Proper Nutrition Is Essential for Aircraft Pilots, Given the Demands

Proper nutrition is essential for aircraft pilots, given the demands of their job.
Previous studies have indicated that United States Air Force pilots do not regularly
eat breakfast, and thus may have low blood glucose levels after fasting at night. To
investigate the potential for danger, 8 pilots were selected for study in flight
simulators. Each pilot participated in two trials and they tried a different drink, either
Drink A (high carbohydrate) or Drink B (low carbohydrate) in each trial. The order in
which the drinks were tried was determined at random. The second trial was
conducted 2 days after the first trial, so that any effects of the first drink were
eliminated. After consuming one of the drinks, the pilots were subjected to a variety
of attitude recovery tasks. (An attitude recovery task is one where the pilot must
return to wings-level flight.) The times to recovery are shown in the table below.
Graphical displays of the data indicate that the t-procedure is appropriate. Time to Wings Level (sec)
$\begin{array} { c c c c c c c c c } \text { Pilot } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \text { Drink A } & 11.05 & 10.35 & 10.73 & 9.14 & 13.61 & 11.46 & 11.45 & 12.31 \\ \text { Drink B } & 10.51 & 10.73 & 15.85 & 8.55 & 12.65 & 15.77 & 8.96 & 9.18 \end{array}$
Do these data provide convincing evidence that the mean attitude recovery time differs for the two drinks? Provide appropriate statistical justification for your conclusion.