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Back to 7.3 Using the Central Limit Theorem

7.3 Exercise 45

Avg difficulty 2.5


Use the following to answer the next two exercises: The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations.

What's the approximate probability that the average price for 16 gas stations is over $4.69?

  1. almost zero
  2. 0.1587
  3. 0.0943
  4. unknown

OpenStax Introductory Statistics 2e, 7.3 Using the Central Limit Theorem, exercise 45

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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.