It is known that the standard deviation of all NMSU first ye

It is known that the standard deviation of all NMSU first year students ACT score is 4.6. To estimate the average ACT score of the NMSU students, Sam collected a SRS of 100 students, while Bob collected a SRS of 400 students. If they are both reporting a 95% CI to estimate the average ACT score for all first year students in NMSU, who will have a smaller margin of error? A. Sam B. Bob C. Cannot be decided.

Solution

Smaller MOE will be for larger sample size, i.e, for Bob