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Back to 7.2 The Central Limit Theorem for Sums

7.2 Exercise 3

Avg difficulty 2.5

In a recent study, it was reported that the mean age of iPad users is 34 years. Suppose the standard deviation is 15 years. The sample of size is 50.

  1. What are the mean and standard deviation for the sum of the ages of iPad users? What is the distribution?
  2. Find the probability that the sum of the ages is between 1,500 and 1,800 years.
  3. Find the 80th percentile for the sum of the 50 ages.

OpenStax Introductory Statistics 2e, 7.2 The Central Limit Theorem for Sums, exercise 3

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.