Question

In: Statistics and Probability

In a study conducted by some Statistics students, 69 people were randomly assigned to listen to...

In a study conducted by some Statistics students, 69 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 33 19 17
Mean 10.74 9.14 11.67
SD 4.34 2.98 4.34

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. Let group M correspond to Mozart listeners and group R correspond to rap listeners. Write the null and alternative hypotheses.

b. Find p and t values

c. State the conclusion

d.Now compare the group that listened to Mozart with the group that listened to no music. Create a 90 % a 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.

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