6.1 Exercise 12

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).

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