LINK TO TEXT Based on your confidence interval from part (a), is there strong ev
ID: 3353608 • Letter: L
Question
LINK TO TEXT
Based on your confidence interval from part (a), is there strong evidence that people can memorize words better when music is not playing compared to when it is?
7.2.15
Does listening to music affect how many words you can memorize? Student researchers tried to answer this
question by having 20 subjects listen to music while trying to memorize words and also had the same 20 subjects try to memorize words when not listening to music. They randomly determined which condition was done first for each of their subjects. Here are their hypotheses:
Null: The average of the difference in number of words memorized (no music with music) is 0 (d = 0).
Alternative: The average of the difference in number of words memorized (no music with music) is greater than 0 (d > 0).
The students found the following results in terms of number of words memorized:
Explanation / Answer
Paired T-Test and CI
N Mean StDev SE Mean
Difference 20 3.700 3.080 0.689
95% CI for mean difference: (2.259, 5.141)
T-Test of mean difference = 0 (vs ? 0): T-Value = 5.37 P-Value = 0.000
b)
Yes, because the confidence interval does not include 0
No music With music Difference Mean 13.9 10.2 3.7 Standard deviation 3.15 3.07 3.08Related Questions
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