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Chapter 6: Q.6.57 (page 268)

Explain how Table II is used to determine the area under the standard normal curve that lies

a. to the left of a specified z-score.

b. to the right of a specified z-score.

c. between two specified z-scores.

Short Answer

Expert verified

a). Straight from the table.

b). Area to the right =1-Area given.

c). Area between two z-scores = Larger given area - Smaller given area.

Step by step solution

01

Part (a) Step 1: Given Information

The left of a specified z-score.

02

Part (a) Step 2: Explanation

Directly reading the area under the normal curve to the left of the supplied z-score yields the area under the normal curve to the left of the specified z-score.

03

Part (b) Step 1: Given Information

The procedure for calculating the area under the curve to the right of a given z-score.

04

Part (b) Step 2: Explanation

By directly reading the area from the table and subtracting it from 1, you may get the area under the normal curve to the right of the supplied z-score.

Area to the right =1- Area to the left

Area to the right =1- Area given

05

Part (c) Step 1: Given Information

The area beneath the curve between two z- scores.

06

Part (c) Step 2: Explanation

By subtracting the smaller area from the larger area, the area under the normal curve between two specified z-scores can be obtained.

The area between two z-scores= Larger given area - Smaller given area.

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