ZipRecruiter periodically issues reports on wages of entry-level workers. They reported that entry-level wages for college graduates who took jobs in Deer Park, California were \($23.69\) per hour and for college graduates who took jobs in Stamford, Connecticut were \($22.44\) per hour in 2022. Assume that the standard deviation for graduates who took jobs in Deer Park, California is \($2.30\) and for graduates who took jobs in Stamford, Connecticut is $2.05.

a. What is the sampling distribution of x̄ for a random sample of 50 college graduates who took jobs in Deer Park, California?

b. What is the sampling distribution of x̄ for a random sample of 50 college graduates who took jobs in Stamford, Connecticut?

c. In which of the preceding two cases, part (a) or part (b), is the standard error of x smaller? Why?