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A researcher wishes to determine if listening to classical music improves the concentration of office workers. To investigate this, he decides to see if office workers are able to complete a certain paper and pencil maze more quickly while listening to classical music. Suppose the time (in seconds) needed for office workers to complete the maze while listening to classical music follows a Normal distribution with mean and standard deviation = 4. Suppose also that in the general population the time needed to complete the maze (without listening to classical music) follows a Normal distribution with mean 40 and standard deviation = 4. The researcher, therefore, decides to test the hypotheses.
To do so, the researcher has 10,000 office workers complete the maze with classical music playing. The mean time for these workers is = 39.8 seconds and the -value less than 0.0001. It is appropriate to conclude which of the following?A. The researcher has strong evidence that for office workers, listening to classical music substantially improves the time it takes to complete the maze.B. The researcher has proved that for office workers, listening to classical music substantially improves the time it takes to complete the maze.C. The researcher has moderate evidence that for office workers, listening to classical music substantially improves the time it takes to complete the maze.D. None of the above.
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