which z - values correspond to the outside 30% of the standard normal distribution? round your answers to…

Explanation:

Step1: Determine the area in each tail

The outside 30% means 15% in each tail. So the area to the left of the lower - z value and to the right of the upper - z value is 0.15.

Step2: Use the standard normal table (z - table)

We look for the z - value corresponding to an area of 0.15 in the body of the standard normal table. The z - value for an area of 0.15 is approximately $z=- 1.036$. Since the standard normal distribution is symmetric, the z - value for the right - hand tail (where the area to the right is 0.15) is $z = 1.036$.

Answer:

$z < - 1.036$ or $1.036 < z$