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 regularlyeat breakfast, and thus may have low blood glucose levels after fasting at night. Toinvestigate the potential for danger, 8 pilots were selected for study in flightsimulators. Each pilot participated in two trials and they tried a different drink, eitherDrink A (high carbohydrate) or Drink B (low carbohydrate) in each trial. The order inwhich the drinks were tried was determined at random. The second trial wasconducted 2 days after the first trial, so that any effects of the first drink wereeliminated. After consuming one of the drinks, the pilots were subjected to a varietyof attitude recovery tasks. (An attitude recovery task is one where the pilot mustreturn 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. Do these data provide convincing evidence that the mean attitude recovery timediffers for the two drinks?
Provide appropriate statistical justification for yourconclusion.
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