Randomness and Random Variables in Statistics
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Questions and Answers

What is the formula to calculate the required sample size?

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

What is the Z-score for a 95% confidence level?

  • 2.576
  • 1.96 (correct)
  • 1.645
  • 0.025

If the population standard deviation is unknown, what should be done when estimating the sample size?

  • Use the Z-score as the standard deviation
  • Conduct a pilot study to get an idea of the variability (correct)
  • Ignore the standard deviation
  • Use the sample variance as the standard deviation

What is the margin of error (E) in a sample size calculation?

<p>The acceptable difference between the sample mean and the population mean (D)</p> Signup and view all the answers

When should you use a finite population correction factor in sample size estimation?

<p>When the sample size is more than 5% of the population size (D)</p> Signup and view all the answers

If you want to increase the confidence level in a sample size calculation, what happens to the required sample size?

<p>The required sample size increases (D)</p> Signup and view all the answers

What effect does an increase in margin of error have on the required sample size?

<p>Increases the required sample size (D)</p> Signup and view all the answers

What does a Z-score represent in a sample size calculation?

<p>The confidence level (C)</p> Signup and view all the answers

What component can be used as an estimate if the population standard deviation is unknown?

<p>Conducting a pilot study (D)</p> Signup and view all the answers

In which scenario should you round up to the nearest whole number when calculating sample size?

<p>If it results in a decimal value greater than or equal to 0.5 (B)</p> Signup and view all the answers

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