IV. (20%) A job seeker suspects that the salaries in his current city (A) is lower than the salaries in the neighboring city (B). The newspaper reported a recent survey on the salaries in these two cities with the following information:

Based on the information, can the job seeker conclude that the average salary in city A are lower than those in city B? Conduct a hypothesis testing with confidence level $\alpha = 0.05$ so that a rejection of the null hypothesis can provide us answer to the job seeker's question.