Use the P-value method to test the given hypothesis. 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 wants to test the claim of 56 ∘F because it believes it is lower. A sample of mean daily high temperatures for October over the past 42 days yields x=54 ∘F and s=5.6 ∘F. Test the claim at the α=0.01 significance level.
A. There's not sufficient evidence to support the claim that the mean is less than 56 ∘F.
B. There's sufficient evidence to reject the claim that the mean is less than 56 ∘F.
C. There is sufficient evidence to support the claim that the mean is less than 56 ∘F