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nterpret a Confidence Interval: A center producing standardized exams for certifications wants to bette 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 98% confidence and obtained the values: 75 and 93. a)Interpret these values in the context of the problem. O The likelihood of obtaining a sample mean between 75 and 93 is approximately 98% We can be 98% confident that the population mean score is between 75 and 93. O There is a 98% chance that the population mean score is between 75 and 93. O There is a 98% chance that the sample mean score is between 75 and 93. 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

nterpret a Confidence Interval: A center producing standardized exams for certifications wants to bette 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 98% confidence and obtained the values: 75 and 93. a)Interpret these values in the context of the problem. O The likelihood of obtaining a sample mean between 75 and 93 is approximately 98% We can be 98% confident that the population mean score is between 75 and 93. O There is a 98% chance that the population mean score is between 75 and 93. O There is a 98% chance that the sample mean score is between 75 and 93. 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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 67E
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Pp# 6: can you help me solve and understand this practice problem please? A step by step explanation would be appreciated. Thank you!
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 98% confidence and obtained the values: 75 and 93. a)Interpret these values in the context of the problem. O The likelihood of obtaining a sample mean between 75 and 93 is approximately 98% O We can be 98% confident that the population mean score is between 75 and 93. O There is a 98% chance that the population mean score is between 75 and 93. O There is a 98% chance that the sample mean score is between 75 and 93. 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
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 98% confidence and obtained the values: 75 and 93. a)Interpret these values in the context of the problem. O The likelihood of obtaining a sample mean between 75 and 93 is approximately 98% O We can be 98% confident that the population mean score is between 75 and 93. O There is a 98% chance that the population mean score is between 75 and 93. O There is a 98% chance that the sample mean score is between 75 and 93. 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
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