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Why would we expect the log transformation to be the variance-stabilizing transformation for the data in Exercise 6.2?
Exercise 6.2
Bacteria in solution are often counted by a method known as serial dilution plating. Petri dishes with a nutrient agar are inoculated with a measured amount of solution. After 3 days of growth, an individual bacterium will have grown into a small colony that can be seen with the naked eye. Counting original bacteria in the inoculum is then done by counting the colonies on the plate. Trouble arises because we don't know how much solution to add. If we get too many bacteria in the inoculum, the petri dish will be covered with a lawn of bacterial growth and we won't be able to identify the colonies. If we get too few bacteria in the inoculum, there may be no colonies to count. The resolution is to make several dilutions of the original solution (1:1, 10:1, 100:1, and so on) and make a plate for each of these dilutions. One of the dilutions should produce a plate with 10 to 100 colonies on it, and that is the one we use. The count in the original sample is obtained by multiplying by the dilution factor. Suppose that we are trying to compare three different Pasteurization treatments for milk. Fifteen samples of milk are randomly assigned to the three treatments, and we determine the bacterial load in each sample after treatment via serial dilution plating. The following table gives the counts.
Test the null hypothesis that the three treatments have the same effect on bacterial concentration.
What other justifications for this requirement can you think of?
Describe three types of systems used in organizations. Note the factors that normally lead to adopting the system and requirements that will likely push its future growth of each type.
Consists of additive noise w(t) as the sample function of a gaussian process with zero mean and power spectral density No/2. Calculate the average probability of symbol error for this method of signalling
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Write a code to perform an LU decomposition of the coefficient matrix [A] (given below) using L-U decomposition with Gauss elimination. Your code should output ILl and [U] as well as verify that: [A] = [L][ U ] Use the following MATLAB matrix func..
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The introduction should briefly state the purpose of the C&A Implementation Proposal and the standardized C&A process to which your proposal document applies.
write a short paper on what your program does. Include the logical expression and what type of while loop (EOF, sentinel-controlled, counter-controlled, flag-controlled) you need. Using the same logical expression as above, use a different while l..
Why are professional organizations important to continual learning? What professional organizations benefit both the employee and the employer
Create a Windows application that includes four groups of two radio buttons each
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