A researcher wishes to determine if students are able to complete a certain pencil and paper maze more quickly while listening to classical music. Suppose the time (in seconds) needed for high school students to complete the maze while listening to classical music follows a Normal distribution with mean µ and standard deviation σ= 4. Suppose that also, that in the general population of all high school students, the time needed to complete the maze follows a Normal distribution with mean 40 and standard deviation σ= 4. The researcher, therefore, decides to test the hypotheses H₀: µ= 40, Ha: µ< 40 To do so, the researcher has 10,000 high school students complete the maze with classical music playing. The mean time for these students is x-bar= 39.8 seconds. It is appropriate to conclude which of the following?

A researcher wishes to determine if students are able to complete a certain pencil and paper maze more quickly while listening to classical music. Suppose the time (in seconds) needed for high school students to complete the maze while listening to classical music follows a Normal distribution with mean µ and standard deviation σ= 4. Suppose that also, that in the general population of all high school students, the time needed to complete the maze follows a Normal distribution with mean 40 and standard deviation σ= 4. The researcher, therefore, decides to test the hypotheses H₀: µ= 40, Ha: µ< 40 To do so, the researcher has 10,000 high school students complete the maze with classical music playing. The mean time for these students is x-bar= 39.8 seconds. It is appropriate to conclude which of the following?

Naim 04:11

A researcher wishes to determine if students are able to complete a certain pencil and paper maze more quickly while listening to classical music. Suppose the time (in seconds) needed for high school students to complete the maze while listening to classical music follows a Normal distribution with mean µ and standard deviation σ= 4. Suppose that also, that in the general population of all high school students, the time needed to complete the maze follows a Normal distribution with mean 40 and standard deviation σ= 4. The researcher, therefore, decides to test the hypotheses
H₀: µ= 40, Ha: µ< 40
To do so, the researcher has 10,000 high school students complete the maze with classical music playing. The mean time for these students is x-bar= 39.8 seconds. It is appropriate to conclude which of the following? 




A. The researcher has proved that, for high school students, listening to classical music substantially improves the time it takes to complete the maze.
B. Although the researcher has obtained a statistically significant result, it has little practical significance.
C. The researcher has moderate evidence that, for high school students, listening to classical music substantially improves the time it takes to complete the maze.
D. The researcher has strong evidence that, for high school students, listening to classical music substantially improves the time it takes to complete the maze.
E. None of the above.


Answer: B


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