Is it a good idea to listen to music when studying for a big test? In a study conducted by some Statistics students, 62 people were randomly assigned to listen to rap music, music by Mozart, or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. Here are summary statistics for each group:
|
|
Rap
|
Mozart
|
No Music
|
|
Count
|
29
|
20
|
13
|
|
Mean
|
10.72
|
10.00
|
12.77
|
|
SD
|
3.99
|
3.19
|
4.73
|
a) Does it appear that it is better to study while listening to Mozart than to rap music? Test an appropriate hypothesis and state your conclusion.
b) Create a 90% confidence interval for the mean difference in memory score between students who study to Mozart and those who listen to no music at all. Interpret your interval.