Sampling Distribution of Sample Means

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Questions and Answers

What is the relationship between the mean of the sample means (μ_x ̅) and the population mean µ?

  • μ_x Ì… is always greater than µ
  • μ_x Ì… has no relation to µ
  • μ_x Ì… is equal to µ (correct)
  • μ_x Ì… is always less than µ

What is the formula to calculate the standard error of the sample mean (σ_x ̅)?

  • σ/√(n+1)
  • σ/√n (correct)
  • σn
  • σ/√(n-1)

What is the variance of the distribution of all sample means?

  • σ/√n
  • σ^2/n (correct)
  • σ^2
  • σ^2*n

What is the shape of the sampling distribution of the mean of all samples of size n selected from a normal variable X?

<p>Normal (A)</p> Signup and view all the answers

What is the mean of the sampling distribution of the mean of all samples of size n selected from a normal variable X?

<p>μ (B)</p> Signup and view all the answers

What is the variance of the sampling distribution of the mean of all samples of size n selected from a normal variable X?

<p>σ^2/n (B)</p> Signup and view all the answers

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