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A recent research study of undergraduate students analyzed

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A recent research study of undergraduate students analyzed [#permalink] New post 04 Aug 2012, 15:09
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34% (02:39) correct 65% (01:44) wrong based on 3 sessions
A recent research study of undergraduate students analyzed the effects of music on human emotions. Each of the
200 participants attended at least 1 two-hour concert of classical music per week over the course of 12 weeks of
their spring semester. At the end of the experiment, all of the students filled out a questionnaire assessing their
emotional state. Based on the results of the questionnaires, all of the 10 students who attended the greatest
number of concerts reported lower stress levels and higher satisfaction with their lives. Also, most of the 20
students who attended the fewest number of concerts reported below-average levels of emotional comfort.

Which of the following must be true based on the evidence presented above?

A) Most of the 200 participants improved their emotional state and lowered their stress levels.
B) During each week of the experiment, the participants spent at least 2 hours less on their academic work as a result
of concert attendance.
C) Listening to classical music for at least 2 hours per week improves the emotional well-being of the majority of
young adults.
D) More than 6 participants attended at least 14 concerts during the course of the experiment.
E) At least some of the students participated in the study in order to gain free access to classical concerts.
[Reveal] Spoiler: OA

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Re: A recent research study of undergraduate students analyzed [#permalink] New post 05 Aug 2012, 05:23
How the hell is it D ?
How ???
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Re: A recent research study of undergraduate students analyzed [#permalink] New post 05 Aug 2012, 05:32
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now figured it out.
All attended atleast 12 concerts . as all attended atleast one concert per week.
so bottom 20 attended 12 concerts each. ( at least )
middle 170 have to attend atleast 1 more than the least number that is 12 and one less than the highest number. That is they attended 13 atleast.
top 10 has to attend atleast one more that the middle 170 that is they attended atleast 14 ..
Hence more that 6 people attended atleast 14 concers
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Re: A recent research study of undergraduate students analyzed [#permalink] New post 05 Aug 2012, 17:41
mandyrhtdm wrote:
now figured it out.
All attended atleast 12 concerts . as all attended atleast one concert per week.
so bottom 20 attended 12 concerts each. ( at least )
middle 170 have to attend atleast 1 more than the least number that is 12 and one less than the highest number. That is they attended 13 atleast.
top 10 has to attend atleast one more that the middle 170 that is they attended atleast 14 ..
Hence more that 6 people attended atleast 14 concers

Well explained, mandyrhtdm!

Inference problems--characterized by language in the question stem like "based on the evidence presented above"--ask you to accept the information in the stimulus as fact, and draw conclusions from it. When the facts are abstract or complex, it can be very difficult to predict an answer. But when there are numbers in the stem, it's often the case that the correct answer presents itself to a little mathematical reasoning!

Here, because we have "20" attending the "fewest" number of concerts, and "10 attending the "most" number of concerts, we have to have the remaining 170 somewhere in the middle. And since the fewest possible number of concerts is 12, the middle 170 must have each attended at least 13 concerts--and, accordingly, the remaining 10 have each attended an absolute floor of 14 concerts. (D) is correct.

For the record: (A) isn't supported--we have information on 30 out of 200, so there is no way we can support a "most" claim. (B) is out of scope; we don't know where the hours come from, not to mention that it's possible students are studying at the concerts! (C) also goes may beyond the scope of the stimulus. Finally, (E) speculates baselessly on the motivation of students. This is a reasonable supposition, but it's not actually based on anything in the text!

Best of luck studying!

Regards,
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Re: A recent research study of undergraduate students analyzed [#permalink] New post 05 Aug 2012, 22:01
A) Most of the 200 participants improved their emotional state and lowered their stress levels. - This cannot be true as the evidence states that top 10 group experienced less stress and most of the bottom 20 experienced below average level of comfort. The rest 170 may or may not have experienced any change in their emotional well being - Incorrect
B) During each week of the experiment, the participants spent at least 2 hours less on their academic work as a result of concert attendance. - It is already stated in the passage that 1 two-hour concert is mandatory for all participants. The participants may or may not have cut back their academic work for attending concert. - Incorrect
C) Listening to classical music for at least 2 hours per week improves the emotional well-being of the majority of young adults. - As already stated in the explanation for (A), the results donot propose a concrete theory on whether listening to classical music improves emotional well-being - Incorrect
D) More than 6 participants attended at least 14 concerts during the course of the experiment. - The 10-170-20 split explains this scenario perfectly - Correct
E) At least some of the students participated in the study in order to gain free access to classical concerts. - Highly Unlikely scenario. The whole arragement might have been part of an assignment too. Too many unknowns. - Incorrect
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Re: A recent research study of undergraduate students analyzed [#permalink] New post 09 Aug 2012, 11:08
We need only 1 statement to answer this one.

the statement is- all of the 10 students who attended the greatest
number of concerts reported lower stress levels and higher satisfaction with their lives


greatest no of concerts must be >1 i.e minimum 2 because everybody has attended one session per week.

thus 20 students attended minimum 12 *2=24 sessions.

thus this easily more that what D states.

Tell me if I have a faulty logic.
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Re: A recent research study of undergraduate students analyzed   [#permalink] 09 Aug 2012, 11:08
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