To see if basketball players improve or get worse as they age wetake a random sample of players who compete at both the age of 25and the age of 30 and find their scoring average for the season atthose ages with the results below. Use a hypothesis test todetermine if there is evidence that there is a difference in meanpoints scored between the two ages. Use a significance level of0.05.
Player                         1         2         3         4         5         6         7                    Â
Age 25average          21.3    15.2    7.8      8.2      11.8    17.3    4.6
Age 30average          19.2    12.8    9.2      6.4      7.4      14.2    2.1