In a 2007 study at Michigan State University, researchers examined the relations

Question

In a 2007 study at Michigan State University, researchers examined the relationship between use of Facebook and the formation and maintenance of social capital (defined to be the resources accumulated through the relationships among people). In a random sample of size 286, the researchers found that the average amount of time MSU undergraduate students spent on the internet was 2 hour and 56 minutes per day. Suppose the standard deviation is 1.54 hours. Construct a 95% CI for the population mean time spent per day on the internet. Interpret the confidence interval.

Explanation / Answer

n = 286 , Xbar = 2 hour 56 min = 176 min

sd = 1.54 hours = 1.54 *60 = 92.4 min

since n >> 30

we use normal distribution

z = 1.96 for 95 % CI

CI = (xbar - z *s/sqrt(n)) , (xbar + z *s/sqrt(n)) ,

=(176 - 1.96* 92.4/sqrt(286)), (176 + 1.96* 92.4/sqrt(286))

=(165.29109, 186.70890)

we are 95 % confident that population mean time spent per day on the internet is between these two value

Please rate my soluton

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