Question

Using the standard normal distribution, find the two z-scores that that form the middle shaded region. The shaded region is symmetric about z = 0 . Round your z-scores to two decimal places.

Answer 1

Answer:

Between (-0.675, 0.675)

Step-by-step explanation:

We know that a standard normal distribution curve is bell shaped unimodal , symmetrical about mean.

for thsi standard normal variate with notation z, we get mean =0 and std deviation = 1

For the middle shaded region, we find z such that the area between -z and z is 0.50 exactly half.

From standard normal distribution table, we get that z= ±0.675

Hence between z=-0.675 and z = 0.675 we get the middle region with area equal to exactly 1/2.

Between (-0.675, 0.675)