Question

Find z such that 95% of the area under the standard normal curve lies between –z and z.

Answer 1

 

The area lies between –z and z is 95%

We find the corresponding area in the left tail

(Area left of –z) = 1 – 0.95/2 = 0.025

So, P(Z ≤ z) = 0.025.

 

From the standard normal table value we get z = -1.960

Therefore, we conclude that 98% of the area under the standard normal curve lies between the z values -1.960and 1.960.

Therefore, we conclude that 98% of the area under the standard normal curve lies between the z values -1.960and 1.960.