Concept explainers
(a)
To Explain: that it would be categorize as an outlier, justify the answer.
(a)
Answer to Problem 49E
Yes
Explanation of Solution
Given:
Formula used:
Calculation:
Outliers
The
Outliers are observations
It is observed that outliers are all :-scores that are below -2.68 or above 2.68.
The z-score
Since 2.78 is beyond 2.68 it will consider the 7-minute shower as an outlier.
25th percentile
The percentile reflects the data value with below it x percent of all data values, which means that 25 percent of all data values are below the 25th percentile.
Calculating the z-score usual probability row, which corresponds to a probability of 0.25. it is noticed that the nearest probability is 0.2514, which is in the row-0.6 and in the normal probability table column.07 and that the resulting z-score is -0.6+.07=-0.67.
75th percentile
The percentile reflects the data value below which has x percent of all data values, indicating that 75 percent of all data values are below the 75th percentile.
Calculating the z-score usual probability row, which corresponds to a probability of 0.75. it is noticed that the nearest probability is 0.7486 in row 0.6 and column 0.07 of the usual probability table and that the resulting z-score is 0.6+.07=0.67.
(b)
To find: the
(b)
Answer to Problem 49E
0.000323
Explanation of Solution
Given:
Formula used:
Calculation:
The z-score is
The corresponding probability
Rule of Multiplication and complement
Then get
(c)
To find: the chance of reaching 5 minutes for the mean duration of her shower times on these 10 days.
(c)
Answer to Problem 49E
0.0392
Explanation of Solution
Given:
Formula used:
Calculation:
Chapter 12 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
Introductory Statistics
Introductory Statistics
Statistical Reasoning for Everyday Life (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