Please help with all workings shown

Suppose we want to know whether the mean length of unemployment differs among the residents of two local communities. Sample information is as follows: Community A: sample mean = 3.4 months s = 1.1 month n = 52 Community B: sample mean = 2.8 months s = 0.8 month n = 62 Set up the null and alternative hypotheses. Use a = 0.05. Choose a particular test and show the acceptance and rejection regions on a diagram. Calculate the test statistic and decide whether to accept or reject the null hypothesis. Assume that the two standard deviations are unequal to one another