A researcher wishes to determine if people are able to complete a certain pencil and paper maze

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A researcher wishes to determine if people are able to complete a certain pencil and paper maze more quickly while listening to classical music. Suppose previous research has established that the mean time needed for people to complete a certain maze (without music) is 40 seconds. The researcher decides to test the hypotheses H0: μ = 40 versus Ha: μ < 40, where μ = the time in seconds to complete the maze while listening to classical music. To do so, the researcher has 10,000 people complete the maze with classical music playing. The mean time for these people is x¯ = 39.92 seconds, and the P-value of his significance test is 0.0002. Explain why this result is statistically significant, but not practically important.

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The Practice Of Statistics

ISBN: 9781319113339

6th Edition

Authors: Daren S. Starnes, Josh Tabor

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