Random Concepts in Statistics
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Questions and Answers

What is the formula to calculate the required sample size?

  • n = E^2 / Z^2 * σ^2
  • n = Z^2 * E^2 / σ
  • n = Z^2 * σ^2 / E^2 (correct)
  • n = Z * σ / E

In the context of estimating sample size, what does 'Z' represent?

  • Margin of error
  • Sample standard deviation
  • Z-score for confidence level (correct)
  • Population size

For a 95% confidence level, what is the Z-score typically used?

  • 1.96 (correct)
  • 2.576
  • 0.05
  • 1.645

What is the purpose of conducting a pilot study when estimating sample size?

<p>To estimate the population standard deviation (C)</p> Signup and view all the answers

When estimating sample size, what should be done if the sample is more than 5% of the population?

<p>Apply Finite Population Correction (FPC) factor (D)</p> Signup and view all the answers

In the formula n = (N-1)E^2 + Z^2σ^2 / (Z^2*N-1), what does 'N' represent?

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

What should you do if you end up with a fraction for the calculated sample size?

<p>Round up to the nearest whole number (A)</p> Signup and view all the answers

'Population Standard Deviation' is used in estimating sample size when:

<p>'Population Standard Deviation' is unknown (C)</p> Signup and view all the answers

What factor is applied to adjust sample size if it exceeds 5% of the population?

<p>Finite Population Correction (FPC) (C)</p> Signup and view all the answers

What does 'Z' represent in the context of estimating sample size?

<p>Z-score for confidence level (C)</p> Signup and view all the answers

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