Question

16. 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

4.9

4.9

3.8

4.2

5.4

4.2

4.5

(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

a)

sample mean 'x̄=		4.53
sample size    n=		8
std deviation σ=		0.512
std error ='sx=s/√n=0.512/√8=		0.181

for 95% CI; and 7 df, critical t=		2.365
margin of error E=t*std error                            =		0.428
lower bound=sample mean-E =		4.10
Upper bound=sample mean+E=		4.95

from above 95% confidence interval for population mean =(4.10 to 4.95 hours per day)