An experiment is done where samples are taken from a large population and an ari

Question

An experiment is done where samples are taken from a large population and an arithmetic average (mean) is calculated along with a 2-sigma confidence interval. If this experiment and these calculations are repeated many times, which of the following is a true statement.

a. 95% of the time the average values will be equal to the populations mean.

b. 95% of the time the confidence intervals will be the same.

c. The true population mean will be within the calculated confidence intervals 95% of the time.

d. 19 times out of 20, the mean will be below the upper limit of the confidence intervals.

Explanation / Answer

An experiment is done where samples are taken from a large population and an arithmetic average(mean) is calculated along with a 2 sigma confidence interval. If this experiment and these calculations are repeated many times, which of the following is a true statement:

c) The true population mean will be within the calculated confidence intervals 95%of the time.

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