Let be a z-score that is unknown but identifiable by position and area. If the symmetrical area between a negative and a positive is 0.8132, what would be the value of ?
A) z = 2.64
B) z = 1.78
C) z = 1.32
D) z = 0.89

Question

Let  be a z-score that is unknown but identifiable by position and area. If the symmetrical area between a negative  and a positive  is 0.8132, what would be the value of  ?
A) z = 2.64 
B) z = 1.78 
C) z = 1.32 
D) z = 0.89

Quizplus · Accepted Answer

We know that the area between a negative z-score and a positive z-score is 0.8132. This means that the area to the right of the positive z-score is (1-0.8132)/2 = 0.0934 (since the total area under the curve is 1 and we have a symmetrical distribution). We can use a z-table or calculator to find the z-score corresponding to this area, which is approximately 1.32. Therefore, the answer is C) z = 1.32.

Let Be a Z-Score That Is Unknown but Identifiable