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: 68 and 84. a)lnterpret these values in the context of the problem. O There is a 95% chance that the sample mean score is between 68 and 84. O There is a 95% chance that the population mean score is between 68 and 84. O The likelihood of obtaining a sample mean between 68 and 84 is approximately 95% O We can be 95% confident that the population mean score is between 68 and 84. 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 more narrow. O It is impossible to tell O The 96% confidence interval would be wider

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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: 68 and 84.
a)lnterpret these values in the context of the problem.
O There is a 95% chance that the sample mean score is between 68 and 84.
O There is a 95% chance that the population mean score is between 68 and 84.
The likelihood of obtaining a sample mean between 68 and 84 is approximately 95%
O We can be 95% confident that the population mean score is between 68 and 84.
b) The point estimate can be recovered even if you only know the endpoints of the confidence interval.
|(round to one
What was the average score of the exams in their sample?
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 more narrow.
O It is impossible to tell
O The 96% confidence interval would be wider
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: 68 and 84. a)lnterpret these values in the context of the problem. O There is a 95% chance that the sample mean score is between 68 and 84. O There is a 95% chance that the population mean score is between 68 and 84. The likelihood of obtaining a sample mean between 68 and 84 is approximately 95% O We can be 95% confident that the population mean score is between 68 and 84. b) The point estimate can be recovered even if you only know the endpoints of the confidence interval. |(round to one What was the average score of the exams in their sample? 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 more narrow. O It is impossible to tell O The 96% confidence interval would be wider
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