Strictly speaking, what is the best interpretation of a 95% confidence interval for the mean? If repeated samples were taken and the 95% confidence interval was computed for each sample, 95% of the intervals would contain the population mean. A 95% confidence interval has a 0.95 probability of containing the population mean. 95% of the population distribution is contained in the confidence interval?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Strictly speaking, what is the best interpretation of a 95% confidence interval for the mean?

 If repeated samples were taken and the 95% confidence interval was computed for each sample, 95% of the intervals would contain the population mean.

 A 95% confidence interval has a 0.95 probability of containing the population mean.

 95% of the population distribution is contained in the confidence interval?

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