3. A researcher is investigating the effect of background noise on classroom performance for children aged 10 to 12. One class of N = 15 students who listens to calming music each day while working on arithmetic problems is chosen as the experimental group. Another class of N = 16 students serves as a control group with no music. Accuracy scores are measured for each child, and the average for students in the music condition is X = 86.4 with SS = 1550. For the no-music condition, the average is X= 78.8 with SS = 1235.

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3. A researcher is investigating the effect of background noise on classroom performance for children aged 10 to
12. One class of N = 15 students who listens to calming music each day while working on arithmetic problems
is chosen as the experimental group. Another class of N = 16 students serves as a control group with no music.
Accuracy scores are measured for each child, and the average for students in the music condition is X = 86.4
with SS = 1550. For the no-music condition, the average is X= 78.8 with SS = 1235.
Transcribed Image Text:3. A researcher is investigating the effect of background noise on classroom performance for children aged 10 to 12. One class of N = 15 students who listens to calming music each day while working on arithmetic problems is chosen as the experimental group. Another class of N = 16 students serves as a control group with no music. Accuracy scores are measured for each child, and the average for students in the music condition is X = 86.4 with SS = 1550. For the no-music condition, the average is X= 78.8 with SS = 1235.
(d) Compute and interpret a Bayes factor for the model (either H₁ or H₁) with the best predictive adequacy.
(e) Compute and interpret the posterior model probability for the winning model chosen in part (d).
Transcribed Image Text:(d) Compute and interpret a Bayes factor for the model (either H₁ or H₁) with the best predictive adequacy. (e) Compute and interpret the posterior model probability for the winning model chosen in part (d).
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