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OpenStax, Introductory Statistics 2e §7.1 The Central Limit Theorem for Sample Means (Averages) · Example 5 · Statistics · Sampling distributions

The Central Limit Theorem for Sample Means (Averages) · Example 5

The mean number of minutes for app engagement by an iPad user is 8.2 minutes. Suppose the standard deviation is one minute. Take a sample of 60.

(a) What are the mean and standard deviation for the sample mean number of minutes for app engagement by an iPad user?
(b) What is the standard error of the mean?
(c) Find the 90^th percentile for the sample mean time of minutes for app engagement by an iPad user. Interpret this value in a complete sentence.
(d) Find the probability that the sample mean is between eight minutes and 8.5 minutes.

~5 minWritten answer · compare with the solution

OpenStax, Introductory Statistics 2e · §7.1 The Central Limit Theorem for Sample Means (Averages) · Example 5

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