HOMEWORK HELP MATH

Question

 Use the empirical rule to determine the area under the standard normal curve that lies between z=1.00 and z=2.00. (You are not being asked to find this exactly. Rather, you are being asked to estimate the area using the empirical rule.) 

Answer 1

The empirical rule is that 68% is within 1 standard deviation, and 95% is within 2 standard deviations. This means that 95% - 68% = 27% is between 1 and standard deviations. We are looking at 1/2 of this, as we are looking from z = 1 to z = 2 and not including z = -2 to z = -1. Thus, the empirical rule would say that 13 1/2 % is between z = 1 and z = 2.