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Back to 7.1 The Central Limit Theorem for Sample Means

7.1 Exercise 5

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 – \overset{–}{X} = _____________
  4. X – \overset{–}{X} ~ _____(_____,_____)
  5. Find the first quartile for the average song length.
  6. The IQR(interquartile range) for the average song length is from _______–_______.

OpenStax Introductory Business Statistics 2e, 7.1 The Central Limit Theorem for Sample Means, exercise 5

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.