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 estimate the population mean. Which confidence interval would you expect to have greater precision $($a smaller width$)$ for estimating the population mean?

lexpect both confidence intervals to have the same precision.

l expect the confidence interval based on the sample of $25$ data values to be more precise.

l expect the confidence interval based on the sample of $64$ data values to be more precise.

please solve fast