Aaron, as a fifteen-year-old, established a mean time of 16.43 seconds for swimming the 25-yard freestyle, with a standard deviation of 0.8 seconds. His dad, Sam, thought that Aaron could swim the 25-yard freestyle faster using goggles. Sam bought Aaron a new pair of expensive goggles and timed Aaron for 15 25-yard freestyle swims. For the 15 swims, Aaron’s mean time was 16 seconds. Sam thought that the goggles helped Aaron to swim faster than the 16.43 seconds. Question 1: Conduct a hypothesis test using a preset  = 0.05. Assume that the swim times for the 25-yard freestyle are normal.

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