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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 online album collection is uniformly distributed from 2 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.
  6. The IQR for the average song length is _______–_______.

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

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