A researcher wishes to determine if students are able to complete a certain puzzle more quickly while listening to music. Suppose the mean time to complete this puzzle without listening to music is 30 seconds with a standard deviation of 4 seconds. The researcher has 10,000 randomly selected college students complete the puzzle while listening to music. The mean time for these students is 79.8 seconds. The researcher conducts the following hypothesis test: Ho: = 80 vs. Hap< 80 and calculates a P-value that is less than 0.0001. It is appropriate to conclude which of the following? O With such a large sample size, statistically significant differences may not be of any practical Importance. O The researcher has strong evidence that, for college students, listening to music substantially improves the time to complete the puzzle. O The researcher has proved that for college students, listening to music substantially improves the time to complete a puzzle. O All college students should definitely listen to music when completing the puzzle.

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A researcher wishes to determine if students are able to complete a certain puzzle more quickly while listening to music. Suppose the mean time to complete this puzzle without listening to music is
80 seconds with a standard deviation of 4 seconds. The researcher has 10,000 randomly selected college students complete the puzzle while listening to music. The mean time for these students is
79.8 seconds. The researcher conducts the following hypothesis test:
Ho: H = 80 vs. Ha: p < 80
and calculates a P-value that is less than 0.0001.
It is appropriate to conclude which of the following?
O With such a large sample size, statistically significant differences may not be of any practical Importance.
O The researcher has strong evidence that, for college students, listening to music substantially improves the time to complete the puzzle.
O The researcher has proved that, for college students, listening to music substantially improves the time to complete a puzzle.
O All college students should definitely listen to music when completing the puzzle.
Transcribed Image Text:A researcher wishes to determine if students are able to complete a certain puzzle more quickly while listening to music. Suppose the mean time to complete this puzzle without listening to music is 80 seconds with a standard deviation of 4 seconds. The researcher has 10,000 randomly selected college students complete the puzzle while listening to music. The mean time for these students is 79.8 seconds. The researcher conducts the following hypothesis test: Ho: H = 80 vs. Ha: p < 80 and calculates a P-value that is less than 0.0001. It is appropriate to conclude which of the following? O With such a large sample size, statistically significant differences may not be of any practical Importance. O The researcher has strong evidence that, for college students, listening to music substantially improves the time to complete the puzzle. O The researcher has proved that, for college students, listening to music substantially improves the time to complete a puzzle. O All college students should definitely listen to music when completing the puzzle.
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