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The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a random sample of 20 balls is selected. Calculate the standard deviation of the sampling distribution of the sample mean.

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JeanaShupp

Answer: 0.018

Step-by-step explanation:

The standard deviation of the sampling distribution of the sample mean is given by :-

[tex]\sigma_x=\dfrac{\sigma}{\sqrt{n}}[/tex]

Given : [tex]\sigma=0.08[/tex] and [tex]n=20[/tex]

Then, the standard deviation of the sampling distribution of the sample mean :

[tex]\sigma_x=\dfrac{0.08}{\sqrt{20}}=0.01788854382\approx0.018[/tex]

Hence, the standard deviation of the sampling distribution of the sample mean = 0.018

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