To calculate: The population mean for the confidence interval of 95%.
Answer to Problem 64E
Thepopulation mean is from16.4872% to 26.5128%.
Explanation of Solution
Given information:
Sample size
Confidence interval
Table for sample is:
1 | 26 |
2 | 31 |
3 | 23 |
4 | 22 |
5 | 11 |
6 | 22 |
7 | 14 |
8 | 31 |
Formula used:
Degree of freedom
Margin of error
Calculation:
Find the mean, use the formula
Find the standard deviation, use the formula
Now, find the degree of freedom, use the formula
Know that, the confidence level is 95%.
Convert 95% into decimal.
Find the column.
From table B find critical value
Thus, the critical value of
Find the margin of error, use the formula
Now, find the population mean.
Hence, the required population mean is from 16.4872% to 26.5128%.
Chapter 8 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Introductory Statistics
Fundamentals of Statistics (5th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Introductory Statistics (10th Edition)
Statistics for Psychology
Elementary Statistics Using Excel (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