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Chapter 2: Q. 72 (page 138)

Use Table 2.57 to find the value that is three standard deviations:

a. above the mean

b. below the mean.

Short Answer

Expert verified

a. The value that is obtained from the three standard deviations, which is above the mean is 0.202.

b. The value that is obtained from the three standard deviations, which is below the mean is 0.144.

Step by step solution

01

Given information

The table is given as :

We have to find the value that is above the mean and also below the mean.

02

 Explanation (Part a)

We are given,

s=0.012, that is team standard deviation andx=0.166that is (mean) or the team average for Fredo

Three- standard deviation above the mean is

localid="1650203448027" =(3脳s)+x=(3脳0.012)+0.166=0.202

We are given,

s=0.015that is team standard deviation and x=0.189that is (mean) or the team average for Karl

Three- standard deviation above the mean is

=(3脳s)+x=(3脳0.015)+0.189=0.234

03

Explanation (Part b)

We are given,

For Fredo,

Three- standard deviation above the mean is

=(3脳s)-x=(3脳0.012)-0.166=-0.13

For Karl

Three- standard deviation above the mean is

localid="1650203483283" =(3脳0.015)-0.189=0.144

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