Let z1 be a z score that is unknown but identifiable by position and area. if the symmetrical area between a negative z1 value and a positive z1 value in a standard normal distribution is 0.9544, then the value must be

Step-by-step explanation:

Given that z1 be a Z score that is unknown but identifiable by position and area.

Also given that the symmetrical area between a negative z1 value and a positive z1 value in a standard normal distribution is 0.9544

This can be written as

(Because of symmetry about the mean we have double area on either side)

From std normal table we can find z1 as