To perform two sample Z test. 

Metro Real Estate Association is prepare a pamphlet that they feel might be of interest to prospective homebuyers in the Middletown and Brockton areas of the city. One item of interest is number of years children remain in the 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 the standard deviation of 2.3 years.  A sample of 55 households in Brockton revealed the mean length of time in the district was 8.1 years, with a standard deviation of 2.9 years. At the .05 level of significance, can we conclude the Middletown students stayed in their districts less time than Brockton students?  Utilize the five-step hypothesis testing procedure.