Nicole and Elena wanted to know if listening to music at a louder volume negatively impacts test performance. To investigate, they recruited 30 volunteers and randomly assigned 10 volunteers to listen to music at 30 decibels, 10 volunteers to listen to music at 60 decibels, and 10 volunteers to listen to music at 90 decibels. While listening to the music, each student took a 10- question math test. Here is computer output from a least-squares regression analysis using x = volume and y = number correct:

Is there convincing evidence that listening to music at a louder volume hurts test performance? Assume the conditions for inference are met.

Transcribed Image Text:

Predictor Coef SE Coef T P Constant 9.9000 0.7525 13.156 0.0000 Volume -0.0483 0.0116 -4.163 0.0003 S= 1.55781 R-Sq = 38.2% R-Sq(adj) = 36.0%