Lesson # 11

Front 1

Properties of Standard Normal Distribution

Back 1

1.Bell Shaped
2.Symmetric around 0 (i.e mu=0)
3.Std.dev or sigma=1 always
4.Total area is 1 or 100%
5.Values are denoted by z's or z-score
6.Has table with area under the curve to the left of a z-score

Front 2

Other imp points

Back 2

1.68-95-99.7 rule only gives us area within 3 std.dev of mean but the Std.Norm table gives us an unlimited amount of values.
2.Purpose:use table to find area under any normal curve
3.area under curve=proportion(probability) of observations under the curve.

Front 3

POINT

Back 3

Table enntry for z is the area under the std.normal curve to the left of z.

Front 4

Table Components

Back 4

1.The left column has ones and tenTHS digits of the -score
2. The heading at the top has hundreTHS digits of z score
3. Area (probability) left of a z-score is in the body of the table

Front 5

Two ways to use Std.Normal Table

Back 5

Use 1: Given z find area
Use 2: Given area find z

Front 6

Three Types of find area problems

Back 6

1.Area to left of z
2. Area to the right of z
3.Area b/w to z's

Front 7

If z score is three of more decimal places

Back 7

If so then we either round or we then use a calculator or a software package

Front 8

Point

Back 8

Z scores tell % of values under the curve and u can find that by multiplying by 100 a z-score.