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a)Interpret these values in the context of the problem. O There is a 95% chance that the sanmple mean score is between 70 and 94. O The likelihood of obtaining a sample mean between 70 and 94 is approximately 95% O There is a 95% chance that the population mean score is between 70 and 94. O We can be 95% confident that the population mean score is between 70 and 94. 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 The 96% confidence interval would be wider O It is impossible to tell

a)Interpret these values in the context of the problem. O There is a 95% chance that the sanmple mean score is between 70 and 94. O The likelihood of obtaining a sample mean between 70 and 94 is approximately 95% O There is a 95% chance that the population mean score is between 70 and 94. O We can be 95% confident that the population mean score is between 70 and 94. 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 The 96% confidence interval would be wider O It is impossible to tell

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 95% confidence and obtained the values: 70 and 94. a)lnterpret these values in the context of the problem. O There is a 95% chance that the sample mean score is between 70 and 94. The likelihood of obtaining a sample mean between 70 and 94 is approximately 95% OThere is a 95% chance that the population mean score is between 70 and 94. O We can be 95% confident that the population mean score is between 70 and 94. 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 The 96% confidence interval would be wider O It is impossible to tell O The 96% confidence interval would be more narrow.
Transcribed Image Text: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 95% confidence and obtained the values: 70 and 94. a)lnterpret these values in the context of the problem. O There is a 95% chance that the sample mean score is between 70 and 94. The likelihood of obtaining a sample mean between 70 and 94 is approximately 95% OThere is a 95% chance that the population mean score is between 70 and 94. O We can be 95% confident that the population mean score is between 70 and 94. 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 The 96% confidence interval would be wider O It is impossible to tell O The 96% confidence interval would be more narrow.
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