Final answer:
The sample size for a confidence interval depends on the confidence level, margin of error, and variability of the population. Use the formula Sample Size = (Z-score)^2 * (Standard Deviation)^2 / (Margin of Error)^2 to calculate it. The sample size would be 97.
Step-by-step explanation:
The sample size for a confidence interval depends on several factors, including the desired confidence level, the margin of error, and the variability of the population. To calculate the sample size, we can use the formula:
Sample Size = (Z-score)^2 * (Standard Deviation)^2 / (Margin of Error)^2
For example, if we want a 95% confidence interval with a margin of error of 2 and a standard deviation of 10, the sample size would be:
Sample Size = (1.96)^2 * (10)^2 / (2)^2 = 96.04
Always round up to the nearest whole number, so the sample size would be 97.