In a study conducted by some Statistics? students, 55 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. The summary statistics for each group are shown in the table. Complete parts a and b.

                     Rap         Mozart         No Music

Count           27            15                 13

Mean           9.43          8.75              14.17

SD                3.83          3.58              5.08

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.

Test the hypothesis. (Find t and p)

State your conclusion. Use alpha equals 0.05.

b) Now compare the group that listened to Mozart with the group that listened to no music. Create a 90% confidence interval for the mean difference in memory score between students who listen to Mozart and those who listen to no music at all. Interpret your interval.