which z - values correspond to the outside 40% of the standard normal distribution? round your answers to…

which z - values correspond to the outside 40% of the standard normal distribution? round your answers to the nearest thousandth. z < or < z

which z - values correspond to the outside 40% of the standard normal distribution? round your answers to the nearest thousandth. z < or < z

Answer

Explanation:

Step1: Determine the area in each tail

The outside 40% means 20% in each tail. So the area to the left of the lower - z value is 0.20 and the area to the right of the upper - z value is 0.20. The area to the left of the upper - z value is (1 - 0.20=0.80).

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

Looking up the area of 0.20 in the z - table, the z - value corresponding to an area of 0.20 is approximately (z_1=- 0.842). Looking up the area of 0.80 in the z - table, the z - value corresponding to an area of 0.80 is approximately (z_2 = 0.842).

Answer:

(z<-0.842) or (0.842 < z)