Question

If we have already decided on the error and confidence level for a confidence interval, then a population with a standard deviation of 30 will require a greater sample size than a population with a standard deviation of 20. true false

Answer 1

The correct answer is true. A smaller standard deviation requires a larger sample size for the same level of precision.

Step-by-step explanation:

True

The correct answer is true. When calculating a confidence interval, a smaller standard deviation requires a larger sample size to achieve the same level of precision. This is because a smaller standard deviation means that the data points are closer to the mean, resulting in less variability. Therefore, to capture the true population mean with the same level of confidence and error, a population with a standard deviation of 30 will require a greater sample size than a population with a standard deviation of 20.