Randomness and Random Variables in Statistics

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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?

The acceptable difference between the sample mean and the population mean Signup and view all the answers

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

When the sample size is more than 5% of the population size 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?

The required sample size increases Signup and view all the answers

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

Increases the required sample size Signup and view all the answers

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

The confidence level Signup and view all the answers

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

Conducting a pilot study Signup and view all the answers

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

If it results in a decimal value greater than or equal to 0.5 Signup and view all the answers

Randomness and Random Variables in Statistics

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Questions and Answers

What is the formula to calculate the required sample size?

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

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

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

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

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

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

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

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

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

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