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Nine randomly selected teens were asked how many hours per day they spend interacting with others...

Nine randomly selected teens were asked how many hours per day they spend interacting with others through social media, such as Instagram and Snapchat. The mean time was 4.8 hours and the standard deviation was 1.4 hours. Find the 90% confidence interval for the mean time. Assume this variable is normally distributed

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Answer #1

n = sample size = 9

= sample mean = 4.8

s = sample SD = 1.4

SE = s/ = 1.4/ = 0.4950

= 0.10

ndf = 9 - 1 = 8

From Table, critical value of t = 1.8595

90 % Confidence interval:

t SE

= 4.8 (1.8595 X 0.4950)

= 4.8 0.9204

= (3.8796 , 5.7204)

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