Interested in whether having young children causes one to go the public library more often, we run a t-test using the following statistics:
$\begin{array}{lcc}
& \text { Don't Have Small Child } & \text { Have Small Child } \
\text { Mean \# time to library } & 9.57 & 11.89 \
\text { Standard Deviation } & 24.17 & 27.70 \
\text { Sample Size } & 1250 & 227
\end{array}$ This is not a statistically significant difference. Assuming all the other results remain the same, find the smallest possible mean difference that WOULD give you a statistically significant difference.

Question

Interested in whether having young children causes one to go the public library more often, we run a t-test using the following statistics:
 $\begin{array}{lcc} 
& \text { Don't Have Small Child } & \text { Have Small Child } \
\text { Mean \# time to library } & 9.57 & 11.89 \
\text { Standard Deviation } & 24.17 & 27.70  \
\text { Sample Size } & 1250 & 227
\end{array}$ This is not a statistically significant difference. Assuming all the other results remain the same, find the smallest possible mean difference that WOULD give you a statistically significant difference.

Quizplus · Accepted Answer

The Answer of Interested in whether having young children causes one to go the public library more often, we run a t-test using the following statistics:
 $\begin{array}{lcc} 
& \text { Don't Have Small Child } & \text { Have Small Child } \
\text { Mean \# time to library } & 9.57 & 11.89 \
\text { Standard Deviation } & 24.17 & 27.70  \
\text { Sample Size } & 1250 & 227
\end{array}$ This is not a statistically significant difference. Assuming all the other results remain the same, find the smallest possible mean difference that WOULD give you a statistically significant difference.

Interested in Whether Having Young Children Causes One to Go