Question 705042

SCQEASY

A set of 100 data points yields an average xˉ=9\bar{x} = 9 and a standard deviation σx=4\sigma_x = 4. The error in the estimated mean is closest to

(A)

3.0

(B)

0.4

(C)

4.0

(D)

0.3

Detailed Solution

The standard error in the mean is given by σxN\frac{\sigma_x}{\sqrt{N}}. Here, σx=4\sigma_x = 4 and N=100N = 100, so Error=4100=410=0.4\text{Error} = \frac{4}{\sqrt{100}} = \frac{4}{10} = 0.4.

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