a.
To explain: The reason of using two sample test procedure in the provided case.
a.
Explanation of Solution
Given:
The figure is:
The numerical summary is:
Formula used:
The formula to compute the confidence interval is:
Here following conditions are fulfilled:
- Samples have been chosen randomly.
- Normality assumption is also fulfilled because size of each of the samples is more than 30.
- Samples have been chosen independently.
Thus, all the required conditions for two-sample t test are fulfilled here.
b.
To construct: The 95% confidence interval and interpret it.
b.
Answer to Problem 24E
The confidence interval is (0.11968, 0.44832)
Explanation of Solution
Calculation:
Using the Ti-83 calculator, the confidence interval is computed as:
The required confidence interval is (0.11968, 0.44832).
Interpretation:
There is 95% probability that difference of population means is between 0.11968 and 0.44832.
c.
To check: If the above computed confidence interval gives sufficient evidence that reading is causing increase in English’s grades.
c.
Answer to Problem 24E
No.
Explanation of Solution
The provided study is an observational study. So, many confounders may be present which do not provide sufficient evidence to conclude that evidence that reading is leading increase in English’s grades.
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Introductory Statistics
Statistical Reasoning for Everyday Life (5th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Essentials of Statistics (6th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Introductory Statistics (10th 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