According to the z distribution, what proportion of SAT verbal scores would fall between 400 and 696?
A).3413
B).4750
C).8163
D).1683

Question

Quizplus · Accepted Answer

To find the proportion of SAT verbal scores that fall between 400 and 696, we need to convert these scores to z-scores and then use the standard normal distribution (z-distribution) to find the proportion. The mean SAT verbal score is 500 and the standard deviation is 100. For 400: $z = \frac{400 - 500}{100} = -1$For 696: $z = \frac{696 - 500}{100} = 1.96$Looking up these z-scores in the z-table or using a calculator, we find that the area under the curve from $z = -1$ to $z = 1.96$ is approximately 0.4750 (from $z = -1$ to $z = 0$) + 0.3413 (from $z = 0$ to $z = 1.96$) = 0.8163. This means that approximately 81.63% of SAT verbal scores fall between 400 and 696.

According to the Z Distribution, What Proportion of SAT Verbal