Question

Which of the following would be a correct interpretation of a​ 99% confidence interval such as 4.1​5.6? Choose the correct answer below. A. We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of . B. It means that​ 99% of sample means fall between 4.1 and 5.6. C. It means that​ 99% of all data values are between 4.1 and 5.6. D. There is a​ 99% chance that will fall between 4.1 and 5.6.

Answer 1

A. We are​ 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of population mean.

Explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval means that we are 99% sure that this interval contains the population mean.

Interval between 4.1 and 5.6.

So the correct answer is given by option A.