Question

a 95% confidence interval is 6331 < μ < 6369, where μ is the mean diameter of the earth. state the statistical interpretation.
there is a 95% probability that the true mean diameter of the earth is between 6331 and 6369.
the mean diameter of the earth is between 6331 and 6369.
with 95% confidence, it can be said that the true mean diameter of the earth is between 6331 and 6369.

Explanation:

A 95% confidence interval means that if we were to take many samples and construct confidence intervals in the same way, about 95% of those intervals would contain the true population parameter. In this case, the parameter is the true mean diameter of the Earth. We are 95% confident that the true mean diameter lies within the given interval, not that there is a 95% probability that it does (since the true mean is a fixed value, not a random variable in the frequentist sense).

Answer:

With 95% confidence, it can be said that the true mean diameter of the Earth is between 6331 and 6369.