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 :
prince Sample Size 150 sample mean 980 std deviation1.5
Head Sample Size 150 sample mean 1005 std deviation 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.