Please use the five-step process for hypothesis testing

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: 830 observations from population 1 (female high school teachers) and 810 from population 2 (male high school teachers). The sample means obtained are X1(bar) = $46,000 and X2(bar) = $47,000. It is known from previous studies that the population variances are 4.5 and 5.0 respectively. Using a level of significance of .01, is there evidence that the first year female high school teachers are receiving lower salaries? Fully explain your answer.