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Back to 7.1 The Central Limit Theorem for Sample Means (Averages)

7.1 Exercise 8

Avg difficulty 2.5

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 of 60.

  1. What are the mean and standard deviation for the sample mean number of app engagement minutes by a tablet user?
  2. What is the standard error of the mean?
  3. Find the 90th percentile for the sample mean time for app engagement for a tablet user. Interpret this value in a complete sentence.
  4. Find the probability that the sample mean is between eight minutes and 8.5 minutes.

OpenStax Statistics, 7.1 The Central Limit Theorem for Sample Means (Averages), exercise 8

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