Answered: The use of preservatives in meats 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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The use of preservatives in meats is extensively tested for its safe used. A processor wants to compare the preservatives for their effects on retarding spoilage. Suppose 12 cuts of fresh meat are treated with preservative I and 12 are treated with preservative II, and the number of hours until spoilage begins is recorded. For preservative I, the mean number of hours until spoilage is 106 hours with a standard deviation of 10 hours. For
preservative II, the mean number of hours until spoilage is 96 hours with a standard deviation of 9 hours. Assuming the population variances are equal, test if there is a difference in the mean number of hours until spoilage for both preservatives at 1% significance level.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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