Researchers fed cockroaches a sugar solution. Ten hours later, they dissected the cockroaches and measured the amount of sugar in various tissues. Here are the amounts (in micrograms) of D-glucose in the hindguts of 5 cockroaches:
$$\begin{array} { l l l l l }
55.95 & 68.24 & 52.73 & 21.50 & 23.78
\end{array}$$ A 95% confidence interval is constructed with these data. What does the method used to compute this confidence interval have a 95% probability of capturing?

Question

Researchers fed cockroaches a sugar solution. Ten hours later, they dissected the cockroaches and measured the amount of sugar in various tissues. Here are the amounts (in micrograms) of D-glucose in the hindguts of 5 cockroaches:
$$\begin{array} { l l l l l } 
55.95 & 68.24 & 52.73 & 21.50 & 23.78
\end{array}$$ A 95% confidence interval is constructed with these data. What does the method used to compute this confidence interval have a 95% probability of capturing?

Quizplus · Accepted Answer

The 95% confidence interval for the mean amount of D-glucose in the hindguts of cockroaches is designed to estimate the population mean (μ) of all lab cockroaches fed a similar sugar solution, not just the mean of a single sample or any specific individual measurement.

Researchers Fed Cockroaches a Sugar Solution 55.9568.2452.7321.5023.78\begin{array} { l l l l l } 55.95 & 68.24 & 52.73 & 21.50 & 23.78\end{array}55.95​68.24​52.73​21.50​23.78​

Researchers Fed Cockroaches a Sugar Solution $\begin{array} { l l l l l } 55.95 & 68.24 & 52.73 & 21.50 & 23.78\end{array}$