Chapter 14.4B, Problem 6GCE

To determine

To compare the percent’s for exercise 4 and 5 in the diagram on page 920.

Answer to Problem 6GCE

  $99.7\%$

Explanation of Solution

Given:

Enter $2nd$ [Draw] causes the shading of the region.

The function is $f(x)=\frac{1}{\sqrt{2\pi }}{e}^{\frac{-x^2}{2}}$

Calculation:

On comparing the results of exercise 4 and exercise 5, they fall in the range of $\overline{X}+3\sigma$ to $\overline{X}-3\sigma$

Therefore from the diagram on page no. 920, about $99.7\%$ of data are within 3 standard deviations of the mean.