which z - values correspond to the outside 10% of the standard normal distribution? round your answers to…

Explanation:

Step1: Determine the area in each tail

Since the outside area is 10%, the area in each tail is $\frac{10%}{2}=0.05$.

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

We look for the z - value corresponding to an area of $0.05$ in the left - hand tail and an area of $1 - 0.05=0.95$ in the right - hand tail. Looking up in the standard normal distribution table (z - table), the z - value corresponding to an area of $0.05$ is approximately $z=- 1.645$ and the z - value corresponding to an area of $0.95$ is approximately $z = 1.645$.

Answer:

$z<-1.645$ or $1.645 < z$