Concept explainers
Exercises 1-4 refer to the following data:
At a certain college: random samples of students with various majors were taken, and their grade point averages (GPA) were computed. The following table presents the sample means, standard deviations, and
How many degrees of freedom are there for SSTr and for SSE?
Tofind : The number of degree of freedom for
Answer to Problem 1CQ
The number of degree of freedom for
Explanation of Solution
Given information :
The data is shown below.
Major | Mean | Standard Deviation | Sample Size |
English | 3.15 | 0.45 | 50 |
Statistics | 3.05 | 0.56 | 48 |
Psychology | 3.19 | 0.35 | 45 |
Business | 3.01 | 0.49 | 55 |
Calculations:
From the given data the number of sample
The total sample size is given as,
Substitute the values from the table.
The degree of freedom for
The degree of freedom for
Therefore, the number of degree of freedom for
Want to see more full solutions like this?
Chapter 14 Solutions
Loose Leaf Version For Elementary Statistics
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman