SOLUTION: After a sample of numbers is taken from a population, the 95% confidence interval is calculated out at {10.5, 12.0}
What is the correct way to interpret this confidence interval?
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Question 335779: After a sample of numbers is taken from a population, the 95% confidence interval is calculated out at {10.5, 12.0}
What is the correct way to interpret this confidence interval? Choose one.
A) 95% of all values in the population are between 10.5 and 12.0
B) The true population mean has to be between 10.5 and 12.0
C) There is a 95% probability that the true population parameter is between 10.5 and 12.0.
D) The mean is between 10.5 and 12.0, and the standard deviation is 95.
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
you dont state what the 95% confidence interval is for, but lets assume its for the true population parameter (usually the mean, but you dont say).
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Once the interval is computed, the true population parameter is either in the interval or its not.
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Since we dont know the true population parameter all we can say is that the methodology of computing the confidence interval over and over will result in 95% of the intervals containing the true population parameter.
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The only answer that comes "close" to being right is C)
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