SOLUTION: Suppose a researcher is studying a population that has a mean of µ = 38.6 and a standard deviation of = 1.1. Round your answer to the nearest thousandth if needed. The research

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose a researcher is studying a population that has a mean of µ = 38.6 and a standard deviation of = 1.1. Round your answer to the nearest thousandth if needed. The research      Log On


   



Question 933455: Suppose a researcher is studying a population that has a mean of µ = 38.6 and a standard deviation of = 1.1. Round your answer to the nearest thousandth if needed.
The researcher studies a simple random sample of size n = 200. According to the central limit theorem, what is the approximate standard deviation of the sampling distribution of the mean?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
SE = standard error = standard deviation of the sampling distribution

SE+=+sigma%2Fsqrt%28n%29

SE+=+1.1%2Fsqrt%28200%29

SE+=+0.07778174593052 Use a calculator here. This is approximate.

SE+=+0.078 Round to the nearest thousandth

The answer is approximately 0.078

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