Proper nutrition is essential for aircraft pilots, given the demands of their job.Previous studies have indicated that United States Air Force pilots do notregularly eat breakfast, and thus may have low blood glucose levels after fastingat night. To investigate the potential for danger, 8 pilots were selected for studyin flight simulators. Each pilot participated in two trials and they tried a differentdrink, either Drink A (high carbohydrate) or Drink B (low carbohydrate) in eachtrial. The order in which the drinks were tried was determined at random. Thesecond trial was conducted 2 days after the first trial, so that any effects of thefirst drink were eliminated. After consuming one of the drinks, the pilots weresubjected to a variety of attitude recovery tasks. (An attitude recovery task is onewhere the pilot must return to wings-level flight.) The duration of self-illusorymotion (time between wings-level flight and the pilot to "feel" he or she hasreturned to wings-level flight) are shown in the table below. Graphical displaysof the data indicate that it is reasonable to assume that the two "felt recoverytime" distributions are approximately normal. Do these data provide convincing evidence that the mean self-illusory motion timediffers for the two drinks?
Provide appropriate statistical justification for yourconclusion.
Correct Answer:
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