two researchers select a sample for a population with a mean

two researchers select a sample for a population with a mean of 12.4 and a standard deviation of 9. researcher A selecta a sample of 30 participants. researcher B selects a sample of 40 participants. which sample is associated with a smaller standard error?

Researcher A\'s, b/c the sample size was smaller

Resesrcher B\'s, b/c the sample size was smaller

Researcher A\'s, b/c the sample size was larger

Researcher B\'s, b/c the sample size was larger

Solution

Reaercher B as the sample size was larger. As the sample becomes large in size, error decreases.