Listening to music has long been thought to enhance intelligence, especially during infancy and childhood. To test whether this is true, a researcher records the number of hours that eight high-performing students listened to music per day for 1 week. The data are listed in the table.
Music Listening per Day (in hours)
4.2
4.8
5.0
3.8
4.2
5.5
4.1
4.4
(a) Find the confidence limits at a 95% CI for this sample.
(b) Suppose the null hypothesis states that students listen to 3.5 hours of music per day. What would the decision be for a two-tailed hypothesis test at a .05 level of significance?