You are conducting a survey to assess hiring expectations for companies in the region. You take a sample of 40 manufacturing companies and 60 service companies. On average, the companies in the manufacturing sample reported that they expected to add 12.7 jobs over the next 6 months, with a standard deviation of 4.8 jobs. On average, companies in the service sector sample expected to add 10.8 jobs, with a standard deviation of 3.6 jobs. Set up a hypothesis test to test a "no difference in population means"? null hypothesis. Compute the p-value for the sample result in this two-tailed test.