Two different samples will be taken from the same population

Last updated: 7/9/2022

Two different samples will be taken from the same population of test scores where the population mean and standard deviation are unknown. The first sample will have 25 data values, and the second sample will have 64 data values. A 95% confidence interval will be constructed for each sample to estimate the population mean. Which confidence interval would you expect to have greater precision (a smaller width) for estimating the population mean? A. I expect the confidence interval based on the sample of 64 data values to be more precise. B. I expect both confidence intervals to have the same precision. C.I expect the confidence interval based on the sample of 25 data values to be more precise.