timothytomas4392 timothytomas4392
  • 02-05-2018
  • Mathematics
contestada

Suppose that a sample of size 44 is drawn from a population with mean 36 and standard deviation 47, find the standard deviation of the distribution of sample means

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Alcaa Alcaa
  • 04-03-2020

Answer:

Standard deviation of the distribution of sample means = 7.0855

Step-by-step explanation:

We are given that a sample of size 44 is drawn from a population with mean 36 and standard deviation 47.

Using Central Limit Theorem, it is stated that;

Standard deviation of the distribution of sample means = [tex]\frac{Population S.D.}{\sqrt{n} }[/tex]

         =  [tex]\frac{\sigma}{\sqrt{n} }[/tex]  = [tex]\frac{47}{\sqrt{44} }[/tex] = 7.0855

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