data resulted.Brand Deviceof Battery Radio Camera DVD PlayerA 8.6 7.9 5.48.2 8.4 5.7B 9.4 8.5 5.88.8 8.9 5.9(a) Analyze the data and draw conclusions, using α = 0.05. (b) Investigate model adequacy by plotting the residuals. (c) Which brand of batteries would you recommend?
An experiment in chicken breeding results in offspring having very curly, slightly curly, or normal feathers. If this is the result of a single gene system, then the proportions of offspring in the three phenotypes should be 0.25, 0.50, and 0.25 respectively. In one such experiment, 93 chickens were born. 20 had normal feathers, 50 had slightly curly feathers, and 23 had very curly feathers. Carry out a test to determine whether the genetic model seems to hold in this setting.
In a study of chromosomal anomalies observed in a randomly selected sample of 1200 infertile men with either a zero or low sperm count, a team of researchers assigned the value of 1 for the presence of any chromosomal anomaly in the subject's sperm and the value of 0 for the absence of all chromosomal anomalies in the subject's sperm.Of the 600 men with zero sperm count, 48 had chromosomal anomalies. Of the 600 men with low sperm count, 15 had chromosomal anomalies. The researchers would like to test the hypothesesHo: P1 = P2Ha: P1 does not equal P2where p₁ the true proportion of all men with zero sperm count that have chromosomal anomalies and p₂ = the true proportion of all men with low sperm count that have chromosomal anomalies.What is the z standardized test statistic, for this test?
A social psychologist hypothesized that a white person is more likely to cooperate with another person than a black person in a task requiring cooperation (this would be considerate an alternative hypothesis). To test this idea he conducted an experiment in which white subjects either worked on a task with a white person or black person (both of these “others” were confederates of the experimenter). Thirty-one subjects were randomly assigned to the “white-other” treatment (say this is treatment 1) and 31 were randomly assigned to the “black-other” treatment (this is treatment 2). If the mean cooperation scores, on a scale from 0 to 20, were 14 for those subjects in the “white-other” treatment and 12 for those in the “black-other” treatment, run an appropriate test to test the social psychologist’s hypothesis. Let us further say that the variance for the cooperation measure for the “white-other” treatment was = 2.48 and the variance for the “black-other” treatment was = 2.52. Use =0.05…
A group of AP Statistics students wanted to see if plain, peanut, and almond M&Ms have the same color distribution. To test this, students took a random sample of each type of M&M and classified the candies in the sample by color. They plan to carry out a chi-square test to decide if there is evidence that the color distributions are not the same for the three types of M&Ms. Red Blue Green Orange Brown Piain 20 18 15 10 14 12 Peanut 8 6 8 25 5 7 Almond 7 11 10 12 10 What is the expected count for green peanut M&Ms? А 25/47 (25x47)/47 (59x47)/59 (59x47)/207 В C D
The table below summarizes a data set regarding views on full-body scans and political affiliation. The differences in each political group may be due to chance. Complete the following computations under the null hypothesis of independence between an individual's party affiliation and his support of full-body scans. It may be useful to first add on an extra column for row totals before proceeding with the computations. -TT Party Affiliation Republican Democrat Independent Should 264 299 351 Answer Should not 38 55 77 Don't know/No answer 16 15 22 Total 318 369 450 How many Democrats would you expect to support the use of full-body scans? Round your answer to one decimal place.
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A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute: (round to four decimal places)a.P(Republican) = b.P(same) = c.P(same|Republican) = d.P(Republican|same) = e.P(Republican and same) =

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