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Listening to music has long been thought to enhance intelligence, especially dur

ID: 3319518 • Letter: L

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.

(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

Music Listening Per
Day (in hours) 4.2 4.7 5.1 3.8 4.3 5.4 4.2 4.4

Explanation / Answer

Ans:

Given that

sample size=8

sample mean=4.51

sample standard deviation=0.525

df=8-1=7

critical t value=TINV(0.05,7)=2.365

95% confidence interval for true mean

=4.51+/-2.365*0.525/sqrt(8)

=4.51+/-0.44

=(4.07, 4.95)

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