A researcher wishes to determine if students are able to complete a certain puzzle more quickly while exposed to a pleasant floral scent.  Suppose the time (in seconds) needed for high school students to complete the puzzle while exposed to the scent follows a normal distribution with mean m and standard deviation s = 4.  Suppose also, that in the general population of all high school students, the time needed to complete the puzzle follows a normal distribution with mean 80 and standard deviation s = 4.  The researcher, therefore, decides to test the hypotheses   H0: m = 80          Ha: m < 80.   To do so, the researcher has 10,000 high school students complete the puzzle in the presence of the floral scent.  The mean time for these students is  = 80.2 seconds and the P-value is less than 0.0001.  1. It is appropriate to conclude which of the following?   A) The researcher has proved that for high school students a pleasant floral scent substantially improves the time it takes to complete the puzzle.   B) The researcher has strong evidence that for high school students a pleasant floral scent improves the time it takes to complete the puzzle.   C) The researcher has moderate evidence that for high school students a pleasant floral scent substantially improves the time it takes to complete the puzzle.   D) None of the above.  With such a large sample size, statistically significant results may not be of any practical importance.

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A researcher wishes to determine if students are able to complete a certain puzzle more quickly while exposed to a pleasant floral scent.  Suppose the time (in seconds) needed for high school students to complete the puzzle while exposed to the scent follows a normal distribution with mean m and standard deviation s = 4.  Suppose also, that in the general population of all high school students, the time needed to complete the puzzle follows a normal distribution with mean 80 and standard deviation s = 4.  The researcher, therefore, decides to test the hypotheses

 

H0: m = 80          Ha: m < 80.

 

To do so, the researcher has 10,000 high school students complete the puzzle in the presence of the floral scent.  The mean time for these students is  = 80.2 seconds and the P-value is less than 0.0001. 

1.

It is appropriate to conclude which of the following?

 

A)

The researcher has proved that for high school students a pleasant floral scent substantially improves the time it takes to complete the puzzle.

 

B)

The researcher has strong evidence that for high school students a pleasant floral scent improves the time it takes to complete the puzzle.

 

C)

The researcher has moderate evidence that for high school students a pleasant floral scent substantially improves the time it takes to complete the puzzle.

 

D)

None of the above.  With such a large sample size, statistically significant results may not be of any practical importance.

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