Lemma
EasyNormal distribution
OpenStax, Statistics §6.1 The Standard Normal Distribution · Example 7 · Statistics · Normal distribution

The Standard Normal Distribution · Example 7

From 1984–1985, 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 1984–1985. Then Y ~ N(172.36, 6.34).

(a) About 68 percent of the y values lie between what two values? These values are ________________. The z-scores are ________________, respectively.
(b) About 95 percent of the y values lie between what two values? These values are ________________. The z-scores are ________________ respectively.
(c) About 99.7 percent of the y values lie between what two values? These values are ________________. The z-scores are ________________, respectively.

~5 minWritten answer · compare with the solution

OpenStax, Statistics · §6.1 The Standard Normal Distribution · Example 7

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.