SAMPLING THEORY In Thohoyandou area, a farmer is interested in clearing the forests on the habits of birds whichlive in and nearby the managed forest plantation. Some areas within the plantation arecompletely clear flattened (CF) and replanted, and in others narrow strips are flattened andreplanted in rotation (SF). The farmer divides the CF and SF areas into quadrats, and a randomsample of quadrats is selected from regular observation of bird behaviour at various times afterreplanting. The CF areas contain 6000 quadrats and the SF has 1700. The farmer wishes toallocate 50 quadrats for observation to the two strata (CF and SF). One of the prime estimatesis the number of species sighted within the quadrats. It is already known that the variance in thenumber of species in SF areas is 2s approximately twice that in CF areas. Access to the CFareas is easier than the SF areas. It costs 1.5 times as much to survey an SF quadrat than CFquadrat. Calculate the sample sizes, è and m using:a) Proportional to size allocation.b) Optimal allocation with varying cost.

CF areas have 6000 quadrantsSF areas have 1700 quadrantsVariance in SF areas 2s12 Variance in CF…

Answered: In Thohoyandou area, a farmer is…

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 breeding experiment, chicken with white feathers, small comb were mated and the offspring categories white feathers, small comb (WS), white feathers. large comb (WL), dark feathers, small comb (DS) and dark feathers, large comb (DL) were expected to follow the ratio 9:3:3:1 the researcher observed that there were 100 WS, 32 WL, 40 DS and 20 DL offspring. In order to test if the observed frequencies follow the expected ratio, what should be the hull hypothesis?A. P(WS) = 100/192, P(WL) = 32/192, P(DS) = 40/192 , P(DL) = 20/192 B. P(WS) = 100 , P(WL) = 32, P(DS) = 40, P(DL) = 20 C. P(WS) = 9/16 , P(WL) = 3/16, P(DS) = 3/16, P(DL) = 1/16 D. P(WS) = 9, P(WL) = 3, P(DS) = 3 , P(DL) = 1 2. In Problem 1, what would be the degree of freedom for an appropriate test?A.2 B.3 C.4 D.1 3. What is the value of the computed test statistic in problem 1? A.7.81 B.3.84 C.6.81 D.5.99 5.What would be the p-value for this test in problem 1? A.0.28 B.0.05 C.0.08 D. 0.11 6. At 5-% level of significance,…
A geneticist working on peas has a single plant monohybrid Y/y (yellow) plant and, from a self of this plant,wants to produce a plant of genotype y/y to use as a tester. How many progeny plants need to be grown to be 95percent sure of obtaining at least one in the sample?
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Can higher-order interactions be dropped to error in the analysis of fractional factorial designs? Why or why not ?
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same 12 cars, chosen at random. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table below. Car 1 2 3 4 5 6 7 8 9 10 11 12 Brand 1 0.64 0.53 0.32 0.61 0.59 0.64 0.34 0.58 0.53 0.43 0.38 0.34 Brand 2 0.47 0.48 0.31 0.37 0.56 0.37 0.30 0.57 0.49 0.41 0.50 0.17 Difference(Brand 1 - Brand 2) 0.17…
To assess the effect of piston ring type and oil type on piston ring wear, three types of piston ring and four types of oil were studied. Three replications of an experiment, in which the number of milligrams of material lost from the ring in four hours of running was measured, were carried out for each of the 12 combinations of oil type and piston ring type. With oil type as the row effect and piston ring type as the column effect, the following sums of squares were observed: SSA = 1.0926, SSB = 0.9340, SSAB = 0.2485, SSE = 1.7034. a) How many degrees of freedom are there for the effect of oil type? b) How many degrees of freedom are there for the effect of piston ring type? c) How many degrees of freedom are there for interactions? d) How many degrees of freedom are there for error? e) Construct an ANOVA table. You may give ranges for the P-values. f) Is the additive model plausible? Provide the value of the test statistic and the P-value. g) Is it plausible that the main effects of…
In many colleges, educators are changing their approach to instruction from a “teacher/lecture-centeredmodel” to a “student-centered model” where students learn in a laboratory environment in which lectureis deemphasized and students can proceed at a pace suitable to their learning needs. In once schoolwhere this model was being introduced, of the 743 students who enrolled in the traditional lecture model, 364 passed; of the 567 in the student-centered model, 335 passed. Use a 0.05 level ofsignificance to test the claim that student-centered model results in a higher pass rate than the traditionalmodel?
Due to a manufacturing error,ten cans of regular soda were accidentally filled with diet soda and placed into a 36-pack. Suppose that two cans are randomly selected from the 36-pack. Complete parts (a) through (c).
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?
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