An experimenter wishes to compare the numbers of bacteria of types A and B insamples of water. A total of n independent water samples are taken, and counts aremade for each sample. Let X, denote the number of type A bacteria and Y; denotethe number of type B bacteria for sample i. Assume that the two bacteria types aresparsely distributed within a water sample so that X₁, X2, . . . Xn and Y₁, Y2,."Yn can be considered independent random samples from Poisson distributionswith means X₁ and X2, respectively. Suggest an estimator of A₁/(\₁ + A₂). Whatproperties does your estimator have?

An experimenter wishes to compare the numbers of bacteria of types A and B in samples of water.A…

Answered: An experimenter wishes to compare the…

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 two towns A and B, the following information was supplied by an investigator. Total population (in thousands ) Literates Ililerate criminals Literate criminals Town A 240 40 40 Town B 234 34 20 (.) („) Compare the degree of association between literacy and crime in each of the two towns.
Assuming Employee (X) and Output (Y) for Robinson Malls. Some data are given as: Some data are given as: Branch X R1 R2 R3 R4 R5 2 2 3 Y 6 8 7 9 4 8 Determine each of the following: 6. Ex² = 7. (Ex)² = 8. Σy2 = 9. (Zy)² = 10. Exy =
"What type of data is represented by categories or names? A) Quantitative B) Qualitative C) Numerical D) Continuous"
The table gives heavy - metal nuclear waste (in thousands of metric tons) from spent reactor fuel now stored temporarily at reactor sites, awaiting permanent storage. Waste y Year x 1995 32 2000 42 2010 61 2020 76 Let x = 0 represent 1995, x = 5 represent 2000 (since 2000 - 1995 = 5), and so on. a) For 1995, the ordered pair is (0, 32). Write the ordered pair for the data for the other years given in the table. b) Plot the ordered pairs (x,y). Do the points lie approximately in a straight line? c) Use the ordered pairs (0, 32) and (25, 76) to find the equation of a line that approximates the other ordered pairs. Write the equation in slope - intercept form and in standard form. d) Use the slope - intercept equation form from part (c) to estimate the amount of nuclear waste in 2005.
8. Find the line of best fit y = a + bx for the data points (1,3), (2,4) and (-1,-1).
Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Also given is the product of the birthrate and the female life expectancy for each of the twelve countries. (These products, written in the column labelled "xy", may aid in calculations.) Birthrate, x (number of births per 1000 pop.) Female life expectancy, y (in years) 41.3 15.6 52.1 32.0 47.0 49.7 27.2 19.8 13.3 24.6 36.4 49.4 Send data to calculator 66.8 76.7 60.5 62.2 58.9 53.4 71.2 72.8 73.9 74.3 66.2 63.0 xy 2758.84 1196.52 3152.05 1990.4 2768.3 2653.98 1936.64 1441.44 982.87 1827.78 2409.68 3112.2 Female life expectancy (in years) Figure 1 85- ^y 80- 75- 70- 65_ 60 55 1/46 15 20 25 30 35 40 45 50 55 60 Birthrate (number of births per 1000 pop.) What is the sample…
18. In two towns A and B, the following information was supplied by an investigator: Town A 240 Town B 234 Total population (in thousands) Literates Illiterate criminals Literate criminals 40 34 (,) (,„) (,) 40 20 Compare the degree of association between literacy and crime in each of the two to ; w.; Solutie Lot
Identify in each case if it is a qualitative, continuous quantitative or discrete quantitative variable. a) number of fans in the emergency room of the Medical Centerb) height of the first grade students of the Perpetuo Socorro Schoolc) marital status of the members of the Gran Combo de Puerto Ricod) weight of children confined in the pediatric ward of Presby Hospitale) gallons of milk produced by a cow dailyf) number of children who have five sisters
4. During a given exercise in class data on the heights of fathers (X) and of sons (Y) was collected. The following results were then obtained: Σχ= 71, ΣΥ = 70, Σ χ2555, Σγ?526 and ΣΧΥ-527 %3D Check for the level of association between the heights of fathers 10 and of 10 sons
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To determine the average length of hospital stay for patients who were hospitalized with and recovered from Covid-19, a physician randomly surveyed 100 of his patients and determined their average length of hospital stay. Identify the population, parameter, sample, and statistic for the above scenario. Write "NONE" for any information that is missing.
22 of 47 > Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. The table gives the resulting bacterial counts for each condition: 24 hours at 35 degrees Celsius 24 hours at 43 degrees Celsius 66 98 71 67 93 42 102 31 62 77 Suppose we had plotted bacterial count at 35 degrees Celsius on the y axis instead of the x axis. How would this change affect the value of the correlation coefficient? The correlation would be the inverse of, or I over, the original value. The correlation coefficient would have the opposite sign. The correlation coefficient would be exactly the same. The correlation coefficient would have an entirely different magnitude.

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