The Irradiation of Food to Destroy Bacteria Is an Increasingly

question 30

Essay

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. $$\begin{array} { | c | c | } \hline \text { Method 1 } & \text { Method 2 } \\\hline \bar { x } _ { 1 } = 86 & \bar { x } _ { 2 } = 98 \\\hline s _ { 1 } ^ { 2 } = 324 & s _ { 2 } ^ { 2 } = 841 \\\hline\end{array}$$ Determine whether these data are sufficient to infer at the 5% significance level that the two population variances differ.

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Definitions:

Globalization

The process of interaction and integration among people, companies, and governments worldwide, leading to the global exchange of goods, services, cultural practices, and ideas.

Acceleration

The rate at which an object increases its velocity over time, often discussed in physics.

Deceleration

The process of slowing down or reducing speed.

Middle Class

A socio-economic class between the working class and upper class, typically associated with moderate income, higher education levels, and stable employment.