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Instruction 10-9
the Use of Preservatives by Food Processors Has

question 10

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Instruction 10-9
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 A and 15 are treated with preservative B, and the number of hours until spoilage begins is recorded for each of the 30 cuts of meat. The results are summarised in the table below.
 Preservative A  Preservative B XˉA=106.4hoursXˉB=56.54hoursSA=10.3hoursSB=13.4hours\begin{array} { c c } \text { Preservative A } & \text { Preservative B } \\\bar { X } _ { A } = 106.4 \mathrm { hours } & \bar { X } _ { \mathbf { B } } = 56.54 \mathrm { hours } \\S _ { A } = 10.3 \mathrm { hours } & S _ { \mathrm { B } } = 13.4 \mathrm { hours }\end{array}
-Referring to Instruction 10-9,what assumptions are necessary for a comparison of the population variances to be valid?


Definitions:

Data Mining

The process of extracting useful patterns, correlations, and insights from large sets of data using statistical and machine learning techniques.

Salary Differentials

The variations in salary for similar jobs within the same sector or across different sectors, often influenced by geographical location, experience, education level, and the nature of the work.

Competitiveness

The ability of a company, region, or country to produce goods and services that meet the test of international markets while simultaneously maintaining or expanding the real incomes of its citizens.

Human Capital Investments

Are investments people make in themselves to increase their value in the workplace. These investments might take the form of additional education or training.

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