A vertical line drawn through a normal distribution at z = -0.75 will separate the distribution into two sections.The proportion in the smaller section is 0.2734.

Question

Quizplus · Accepted Answer

A vertical line drawn through a normal distribution at a particular z-score will always divide the distribution into two sections, but the exact proportion in each section will depend on the location of the line (i.e. the z-score). In this case, a vertical line at z = -0.75 would divide the distribution so that the smaller section corresponds to the area to the left of -0.75, which is equivalent to a proportion of 0.2266, not 0.2734. Therefore, the statement is false.

A Vertical Line Drawn Through a Normal Distribution at Z