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

7.1 Exercise 20

Avg difficulty 2.5

The length of songs in a collector’s Apple Music album collection is uniformly distributed from two to 3.5 minutes. Suppose we randomly pick five albums from the collection. There are a total of 43 songs on the five albums.

  1. In words, Χ = _________
  2. Χ ~ _____________
  3. In words, X ¯ \bar{X} = _____________
  4. X ¯ \bar{X} ~ _____(_____,_____)
  5. Find the first quartile for the average song length, X ¯ \bar{X}.
  6. The IQR (interquartile range) for the average song length, X ¯ \bar{X}, is from ___ - ___.

OpenStax Introductory Statistics 2e, 7.1 The Central Limit Theorem for Sample Means (Averages), exercise 20

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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.