Discuss the below:
Q: A researcher had the idea that background music might enhance performance on a math test and that the effect of music might depend on whether an individual is a music lover or not. She selected 50 music lovers and 50 control participants who did not listen to music on a regular basis. Half of the participants from each group took the math test with background music and the remaining participants took the test without background music. The mean scores were, 62 (SS=25000) for the control participants without music, 53 (SS=23000) for the control participants with music, 48 (SS=22000) for the music lovers without music, and 77 (SS=26000) for the music lovers with music. Conduct an appropriate statistical anaylsis using alpha=0.05