We need to test the following hypotheses regarding the average overall distance (in yards) achieved by a particular brand of a golf ball after it is hit: p=280 versus j>280. We take a sample of 25 distances (in yards). The sample average and standard deviation are 283.4 yards and 10.41 yards, respectively. Use u=0.05. (round to 2 decimal places) (10 points) a) What is the value of the test statistic? b) Identify the critical value? c) What is the P-value of the test? d) What is the conclusion of the test if alpha is 0.05?