Population computed from a random sample


A 95% confidence interval for mean, µ, of a population computed from a random sample is found to be 9 ± 3. Based on this, which of the following statements is true?

A) The probability that the value of x-bar obtained from a random sample of the same size will be between 6 and 12 is 0.95.

B) Ninety-five percent of 95% confidence interval estimates of this µ calculated from random samples of the same size would be (6, 12).

C) We can be 95% sure that the value of µ is between 6 and 12 because 95% of the confidence intervals calculated this way contain the true value of µ.

D) The probability that µ has a value between 6 and 12 is 0.95.

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Basic Statistics: Population computed from a random sample
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