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

7.1 Exercise 6

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. Take a sample of size n = 100.

  1. What are the mean and standard deviation for the sample mean ages of iPad users?
  2. What does the distribution look like?
  3. Find the probability that the sample mean age is more than 30 years (the reported mean age of iPad users in this particular study).
  4. Find the 95th percentile for the sample mean age (to one decimal place).

OpenStax Introductory Statistics 2e, 7.1 The Central Limit Theorem for Sample Means (Averages), exercise 6

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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.