Sampling Distribution, expected value and standard deviation

User Generated

ryyrawnl

Mathematics

Description

Sample of 25 was selected from a population w/ expected value 120 and variance 1. Find the expected value and the standard deviation of the sampling distribution of the sample mean. Can we determine the exact sampling distribution of sample mean?

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Explanation & Answer

Expected value of the sampling distribution of the sample mean=120

Standard deviation of sampling distribution of the sample mean= 1/sqrt(25) =1/5 =0.2

We can determine the sampling distribution of the sample mean , if we know the parent population.


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