Jeffrey is an eight-year-old, who used to believe that his meantime for swimming the 25-yard freestyle was 16.43 seconds. Jeffre
y’s 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 meantime was 16 seconds. Frank thought that the goggles helped Jeffrey to swim faster than the 16.43 seconds. Conduct a hypothesis test using a preset-0.05.
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Completing the square gives
At the point on the graph along the axis of symmetry, the squared term vanishes, so that when , we have
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