Concept explainers
(a)
To find: the deciles of the standard
(a)
Answer to Problem 59E
The decilesof the standard Normal distribution are
Explanation of Solution
Given:
The deciles of distribution are lowest 10% and the highest 10%
The deciles of a density curve are with area 0.1 and 0.9 to their left
Calculation:
The deciles of the standard Normal Curve is the value of z with 10% and 90% of the distribution to its left. The total area of the standard Normal Curve is 1 and since curve is symmetrical, the area from
Conclusion:
Hence, the deciles are
(b)
To find: the deciles of the distribution
(b)
Answer to Problem 59E
The deciles for the heights of young women are 61.3 inches and 67.7 inches.
Explanation of Solution
Given:
The deciles of distribution are lowest 10% and the highest 10%
The deciles of a density curve are with area 0.1 and 0.9 to their left
Meanis 64.5 inches
Standard deviation is 2.5 inches.
Calculation:
Suppose the random variable x denotes heights of young women, then it is given that:
The standardized value of unknown xis
Solving for x gives:
The deciles for the heights of young women are 61.3 inches and 67.7 inches.
Conclusion:
Therefore, the deciles for the heights of young women are 61.3 inches and 67.7 inches.
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
Introductory Statistics
Basic Business Statistics, Student Value Edition
Introductory Statistics (10th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
Elementary Statistics
- 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