1)- Researchers have developed a new precooling method for preparing Florida vegetables for market. The system employs an air and water mixture designed to yield effective cooling with a much lower water flow than conventional hydrocooling. To compare the effectiveness of the two systems, 20 batches of green tomatoes were divided into two groups; one group was precooled with the new method, and the other with the conventional method. The water flow (in gallons) required to effectively cool each batch was recorded. a) Identify to population, the samples, and the type of statistical inference to be made for this problem. b) How could the sample data be used to compare the cooling effectiveness of the two systems?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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