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OpenStax, Statistics §7.2 The Central Limit Theorem for Sums (Optional) · Example 3 · Statistics · Sampling distributions

The Central Limit Theorem for Sums (Optional) · Example 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 are the mean and standard deviation for the sums?
(b) Find the 95^th percentile for the sum of the sample. Interpret this value in a complete sentence.
(c) Find the probability that the sum of the sample is at least 10 hours.

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OpenStax, Statistics · §7.2 The Central Limit Theorem for Sums (Optional) · Example 3

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