Question

Find the indicated​ z-scores shown in the graph. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... z=? z=? 0 x 0.0250 0.0250 A normal curve is over a horizontal x-axis and is centered on 0. Vertical line segments extend from the curve to the horizontal axis at two points labeled z = ? each. The areas under the curve and to the left of the left vertical line segment and to the right of the right vertical line segment are shaded and labeled 0.0250 each. The​ z-scores are nothing. ​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

Answer 1

We know that z scores are symmtric around the mean for left and right side of curve

so, we will use invNorm to find the z score corresponding to the left hand side area of 0.025

setting mean = 0 and standard deviation = 1 (for standard normal distribution)

and area = 0.025

we get

z score = invNorm(0.025, 0,1)

= -1.96

and as mentioned earlier, the distribution is symmetric

so, z score for right hand side will be 1.96

therefore, z = -1.96 (left side) and z = 1.96 (right side)