The football coach at State University wishes to determine if there is a decrease in offensive production between the first half and the second half of his team's recent games. The table below shows the first-half and second-half offensive production (measured in total yards gained per half)
for the past six games.
$\begin{array}{lcccccc}
\hline &{\text { Game }} \
& 1 & 2 & 3 & 4 & 5 & 6 \
\text { First half yards } & 99 & 127 & 131 & 106 & 112 & 144 \
\text { Second half yards } & 89 & 111 & 129 & 92 & 103 & 137 \
\hline
\end{array}$

State a conclusion using the $\alpha = 0.02$ level of significance.
A) Reject $H _ { 0 }$. The mean offensive production appears to decrease from the first half to the second half.
B) Do not reject $H _ { 0 }$. There is insufficient evidence to conclude that the mean offensive production decreases from the first to the second half.

Question

The football coach at State University wishes to determine if there is a decrease in offensive production between the first half and the second half of his team's recent games. The table below shows the first-half and second-half offensive production (measured in total yards gained per half)
for the past six games.
 $\begin{array}{lcccccc}
\hline &{\text { Game }} \
& 1 & 2 & 3 & 4 & 5 & 6 \
 \text { First half yards } & 99 & 127 & 131 & 106 & 112 & 144 \
\text { Second half yards } & 89 & 111 & 129 & 92 & 103 & 137 \
\hline
\end{array}$

State a conclusion using the $\alpha = 0.02$ level of significance.
A) Reject $H _ { 0 }$. The mean offensive production appears to decrease from the first half to the second half.
B) Do not reject $H _ { 0 }$. There is insufficient evidence to conclude that the mean offensive production decreases from the first to the second half.

Quizplus · Accepted Answer

The data shows a consistent decrease in offensive production from the first half to the second half across all six games, suggesting a significant decrease in performance.

The Football Coach at State University Wishes to Determine If