Stat question 3

Question

About what percentage of the area under the curve of the standard normal distribution is between z=−1.655z=-1.655 and z=1.655z=1.655 (or within 1.655 standard deviations of the mean).

Answer 1

About what percentage of the area under the curve of the standard normal distribution is between  z=−1.655 and z=+1.655 (or within 1.655 standard deviations of the mean).

Left area under Standard Normal Curve at Z = -1.655 is 0.0490

Left area under Standard Normal Curve at Z = +1.655 is 0.9510

Hence, area under the Standard Normal Curve between these two limits is = 0.9510 - 0.0490 = 0.9020

The answer is 0.9020 or 90.20% of the area under the Standard Normal Curve lies between the two limits under question.