Mary Jo Fitzpatrick is the vice president for Nursing Services at St$.$ Luke's Memorial Hospital. Recently she noticed in the job postings for nurses that those who are unionized seem to offer higher wages. She decided to investigate and gathered the following information.

$\backslash$table$[[,,\backslash$table$[[$Sample$],[$Mean$]],\backslash$table$[[$Population$],[$Standard$]]],[$Group$,$Size,Wage,Deviation$],[$Union$,40,$$$20\mathrm{.}75,$$$2\mathrm{.}25$