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6.1 Exercise 11

Avg difficulty 2.5

From 1984 to 1985, the mean height of 15 to 18-year-old males from Chile was 172.36 cm, and the standard deviation was 6.34 cm. Let Y = the height of 15 to 18-year-old males in 1984 to 1985. Then Y ~ N(172.36, 6.34).

  1. About 68% of the y values lie between what two values? These values are ________________. The z-scores are ________________, respectively.
  2. About 95% of the y values lie between what two values? These values are ________________. The z-scores are ________________ respectively.
  3. About 99.7% of the y values lie between what two values? These values are ________________. The z-scores are ________________, respectively.

OpenStax Introductory Statistics 2e, 6.1 The Standard Normal Distribution, exercise 11

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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.