Metro Real Estate Association is making the pamphlet that they feel may be of interest to prospective homebuyers in Middletown and Brockton areas of the city. One item of interest is the number of year's children remains in same district for schooling. A sample of 40 households with school-aged children in Middletown was randomly selected. The mean length of time in the district was 7.6 years, with standard deviation of 2.3 years. A sample of 55 households in Brockton revealed the mean length of time in district was 8.1 years, with standard deviation of 2.9 years. At the 0.05 level of significance, can we conclude the Middletown students stayed in their districts less time than the Brockton students? Employ the five-step hypothesis testing procedure.