Question

You want to estimate the mean amount of time internet users spend on Facebook each month. How many internet users must be surveyed to be 90% confident that your sample mean is within 10 minutes of the population mean? Use 210 minutes as an estimate of the population standard deviation.

Please be detailed and thorough!!

Answer #1

We know, ~ N(0,1)

The margin of error of 90% confidence interval of the population mean is =

Given that, = 10, where, = 1.645, = 210

Thus, solving above, n = 1194 (approximately).

Hence, the required sample size is approximately 1194.

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