. The Connecticut Board of Education is concerned that first year female high school teachers are receiving ...

     1. The   Connecticut Board of Education is concerned that first year female high   school teachers are receiving lower salaries than their male counterparts.   Two independent random samples have been selected 750 observations from   population 1 (female high school teachers) and 710 from population 2 (male   high school teachers). The sample means obtained are X1(bar)=$45 k and   X2(bar)=$47 k.  It is known from previous studies that the population   variances are 3.6 and 5.0 respectively. Using a level of significance of .05,   is there evidence that the first year female high school teachers are   receiving lower salaries? Fully explain your answer.