Question

Use the Θ Cumulative Normal Distribution Table to find the z-scores that bound the middle 92% of the area under the standard normal curve. Enter the answers in ascending order. Round the answers to two decimal places.

The z-scores for the given area are ▭ and ▭ .

Answer 1

To find the z-scores that bound the middle 92% of the area under the standard normal curve, you can use the Θ Cumulative Normal Distribution Table. The z-scores that bound the middle 92% of the area are approximately -1.75 and 1.75.

Step-by-step explanation:

To find the z-scores that bound the middle 92% of the area under the standard normal curve, we can use the Θ Cumulative Normal Distribution Table. The area in the middle is 92%, so we subtract it from 1 to find the area on each side. This gives us an area of (1-0.92)/2 = 0.04 on each side.

Looking up the z-scores that correspond to an area of 0.04 in the table, we find that the z-scores are approximately -1.75 and 1.75. Rounding to two decimal places, the z-scores that bound the middle 92% of the area are -1.75 and 1.75.