Answer :
Answer:
Option D) s = 1
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 69
X = 68
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
Computing z-scores for different standard deviation:
[tex]z_1 = \displaystyle\frac{68-60}{4} = 2\\\\z_2 = \displaystyle\frac{68-60}{3} = 2.667\\\\z_3= \displaystyle\frac{68-60}{2} = 4\\\\z_4 = \displaystyle\frac{68-60}{1} = 8[/tex]
The standard deviation with highest z-score gives the most extreme position in the distribution.
Thus, the most extreme position of X = 68 in the distribution is given by a standard deviation of 1.
Option D) s = 1