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A Researcher Wishes to Determine If Students Are Able to Complete

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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 and standard deviation = 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 = 4. The researcher, therefore, decides to test the hypotheses:
H0: = 80 Ha: < 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 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 <font face= symbol ></font> and standard deviation <font face= symbol ></font> = 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 <font face= symbol ></font> = 4. The researcher, therefore, decides to test the hypotheses: H<sub>0</sub>: <font face= symbol ></font> = 80 H<sub>a</sub>: <font face= symbol ></font> < 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   <sub> </sub> = 79.8 seconds and the P-value is less than 0.0001. 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 the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.

= 79.8 seconds and the P-value is less than 0.0001.
It is appropriate to conclude which of the following?


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