Question

The mean number of rushing yards for one NFL team was less than 105 yards per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis

Answer 1

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

Explanation:

The mean number of rushing yards for one NFL team was less than 105 yards per game.

At the null hypothesis, we test if the mean number of rushing yards for the team was the league's mean, which is close to 105 yards per game, that is:

`H_0: \mu = 105`.

At the alternate hypothesis, we test if there is significant evident to conclude that this team average is less than 105 yards per game, that is:

`H_1: \mu < 105`

How should you interpret a decision that rejects the null hypothesis?

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.