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A 99% Confidence interval was calculated for the true mean diastolic blood pressure, :, based on...

A 99% Confidence interval was calculated for the true mean diastolic blood pressure, :, based on 100 randomly selected subjects. This confidence interval was found to be (74, 92). Which of the following interpretations is false?

  1. If we were to repeat the same experiment 1000 times and constructed the confidence interval this same way, we would expect the true mean diastolic blood pressure, µ, to be contained in approximately 99% of such intervals.

  1. The probability that the confidence interval (74,92) contains the true mean diastolic blood pressure, µ, is .99

  1. The probability is .99 the true mean diastolic blood pressure, µ, is in the interval (74, 92).

  1. The probability the true mean diastolic blood pressure, µ, is contained in the interval (74, 92) is either zero or 1, but we do not know which.

  1. A and B only

  1. C and D only
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Answer #1

Correct interpreations are:

we were to repeat the same experiment 1000 times and constructed the confidence interval this same way, we would expect the true mean diastolic blood pressure, µ, to be contained in approximately 99% of such intervals.

The probability the true mean diastolic blood pressure, µ, is contained in the interval (74, 92) is either zero or 1, but we do not know which.

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