Question

A 95% confidence interval for the mean ? ? of a population is computed from a random sample and found to be 10±4 . We may conclude

A. that there is a 95% probability that ? is between 6 and 14.
B. that if we took many, many additional samples and from each computed a 95% confidence interval for ? , approximately 95% of these intervals would contain ? .
C. 95% of the population is between 6 and 14. D. that there is a 95% probability that the true mean is 10 and a 95% chance the true margin of error is 4.
E. All of the above.

Answer 1

With the computation of 95% confidence intervals from numerous additional samples, it can be inferred that approximately 95% of these intervals would encompass the true population mean