Let be a z-score that is unknown but identifiable by position and area. If the symmetrical area between - and + is 0.9544, the value of is 2.0.

Question

Let  be a z-score that is unknown but identifiable by position and area. If the symmetrical area between -  and +  is 0.9544, the value of  is 2.0.

Quizplus · Accepted Answer

A z-score of 2.0 represents an area of 0.4772 on one side of the distribution. Since the total area between -2.0 and 2.0 in a standard normal distribution is 0.9544, the symmetrical area between -2.0 and +2.0 is indeed 0.9544. Therefore, the statement is true.

Let Be a Z-Score That Is Unknown but Identifiable