A student organization

#1
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.
 

JohnM

TS Contributor
#2
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.