A college basketball team has averaged 87.8 points per game over the course of the past 10 games. If, over the rest of the season the team has averaged 84.3 with a standard deviation of 3, test the...

A college basketball team has averaged 87.8 points per game over the course of the past 10 games. If, over the rest of the season the team has averaged 84.3 with a standard deviation of 3, test the null hypothesis that these 10 games are just a random streak are no different than the rest of the games throughout the season. (Set the alpha level at .01)

a. Complete all steps of the hypothesis test to test the null hypothesis.