Consider the standard normal distribution a use the z table

Question

Consider the standard normal distribution.

a) Use the Z table to verify that q₁ is approximately -0.67 and q₃ is approximately 0.67.

b) Find the interquartile range for Z, and explain what this means.

c) Verify that the inner fences for Z are f₁ = -2.68 and f₃ = 2.68.

d) Verify that the probability that a standard normal random variable will fall beyond the inner fences is approximately 0.007.

e) Find the outer fences for Z.

f) Find the probability that a standard normal random variable will fall beyond the outer fences.