A student organization

Is this answer correct?

A student organization plans to ask 100 randomly selected students how much they spent on textbooks last semester. You argue for a sample of 900 students instead of 100. You know the standard deviation of the sample mean x bar of the amounts spent will be different. How will the standard deviation of the larger sample compare with that of the smaller sample?

Answer: It should stay the same.


TS Contributor
Correct. The standard errors of the means will be different, but the sample standard deviations, if they are from random samples, should both be good estimates of the population standard deviation.