(a)
To explain why a randomized block design would be better than a completely randomized design in this setting.
(a)
Explanation of Solution
In this question, the researchers are comparing the weight loss treatments on the subjects. A randomized block design can group the subjects into blocks which have a common characteristics and thus a randomized block design allows us to take into account the change of one or more extra variables. A completely randomized design is only able to take into account the changes of the predictor variables. Thus, a random block design will allow us to take into account the excess weights. That is why a randomized block design would be better than a completely randomized design in this setting.
(b)
To explain should researchers form blocks of size
(b)
Answer to Problem 80E
The researchers form blocks of size
Explanation of Solution
In this question, the researchers are comparing the weight loss treatments on the subjects. And a randomized block design would be better than a completely randomized design in this setting. A randomized block design can group the subjects into blocks which have a common characteristic and thus a randomized block design allows us to take into account the change of one or more extra variables. Thus we can then best use blocks based on how overweight the subjects are, because the alphabetical order has no interesting characteristics that we want to investigate.
(c)
To use a technology or Table D to carry out the random assignment required by your design.
(c)
Explanation of Solution
In this question, the researchers are comparing the weight loss treatments on the subjects. And a randomized block design would be better than a completely randomized design in this setting. So, we will do the random assignment as:
Firstly, we will form blocks of size 4 based on how overweight the subjects are:
Then, every individual in each block should receive a different treatment.
Line
Then we obtain (the letter indicates the treatment) as:
Chapter 4 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistical Reasoning for Everyday Life (5th Edition)
Elementary Statistics Using Excel (6th Edition)
STATS:DATA+MODELS-W/DVD
Introductory Statistics
Statistics for Business and Economics (13th Edition)
- 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