The Standard Normal Distribution · Example 6
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).
(a) About 68% of the y values lie between what two values? These values are ________________. The z-scores are ________________, respectively.
(b) About 95% of the y values lie between what two values? These values are ________________. The z-scores are ________________ respectively.
(c) 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 · Example 6
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