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# Basis for the Range Rule of Thumb and the Empirical Rule.

ISBN: 9780321836960 18

## Solution for problem 45BSC Chapter 6.2

Elementary Statistics | 12th Edition

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Problem 45BSC

Basis for the Range Rule of Thumb and the Empirical Rule. In Exercise, find the indicated area under the curve of the standard normal distribution, then convert it to a percentage andfill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-3.

About_____ % of the area is between z  = −1 and z = 1 (or within 1 standard deviation of the mean).

Step-by-Step Solution:

Step 1 :

In finding the area under standard normal curve, you can use the statistical tables at the back of your textbook, or use your calculator.

In using the tables, remember that areas are reported as P(Z < a)

Therefore, you need to use the following relationships

P(Z > a) = 1 - P(Z < a)

P(a < Z < b) = P(Z < b) - P(Z < a)

Applying this principles, we get

P(-1 < Z < 1) =...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321836960

This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. Since the solution to 45BSC from 6.2 chapter was answered, more than 276 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 45BSC from chapter: 6.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This full solution covers the following key subjects: rule, standard, basis, thumb, area. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The answer to “Basis for the Range Rule of Thumb and the Empirical Rule. In Exercise, find the indicated area under the curve of the standard normal distribution, then convert it to a percentage andfill in the blank. The results form the basis for the range rule of thumb and the empirical rule introduced in Section 3-3.About_____ % of the area is between z = ?1 and z = 1 (or within 1 standard deviation of the mean).” is broken down into a number of easy to follow steps, and 75 words.

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