Question

What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is negative 2 to negative 1. z Probability 0.00 0.5000 1.00 0.8413 2.00 0.9772 3.00 0.9987

Answer 1

Answer:

13.59%

Step-by-step explanation:

The z score is a measure used in statistic to determine by how much standard deviations the raw score is above or below the mean. If the raw score is greater than the mean then the z score is positive but if the raw score is less than the mean then the z score is negative. The z score is calculated using:

$z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score$

From the normal distribution table, Area between z equal -2 and z equal -1  = P(-2 < z < -1) = P(z < -2) - P(z < -1) = 0.1587 - 0.0228 = 0.1359 = 13.59%