Question

Question #a9f17

Answer 1

The `z` score is `-1.53` and `1.53`

Explanation:

The `z` score is `-1.53` and `1.53`

Total area under the normal curve is 1.
One-half of the area is 0.5
The are of one extreme tail is 0.063
The rest of the area is `0.5 - 0.063=0.437`

The middle area is 0.874.
Half the area is `0.874 /2=0.437`

Given the probability value [ area ] to find the corresponding z score, we have to refer the table.

Locate the probability value in the table. it is shown by red rectangle.

Travel horizontally the z value is 1.5
Travel vertically the z value is 0.03

Add these two value to get the correct z- score.
It is 1.53.
Left side score is negative. Attach a negative sign to z score.
Right side score is positive. Attach a positive sign to z score.

The `z` score is `-1.53` and `1.53`

Refer the pictures also.