05
Mar
Standard Normal Curve Area Table. Z 000 001 002 003 004 005 006 007 008 009 00 00000 00040 00080 00120 00160 00199 00239 00279 00319 00359 01 00398 00438 00478 00517 00557 00596 00636 00675 00714 00753. Using the z-table we will find the area to the left of z 153. With the normal curve you rather look up either one or two numbers in a table known as z-values and if required you can perform a subtraction step. Referring to the associated row and column well nd that P0 Z 093 03238.
Since the total area under the bell curve is 1 as a decimal value which is equivalent to 100 we subtract the area from the table from 1. Areas under the standard normal curve positive Z Second decimal place in z z 000 001 002 003 004 005 006 007 008 009 00 05000 05040 05080 05120 05160 05199 05239 05279 05319 05359 01 05398 05438 05478 05517 05557 05596 05636 05675 05714 05753. You can also use the table below. TABLE 1 Normal Curve Areas The entries in the body of the table correspond to the area shaded under the normal curve. I work through some examples of finding areas under the standard normal curve using the standard normal table. Between 0 and Z option 0 to Z less than Z option Up to Z greater than Z option Z onwards It only display values to 001.
The vertical line dividing the black shaded region from the white un-shaded region is z 153.
In your homeworks and tests you will encounter two types of questions related to the normal distribution. The table value for Z is 1 minus the value of the cumulative normal distribution. The area under the normal curve to the left of z 153 would be graphically represented like this. Areas under the standard normal curve positive Z Second decimal place in z z 000 001 002 003 004 005 006 007 008 009 00 05000 05040 05080 05120 05160 05199 05239 05279 05319 05359 01 05398 05438 05478 05517 05557 05596 05636 05675 05714 05753. Z 00 01 02 03 04 05 06 07 08 09 00 50000 50399 50798 51197 51595 51994 52392 52790 53188 53586 01 53983 54380 54776 55172 55567 55962 56356 56749 57142 57535. Curve above 0 and to the left of Z.