which z - values correspond to the outside 50% of the standard normal distribution? round your answers to…

Explanation:

Step1: Determine the area in each tail

Since the outside area is 50%, the area in each tail is $\frac{50%}{2}= 0.25$.

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

We look for the z - value corresponding to an area of $0.25$ in the left - hand tail of the standard normal distribution. Looking up the value in the z - table, the z - value for an area of $0.25$ is approximately $z=- 0.674$. For the right - hand tail, the area to the left of the z - value is $1 - 0.25=0.75$. Looking up this value in the z - table, the z - value is approximately $z = 0.674$.

Answer:

$z<-0.674$ or $0.674 < z$