Concept explainers
To check: The hypothesis if the mean hardness of the tablets is different from the 11.5 or not at 5% level.
Answer to Problem 79E
No, the mean hardness of the tablets is not different from the 11.5
Explanation of Solution
Given:
Data:
11.627 |
11.613 |
11.493 |
11.602 |
11.36 |
11.374 |
11.592 |
11.458 |
11.552 |
11.463 |
11.383 |
11.715 |
11.485 |
11.509 |
11.429 |
11.477 |
11.57 |
11.623 |
11.472 |
11.531 |
Formula:
The test statistic is:
Calculation:
The null and alternative hypothesis is:
Degree of freedom = n -1 = 20-1 = 19
From critical value table, the t-value is 2.093.
The test statistic is:
In this case, the critical value is greater than the test statistic. Thus, the null hypothesis is not rejected. So, the mean hardness of the tablets is not different from the 11.5.
Chapter 9 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Intro Stats
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Introductory Statistics
Elementary Statistics: Picturing the World (7th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
Elementary Statistics: Picturing the World (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