The Football Coach at State University Wishes to Determine If

question 32

Multiple Choice

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.