Question

Which of the following would be a correct interpretation of a 99% confidence interval such as 4.1<μ<5.6?

Choose the correct answer below.

A.
It means that 99% of all data values are between 4.1 and 5.6.

B.
There is a 99% chance that μ will fall between 4.1 and 5.6.

C.
It means that 99% of sample means fall between 4.1 and 5.6.

D.
We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of μ.

Answer 1

Answer: Choice D

Explanation:

Imagine you randomly selected n items to form a sample, and you did this 100 times. Each time doing a trial like this, we generate a confidence interval. We expect about 99 of those times to have a confidence interval containing the true value of μ. This is what it means when we say "We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of μ."