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Is the sampling distribution of means a make up of all the means of samples? If...

Is the sampling distribution of means a make up of all the means of samples? If so, would the sampling distribution of means be approximately a normal distribution?

Math   Statistics-And-Probability   
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Answer #1

Sampling distribution of the mean probability distribution of means for ALL possible random samples of a given size from some population

  • By taking a sample from a population, we don’t know whether the sample mean reflects the population mean.
  • From the sampling distribution, we can calculate the possibility of a particular sample mean: chances are that our observed sample mean originates from the middle of the true sampling distribution.
  • When the sample size is at least 30 the sample mean is normally distributed.
  • When the population is normal the sample mean is normally distributed regardless of the sample size.
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