The Irradiation of Food to Destroy Bacteria Is an Increasingly

question 23

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. $$\begin{array} { | c | c | } \hline \text { Method 1 } & \text { Method 2 } \\\hline \bar { x } _ { 1 } = 86 & \bar { x } _ { 2 } = 98 \\\hline s _ { 1 } ^ { 2 } = 324 & s _ { 2 } ^ { 2 } = 841 \\\hline\end{array}$$ Can we conclude at the 5% significance level that the variance of the bacteria count with method 2 is less than 1500?

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Definitions:

Cocaine

A powerful stimulant drug derived from the coca plant, which can lead to serious health issues, dependency, and addiction.

Substance Withdrawal

Symptoms that occur upon the reduction or cessation of intake of addictive substances to which one has become dependent, often leading to significant distress or impairment.

Cocaine

A powerful and addictive stimulant drug extracted from the leaves of the coca plant, which increases levels of dopamine in the brain circuits regulating pleasure and movement.

Physiological Responses

The body's automatic reactions to internal or external stimuli, often part of the nervous and endocrine systems' roles.