SOLUTION: 1. 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 interv

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Question 135531: 1. 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)There is a 95% probability that the true population parameter is between 10.5 and 12.0.
C)The true population mean has to be between 10.5 and 12.0
D)The mean is between 10.5 and 12.0, and the standard deviation is 95.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Ans: B
Comment: That is the best answer of the four you must choose from
but that is not a generally accepted statement as to the meaning
of a confidence interval.
The generally accepted meaning is "We are 95% confident that the
population mean lies between 10.5 and 12."
The statement is about confidence, not about probability. The
population mean either is or is not in that interval; there is
no "probability" of it being there.
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Cheers,
Stan H.