(a)
To find: the critical value and confidence interval for a 90% confidence interval.
(a)
Answer to Problem 10E
Critical value: 1.761
Confidence interval: (0.004243984, 0.012894016)
Explanation of Solution
Given:
Formula used:
The boundaries of the confidence interval
Calculation:
Slope
The calculated standard deviation of the slope
Degree of freedom = 16-2=14
The t-value can be determine in the student’s T distribution table df=14 and column of c= 90%
The boundaries of the confidence interval
(b)
To Explain: the interval from part (a).
(b)
Explanation of Solution
Given:
Calculation:
From part (a)
There are 90 percent confident that the true slope of the regression line of the population is between 0.004243984 and 0.012894016.
(c)
To Explain: the meaning of 90% confident.
(c)
Explanation of Solution
Given:
The 90 percent confidence interval shows the slope of the true regression line. It is also say that 90 percent confidence means that it is predicted about 90 percent of all samples to have a 90 percent confidence interval that is having the true population parameter.
Chapter 12 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Additional Math Textbook Solutions
Introductory Statistics (10th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
Elementary Statistics
Elementary Statistics: Picturing the World (7th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
Fundamentals of Statistics (5th 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