Q. 15 - Elementary Statistics

Question

15. Explain how to use Table II to determine the $z-$score that has a specified area to its

a. left under the standard normal curve.

b. right under the standard normal curve.

Step-by-Step Solution

Answer

a. Check the table if not exist there, then look for the area nearby and note the corresponding $z-$ score.

b. Determine the table of one minus an area. If it does not exist, find an area near an area and note its $z-$score.

Part (a) Step 1: Concept Introduction

To demonstrate how the table II can be used to identify the $z-$ score that lies under the standard normal curve in the area to its left.

Part (a) Step 2: Explanation

In other words, consider a column with a $z$ score that has a region to the left of the standard normal curve. Identify the table for the given area.

If it does not exist, then find the region close to the given area and note the $z$score for that area.

Part (b) Step 3: Given Information

To demonstrate how the table II can be used to identify the $z-$score that lies under the standard normal curve in the area to its right.

Part (b) Step 4: Explanation

In the first step, identify one minus a given area. Next, look at the $z$ score if it has an area to the right of the standard normal curve.

If there is no area near the given area, then find the closest one and then note the $z$ score corresponding to that area.