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Mathematics, 17.07.2021 05:10 jasminejbronner

Jeffrey, as an eight-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, 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 seconds. Frank thought that the goggles helped Jeffrey to swim faster than the 16.43 seconds. The results for a test of a single population proportion are as follows: H0: mu = 16.43, Ha: mu < 16.43, alpha = 0.05, p-value = 0.0187. Interpret the results and state a conclusion in simple, non-technical terms.​

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