To decide whether two different types of tennis raquet have the same true average power, different raquets have been tested. These are the results
Raquet brand : Sample Size sample mean sample std deviation
prince 150 980 1.5
Head 150 1005 2
a) Does the data provide compelling evidence for concluding that true average power for the Head raquet is different that the power for the Prince raquet? Test the appropriate hypotheses using the P-value approach and the Rejection Region
b) Does the data provide compelling evidence for concluding that true average power for the Head raquet exceeds that for the Prince power by more than 20 ? Test the appropriate hypotheses using the P-value approach.