Question

Interpret the following 95% confidence interval for the white blood cell counts for the population of men. 6.50 < mu < 7.59

Answer 1

Interpretation:

We are 95% confident that the mean white blood cell counts for the population of men will lie between 6.5 and 7.59.

Also, we can say that if the process of counting of white blood cells for the population of men is repeated many times then about 95%, percent of the intervals produced will capture the true mean counts of white blood cells in males.

Explanation:

A confidence interval tries to capture the true value of the parameter it's estimating, which in this case is the true mean count of the white blood cells in males. The confidence level,95% tells us the long-term capture rate of these intervals over repeated samples.