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The Irradiation of Food to Destroy Bacteria Is an Increasingly

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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.  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 variance of the bacteria count with method 1, and briefly describe what this interval estimate tells you.

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Definitions:

Writing

The representation of language in a textual medium through the use of a set of signs or symbols.

After-Acquired Property

Property not owned by a debtor at the time of a security agreement but acquired later and subsequently becomes subject to the security interest.

Security Interest

A security interest is a legal right granted by a debtor to a creditor over the debtor's property, ensuring the property may be used as collateral for the repayment of a debt.

Consumer Good

A consumer good is a product intended for final consumption by individuals or households as opposed to being used in the production of other goods or services.

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