SOLUTION: samples of size 81 are taken from a population of size 500 with mean 10 and standard deviation is 3 find standard deviation of sample means?

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Question 1192316: samples of size 81 are taken from a population of size 500 with mean 10 and standard deviation is 3 find standard deviation of sample means?
Answer by CPhill(1959) About Me  (Show Source):
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**1. Identify the given values:**
* Population standard deviation (σ): 3
* Sample size (n): 81
**2. Calculate the standard deviation of the sample means (standard error of the mean):**
* Standard error of the mean (σ_x̄) = σ / √n
* σ_x̄ = 3 / √81
* σ_x̄ = 3 / 9
* σ_x̄ = 1/3
* σ_x̄ = 0.3333
**Therefore, the standard deviation of the sample means is 0.3333.**