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OpenStax, Introductory Statistics 2e §7.2 The Central Limit Theorem for Sums · Try It 3 · Statistics · Sampling distributions

The Central Limit Theorem for Sums · Try It 3

The mean number of minutes for app engagement by a table use 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 ten 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.

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OpenStax, Introductory Statistics 2e · §7.2 The Central Limit Theorem for Sums · Try It 3

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