(a)
To find: The mean and the standard deviation of the ratings
(a)
Answer to Problem 63E
Explanation of Solution
Given information:
Total number of people
The table of the frequency count of the ratings
Rating | |||||
Frequency |
Formula used:
Calculation:
The mean will be
The standard deviation will be
(b)
To find: The adjusted mean for ratings
(b)
Answer to Problem 63E
Adjusted Mean
Adjusted standard deviation
Explanation of Solution
Given information:
Mean of the ratings
Standard deviation of the ratings
Concept used:
Calculation:
Using the above concept as an addition or subtraction in all the terms leads to the simultaneous changes in the mean while the standard deviation is affected by only multiplication or division of all the terms.
As
The mean of the adjusted ratings will be
The adjusted standard deviation will remain the same as it remains unaffected by addition or subtraction of the value.
(c)
To find: The appropriateness to compare means by two sample t test.
(c)
Answer to Problem 63E
Two sample test for mean isn’t appropriate.
Explanation of Solution
Two sample test for means is used when the data is nominal in nature.
In this case, the ratings are to be tested which an ordinal data (ordered data)
Since, the data is categorical in nature, so two sample t test is not appropriate.
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
STATS:DATA+MODELS-W/DVD
Introductory Statistics (2nd Edition)
Introductory Statistics
Statistics: The Art and Science of Learning from Data (4th Edition)
Essentials of Statistics (6th 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