Question

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) 4.3 4.8 5.1 3.8 4.3 5.4 4.2 4.3 (a) Find the confidence limits at a 95% CI for this one-independent sample. (Round your answers to two decimal places.) to hours per day

Answer 1

Here the 95% confidence interval will be calculated as follows.

where = 4.525, = sd (x)/ = 0.1868441 and = 2.364624.

So, the confidence interval becomes (4.525 - 2.364624*0.1868441 , 4.525 + 2.364624*0.1868441)

= (4.083184, 4.966816)

(4.08, 4.97)