The Central Limit Theorem for Sums (Optional) · Try It 3
The mean number of minutes for app engagement by a tablet user is 8.2 minutes. Suppose the standard deviation is one minute. Take a sample size of 70.
(a) What is the probability that the sum of the sample is between seven hours and 10 hours? What does this mean in context of the problem?
(b) Find the 84^th and 16^th percentiles for the sum of the sample. Interpret these values in context.
OpenStax, Statistics · §7.2 The Central Limit Theorem for Sums (Optional) · Try It 3
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