Reconsider the previous exercises about memorization with and without music. The statistic used was the mean of the difference in words memorized (no music ˆ’ music). Explain how the following things would change (or not) if we used the mean of the (music ˆ’ no music) as the statistic when the test was conducted?
a. Observed statistic
b. Alternative hypothesis
c. p-value
d. Confidence interval

Data from previous question

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 ˆ’ with music) is 0 (μ_d = 0).
Alternative: The average of the difference in number of words memorized (no music ˆ’ with music) is greater than 0 (μ_d > 0).
The students found the following results in terms of number of words memorized:

Transcribed Image Text:

No music With music Difference Mean 2.30 12.80 10.50 Standard deviation 3.15 3.38 3.76