Use the following information for both questions. A study of class lengths at two schools was done using independent samples. 31 classes were chosen from each. The first school had a mean length of 50.1 minutes and a standard deviation of 1.6 minutes. The second school had a mean length of 48.9 and a standard deviation of 2.2 minutes. We want to determine at a = 0.01 if the means are different. Assume all test conditions are satisfied. a.What are the null and alternate hypotheses (write in equation/inequality form)? b.What is the p-value and the result, i.e. reject or fail to reject HO? (Show your work/rationale and calculator commands/inputs as appropriate)