Solving for the Significance Level
Not what you're looking for?
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.
Purchase this Solution
Solution Summary
The solution examines solving significance levels during recent major league baseball seasons.
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 ...
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.