Statistics › Section G · The central limit theorem › Topic G.3

Using the central limit theorem

The CLT gives the recipe; this topic runs it in the kitchen. A checklist for when the theorem applies, the choice between averages and sums, and the reading of rare results - the bridge every later inference topic crosses.

In this topic

  • The CLT in action
  • The checklist before computing
  • Choose the statistic by the question
  • Worked example: average daily loaves
  • Worked example: a month's total loaves
  • Reading a rare result
  • The law of large numbers
  • When σ is unknown
  • Common mistakes to avoid
  • Key takeaways

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