The university and the Team Up North both claims to have the highest attendance in the Big Fourteen conference, The university claims that it has highest attendance than The Team UP North every day of the week and twice on Sunday so both universities sample 31 games from the past two years to see if it is true. The university sample is 105,965 and its sample standard deviation is 1,242. The Team UP North's sample mean is 104,291 and its sample deviation is 2,258. Assume this test is at the alpha=0.5 level of significance and the degrees of freedom to be 30.

a. state the hypotheses

b. determine the test statistic rounding to the appropriate decimal place and the p value

c. make a decision

d. draw a conclusion