TABLE 10-14 the Use of Preservatives by Food Processors Has Become a Become

question 194

Essay

TABLE 10-14
The use of preservatives by food processors has become a controversial issue. Suppose two preservatives are extensively tested and determined safe for use in meats. A processor wants to compare the preservatives for their effects on retarding spoilage. Suppose 15 cuts of fresh meat are treated with preservative I and 15 are treated with preservative II, and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat. The results are summarized in the table below.
Preservative I Preservative II
I = 106.4 hours II = 96.54 hours
SI = 10.3 hours SII = 13.4 hours
-Referring to Table 10-14, what is the largest level of significance at which a test of whether the population variances differ for preservatives I and II will not be rejected?

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Definitions:

Observed Frequencies

The actual number of occurrences or instances recorded in categorized data.

Null Hypothesis

A statement in statistics that there is no significant difference or effect, and any observed difference is due to chance.

Multinomial Experiment

An experiment that extends binomial trials, allowing for more than two possible outcomes for each trial.

Observed Frequencies

The number of occurrences or instances of data points in specified categories or intervals as collected from experiments or surveys.