A study is conducted to determine the effectiveness of mental exercises on short-term memory. A randomized comparative experiment is conducted and the number of items recalled on a short-term memory test is recorded for 25 individuals who practiced mental exercises and 35 individuals who did not. The individuals who practiced mental exercises recalled 16.0 items on average with a variance of 6.25. The individuals that did not do any mental exercises recalled 12.5 items on average with a variance of 7.29. Assuming the population of items recalled is Normal for each group, what is the standard deviation of the sampling distribution of the difference in mean items recalled for the two groups? (A) √6.25+7.29 6.25 7.29 + 35 (B) V 25 (C) √6.25-7.29 (D) (E) 6.25 7.29 25 35 6.25 7.29 + 60 60

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A study is conducted to determine the effectiveness of mental exercises on short-term memory. A
randomized comparative experiment is conducted and the number of items recalled on a short-term
memory test is recorded for 25 individuals who practiced mental exercises and 35 individuals who did
not. The individuals who practiced mental exercises recalled 16.0 items on average with a variance of
6.25. The individuals that did not do any mental exercises recalled 12.5 items on average with a
variance of 7.29. Assuming the population of items recalled is Normal for each group, what is the
standard deviation of the sampling distribution of the difference in mean items recalled for the two
groups?
(A)
(B)
(C)
(D)
(E)
√6.25 +7.29
16.25 7.29
+
V 25 35
√6.25-7.29
16.25 7.29
25 35
6.25 7.29
+
60 60
Transcribed Image Text:A study is conducted to determine the effectiveness of mental exercises on short-term memory. A randomized comparative experiment is conducted and the number of items recalled on a short-term memory test is recorded for 25 individuals who practiced mental exercises and 35 individuals who did not. The individuals who practiced mental exercises recalled 16.0 items on average with a variance of 6.25. The individuals that did not do any mental exercises recalled 12.5 items on average with a variance of 7.29. Assuming the population of items recalled is Normal for each group, what is the standard deviation of the sampling distribution of the difference in mean items recalled for the two groups? (A) (B) (C) (D) (E) √6.25 +7.29 16.25 7.29 + V 25 35 √6.25-7.29 16.25 7.29 25 35 6.25 7.29 + 60 60
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