Data Set 11-6: Walking is valuable exercise. Does the size of the place you live have any relationship to how much walking you do? The following data (in miles per day) are entirely hypothetical, but represent a reasonable guess. (The place names for this problem are ordered from large to small and are from particular sources-can you identify a source or two?) $$\begin{array} { l c c c }
& \text { Gotham } & \text { Middletown } & \text { Grovers Corners } \
\Sigma \mathrm { X } & 16 & 24 & 32 \
\Sigma \mathrm { X } ^ { 2 } & 70 & 60 & 140 \
N & 4 & 12 & 8
\end{array}$$
-For Data Set 11-6, the proper conclusion is that there are
A) no significant differences the null hypothesis should be rejected
B) no significant differences the null hypothesis should be retained
C) significant differences the null hypothesis should be rejected
D) significant differences the null hypothesis should be retained.

Question

Data Set 11-6: Walking is valuable exercise. Does the size of the place you live have any relationship to how much walking you do? The following data (in miles per day) are entirely hypothetical, but represent a reasonable guess. (The place names for this problem are ordered from large to small and are from particular sources-can you identify a source or two?) $$\begin{array} { l c c c } 
& \text { Gotham } & \text { Middletown } & \text { Grovers Corners } \
 \Sigma \mathrm { X } & 16 & 24 & 32 \
\Sigma \mathrm { X } ^ { 2 } & 70 & 60 & 140 \
N & 4 & 12 & 8
\end{array}$$
-For Data Set 11-6, the proper conclusion is that there are
A) no significant differences the null hypothesis should be rejected
B) no significant differences the null hypothesis should be retained
C) significant differences the null hypothesis should be rejected
D) significant differences the null hypothesis should be retained.

Quizplus · Accepted Answer

The data suggests that the average miles walked per day varies significantly across different sizes of places (Gotham, Middletown, Grovers Corners), indicating that there are significant differences in walking habits based on the size of the place, leading to the rejection of the null hypothesis which would typically state that there is no difference.

Data Set 11-6: Walking Is Valuable Exercise -For Data Set 11-6, the Proper Conclusion Is That There