Suppose the size of a population is \( \mathrm{N}=2500 \) and the sample size desired is \( \mathrm{n}=15 \). What value of k should be used to obtain a systematic sample from this population? \( k=\square \) (Round down to the nearest whole number as needed.)

To find the value of \( k \) for systematic sampling, you can use the formula \( k = \frac{N}{n} \), where \( N \) is the population size and \( n \) is the sample size. So, substituting the values you provided, we have: \[ k = \frac{2500}{15} \approx 166.67 \] Rounding down to the nearest whole number gives us \( k = 166 \). Thus, you would select every 166th individual from the population to create your sample. Happy sampling!