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Chapter 8: Q. T8.2 (page 549)

The weights (in pounds) of three adult males are160,215and195. What is the standard error of the mean for these data?

a. 190

b. 27.84

c. 22.73

d. 16.07

e.13.13

Short Answer

Expert verified

The standard error of the mean is16.07

Step by step solution

01

Given information

The weights of 3males are160,195,215

02

Formula used

The formula to compute the standard error of mean is: SEx炉=sn

Wheresis the sample standard deviation

The sample standard deviation can be calculated using the following formula:

s=鈭�(x-x炉)2n-1

03

The objective is to find out the standard error of the mean for the provided data set

The mean can be calculated as follows:

x炉=160+195+2153=190

The standard deviation can be calculated as follows:

s=(160-190)2+(215-190)2+(195-190)3=27.839

The standard error of the mean can now be calculated as follows:

SEx炉=sn=27.8393=16.07

The standard error of the mean is 16.07

Therefore, the correct option is(d)

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