The national weather service says that the mean daily high temperature for october in a large midwestern city is 56°F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 56°F. A sample of mean daily high temperatures for october over the past 37 years yields x=54°F. Assume that the population standard deviation is 5.6°F. Perform the hypothesis test at the 1% significance level.