Concept explainers
(a)
Proportion of observations in a standard
(a)
Answer to Problem 59E
Around 0.9515 of the observations in a standard Normal distribution satisfy the statement.
Explanation of Solution
Given Information:
Calculations:
Use normal
See the row that starts with -1.6 and the column that starts with .06 of the standard normal probability table for
Then
Use the complement rule,
For probability
Therefore,
Around 0.9515 of the observations in a standard Normal distribution satisfy
(b)
Proportion of observations in a standard Normal distribution that satisfies the statement provided.
(b)
Answer to Problem 59E
Around 0.9493 of the observations in a standard Normal distribution satisfy the statement.
Explanation of Solution
Given Information:
Calculations:
Use normal probability table in the appendix, to find the corresponding probability.
See the row that starts with -1.6 and the column that starts with .06 of the standard normal probability table for
And
See the row that starts with 2.8 and the column that starts with .05 of the standard normal probability table for
Then
The difference between the probabilities to the left of the boundaries is the probability between two boundaries.
Therefore,
Around 0.9493 of the observations in a standard Normal distribution satisfy
Chapter 2 Solutions
PRACTICE OF STATISTICS F/AP EXAM
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
Precalculus
Introductory Statistics
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Calculus: Early Transcendentals (2nd 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