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Sagot :
Answer:
The standard deviation for the sample mean distribution=0.603
Step-by-step explanation:
We are given that
Mean,[tex]\mu=63[/tex]
Standard deviation,[tex]\sigma=4[/tex]
n=44
We have to find the standard deviation for the sample mean distribution using Central Limit Theorem for Means.
Standard deviation for the sample mean distribution
[tex]\sigma_x=\frac{\sigma}{\sqrt{n}}[/tex]
Using the formula
[tex]\sigma_x=\frac{4}{\sqrt{44}}[/tex]
[tex]\sigma_x=\frac{4}{\sqrt{2\times 2\times 11}}[/tex]
[tex]\sigma_x=\frac{4}{2\sqrt{11}}[/tex]
[tex]\sigma_x=\frac{2}{\sqrt{11}}[/tex]
[tex]\sigma_x=0.603[/tex]
Hence, the standard deviation for the sample mean distribution=0.603
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