The Irradiation of Food to Destroy Bacteria Is an Increasingly

question 40

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. $$\begin{array} { | c | c | } \hline \text { Method 1 } & \text { Method 2 } \\\hline \bar { x } _ { 1 } = 86 & \bar { x } _ { 2 } = 98 \\\hline s _ { 1 } ^ { 2 } = 324 & s _ { 2 } ^ { 2 } = 841 \\\hline\end{array}$$ Estimate with 95% confidence the ratio of the two variances.

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Definitions:

Melancholia

A severe form of depression characterized by a profound feeling of sadness or despair and a lack of interest in life, often accompanied by physical symptoms.

Mental Disorders

Health conditions characterized by alterations in thinking, mood, or behavior associated with distress and impaired functioning.

Four Body Humors

An ancient theory suggesting that human health and temperament are governed by four bodily fluids: blood, phlegm, black bile, and yellow bile.

Problem in Living

Difficulties and challenges that individuals face in daily life, which may include financial issues, relationship problems, or work-related stress.