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Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations.

Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations.

What is the standard deviation of the sample mean and what is the probability that the sample mean is 9 or larger?

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standard deviation of the sample mean =... View the full answer

4 comments
  • The solutions provided do not match the options available on the study guide.
    • hp005533
    • May 01, 2018 at 10:10pm
  • Let me check again, and please provide options if available
    • chinnaistats
    • May 01, 2018 at 10:13pm
  • Standard deviation of the sample mean ( σ ) = sqrt(N - n/N-1) * σ /√n = 1.2472
    • chinnaistats
    • May 01, 2018 at 10:19pm
  • probability that the sample mean is 9 or larger = p(Z > (9 - 9.3333) / 1.2472)) = p(Z > 0.267) = 0.3947
    • chinnaistats
    • May 01, 2018 at 10:20pm

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