Interpret a Confidence Interval: A center producing standardized exams for certifications wants to better understand its Six-Sigma certification exam. They were only able to access a small sample of their scores, so they used the confidence interval formula with 99% confidence and obtained the values: 66 and 90. a)Interpret these values in the context of the problem. O We can be 99% confident that the population mean score is between 66 and 90. O The likelihood of obtaining a sample mean between 66 and 90 is approximately 99% O There is a 99% chance that the population mean score is between 66 and 90. O There is a 99% chance that the sample mean score is between 66 and 90. b) The point estimate can be recovered even if you only know the endpoints of the confidence interval. What was the average score of the exams in their sample? (round to one decimal place) c) If they were to calculate a new confidence interval at 96% confidence, what (if anything) can be said about this confidence interval? O It is impossible to tell O The 96% confidence interval would be wider O The 96% confidence interval would be more narrow.
Interpret a Confidence Interval: A center producing standardized exams for certifications wants to better understand its Six-Sigma certification exam. They were only able to access a small sample of their scores, so they used the confidence interval formula with 99% confidence and obtained the values: 66 and 90. a)Interpret these values in the context of the problem. O We can be 99% confident that the population mean score is between 66 and 90. O The likelihood of obtaining a sample mean between 66 and 90 is approximately 99% O There is a 99% chance that the population mean score is between 66 and 90. O There is a 99% chance that the sample mean score is between 66 and 90. b) The point estimate can be recovered even if you only know the endpoints of the confidence interval. What was the average score of the exams in their sample? (round to one decimal place) c) If they were to calculate a new confidence interval at 96% confidence, what (if anything) can be said about this confidence interval? O It is impossible to tell O The 96% confidence interval would be wider O The 96% confidence interval would be more narrow.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:▼
Question 12
< >
Interpret a Confidence Interval: A center producing standardized exams for certifications wants to better
understand its Six-Sigma certification exam. They were only able to access a small sample of their scores,
so they used the confidence interval formula with 99% confidence and obtained the values: 66 and 90.
a)Interpret these values in the context of the problem.
O We can be 99% confident that the population mean score is between 66 and 90.
O The likelihood of obtaining a sample mean between 66 and 90 is approximately 99%
O There is a 99% chance that the population mean score is between 66 and 90.
O There is a 99% chance that the sample mean score is between 66 and 90.
b) The point estimate can be recovered even if you only know the endpoints of the confidence interval.
What was the average score of the exams in their sample?
(round to one
decimal place)
c) If they were to calculate a new confidence interval at 96% confidence, what (if anything) can be said
about this confidence interval?
O It is impossible to tell
O The 96% confidence interval would be wider
O The 96% confidence interval would be more narrow.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
Similar questions
- Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningMATLAB: 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman