# Solving for the Significance Level

Scenario: During recent seasons, Major League Baseball has been criticized for the length of the games. A report indicated that the average game lasts 3 hours and 30 minutes. A sample of 17 games revealed the following times to completion. (Note that the minutes have been changed to fractions of hours, so that a game that lasted 2 hours and 24 minutes is reported at 2.40 hours.)

Times:

2.98 2.40 2.70 2.25 3.23 3.17 2.93 3.18 2.80

2.38 3.75 3.20 3.27 2.52 2.58 4.45 2.45

Question:

Can we conclude that the mean time for a game is less than 3.50 hours? Use the .05 significance level.

https://brainmass.com/statistics/hypothesis-testing/solving-for-the-significance-level-252159

#### Solution Preview

Hello,

Let us go through the steps:

The first step in hypothesis testing is to specify the null hypothesis (Ho) and the alternative hypothesis (Ha)

Ho: The average game is 3.5 hours (u=3.5)

Ha: The average game is less then 3.5 hours (u<3.5)

The next step is to select a significance level. Typically the 0.05 as stated in the question.

Next we calculate the test statistic:

The formula would be: the average of our sample (x) - the average stated (x bar) / variability (standard deviation divide by square root ...

#### Solution Summary

The solution examines solving significance levels during recent major league baseball seasons.