the scoring averagesin points per game of 10 professional ba

the scoring averages(in points per game) of 10 professional basketball players for their rookie and sophomore seasons are shown below. At a=0.10, is there enough evidence to support the claim that the scoring averages have changed?

points per game (rookie)

18.5 13.9 16.1 15.3 16.8 13.0 11.9 11.8 11.1 11.1

points per game (sophomore)

12.5 14.2 6.3 14.6 18.9 20.4 16.3 16.9 14.7 17.5

Solution

Let us create hypotheses as:

H0: mu1 =mu2

Ha: mu1 not equals mu2

Two tailed test

As sample sizes are 10, use t test

The mean of Group One minus Group Two equals -1.280

standard error of difference = 1.489
Alpha =0.10

  t = 0.8598
  df = 18
The two-tailed P value equals 0.4012

As p >0.1, accept null hypothesis that there is no change.