The Irradiation of Food to Destroy Bacteria Is an Increasingly

question 2

Short Answer

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 difference in the mean bacteria counts between method 1 and method 2.

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Definitions:

Demand Schedule

A demand schedule is a table that shows the quantity of a good or service that consumers are willing to purchase at various price points.

Slope

The measure of steepness or incline, typically describing the change in the vertical over the change in the horizontal.

Price Elasticity

A measure of how the quantity demanded of a good or service changes in response to changes in its price, indicating the sensitivity of consumers to price changes.

Cable Subscribers

Consumers who pay for access to cable television services.