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The Irradiation of Food to Destroy Bacteria Is an Increasingly

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The irradiation of food to destroy bacteria is an increasingly common practice. In order to determine which one of two methods of irradiation is best, a scientist took a random sample of 100 one-kilogram packages of minced meat and subjected 50 of them to irradiation method 1 and the remaining 50 to irradiation method 2. The bacteria counts were measured and the following statistics were computed. The scientist noted that the data were normally distributed.  Method 1  Method 2 xˉ1=86xˉ2=98s12=324s22=841\begin{array} { | c | c | } \hline \text { Method 1 } & \text { Method 2 } \\\hline \bar { x } _ { 1 } = 86 & \bar { x } _ { 2 } = 98 \\\hline s _ { 1 } ^ { 2 } = 324 & s _ { 2 } ^ { 2 } = 841 \\\hline\end{array} Estimate with 95% confidence the difference in the mean bacteria counts between method 1 and method 2.

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Definitions:

Economic Profit

The difference between total revenue and total costs, including both explicit and implicit costs, indicating the financial performance beyond the break-even point.

Human Capital

The collective skills, knowledge, or other intangible assets of individuals that can be used to create economic value.

Physical Capital

Tangible assets used in the production of goods and services, such as machinery and buildings.

Generates Output

The process of producing or delivering a result, product, or service from a set of inputs or processes.

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