In a Controlled Laboratory Environment, a Random Sample of 10

Multiple Choice

In a controlled laboratory environment, a random sample of 10 adults and a random sample of 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The data are summarized below:

$$\begin{array} { l c c } \hline & \text { Sample Mean } & \text { Sample Variance } \\\hline \text { Adults (1) } & 77.5 ^ { \circ } \mathrm { F } & 4.5 \\\text { Children (2) } & 74.5 ^ { \circ } \mathrm { F } & 2.5 \\\hline\end{array}$$ Find the standard error of the estimate for the difference in mean comfortable room temperatures between adults and children.

A) 0.7000
B) 0.8367
C) 1.6279
D) 0.1871