2.) Jeffrey, as an eight-year-old, established a mean time of 16.43 seconds for swimming the "25-yard freestyle". His dad, Frank, thought that Jeffrey could swim the "25-yard freestyle" faster using goggles. Frank bought Jeffrey a new pair of expensive goggles and timed Jeffrey for 15 "25-yard freestyle" swims. For the 15 swims, Jeffrey's mean time was 16.0 seconds with a sample standard deviation of 0.8 seconds. Frank thought that the goggles helped Jeffrey to swim faster than the 16.43 seconds. Frank’s wife is still furious over the wasted money and she is not convinced that the goggles actually make the difference and that the faster speed is just likely coincidence. Frank is asking you to set up a Hypothesis test to prove to his wife that he did NOT waste the money. Conduct a hypothesis test using a preset α = 0.05.

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