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 mean bacteria count with method 2.

Question

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 mean bacteria count with method 2.

Quizplus · Accepted Answer

The Answer of 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 mean bacteria count with method 2.

The Irradiation of Food to Destroy Bacteria Is an Increasingly