A manager at power company monitored the employee time needed to procedure high-efficiency lamp bulb rebates. A random sample of 50 applications gave sample mean time of 4 minutes and 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, calculate the test statistic, find the p-value and then make your conclusions.