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Back to 7.2 The Central Limit Theorem for Sums (Optional)

7.2 Exercise 3

Avg difficulty 2.5

In a recent study reported Oct. 29, 2012, the mean age of tablet users is 34 years. Suppose the standard deviation is 15 years. The sample size is 50.

  1. What are the mean and standard deviation for the sum of the ages of tablet 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 Statistics, 7.2 The Central Limit Theorem for Sums (Optional), exercise 3

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