Refer to Exercise 87.

a. Construct and interpret a 99% confidence interval for the true mean difference. If you already defined the parameter and checked conditions in Exercise 87, you don’t need to do them again here.

b. Explain how the confidence interval provides more information than the test in Exercise 87.

Exercise 87.

Does listening to music while studying help or hinder students’ learning? Two statistics students designed an experiment to find out. They selected a random sample of 30 students from their mediumsized high school to participate. Each subject was given 10 minutes to memorize two different lists of 20 words, once while listening to music and once in silence. The order of the two word lists was determined at random; so was the order of the treatments. The difference  in the number of words recalledwas recorded for each subject. The mean difference was 1.57 and the standard deviation of the differences was 2.70.

Transcribed Image Text:

305 0.200 = 20.0% (Silence Music) %3D 1526