A manager at a power company monitored the employee time required to process high-efficiency lamp bulb rebates. A random sample of 50 applications gave a sample mean time of 4 minutes and a standard deviation of 1.25 minutes. Is the claim that µ > 3.5 substantiated by these data? To answer the question, formulate the null and alternative hypotheses, compute the test statistic, find the p-value and then make your conclusions.