Concept explainers
(a)
To find: the probability that greater than two standard deviations from the target mean would fall from the at least of the next two sample means.
(a)
Answer to Problem 75E
Explanation of Solution
Given:
Random sample varies normal around the target mean
Formula used:
Rule of Multiplication:
Rule of Complement
Calculation:
The 68-95-99.7-rule informs us that 95% of the mean of the sample is within
P (within
P (greater than
Rule of Multiplication:
Suppose that X is the number of samples, which implies that the mean is more than
Rule of Complement
It could then determine the chances of having more than
(b)
To find: the probability that the mean of the 1st sample is greater than
(b)
Answer to Problem 75E
Explanation of Solution
Given:
Random sample varies normal around the target mean
Formula used:
Multiplication rule:
Calculation:
The 68-95-99.7-rule informs us that 95% of the mean of the sample is within
Multiplication rule:
If the 4th sample is the 1st sample with a mean larger than
Then the 3 previous samples have a mean less than
(c)
To explain: they will assume that it is not working in the process. That this is a reasonable criterion justifies the response with a sufficient probability.
(c)
Answer to Problem 75E
Reasonable criterion
Explanation of Solution
Given:
Random sample varies normal around the target mean
Formula used:
Multiplication rule:
Calculation:
The 68-95-99.7-rule informs us that 95% of the mean of the sample is within
Multiplication rule:
Suppose X is the number of samples means in
Add the associating probability
Since the probability is below 5 percent, it is unlikely that this occurrence will happen by chance and this is thus a reasonable criterion.
Chapter 10 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Introductory Statistics (2nd Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Elementary Statistics Using Excel (6th Edition)
Essentials of Statistics, Books a la Carte Edition (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