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The Football Coach at State University Wishes to Determine If

Question 32

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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.
 Game 123456 First half yards 99127131106112144 Second half yards 8911112992103137\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 α=0.02\alpha = 0.02 level of significance.


A) Reject H0H _ { 0 } . The mean offensive production appears to decrease from the first half to the second half.
B) Do not reject H0H _ { 0 } . There is insufficient evidence to conclude that the mean offensive production decreases from the first to the second half.

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