A sample of 37 AA batteries had a mean lifetime of 584 hours. A 95% confidence interval for the population mean was 579.2

Question

A sample of 37 AA batteries had a mean lifetime of 584 hours. A 95% confidence interval for the population mean was 579.2 < μ < 588.8. Which statement is the correct interpretation of the results?
A)We are 95% confident that the mean lifetime of all the bulbs in the population is between 579.2 hours and 588.8 hours.
B)The probability that the population mean is between 579.2 hours and 588.8 hours is 0.95.
C)95% of the light bulbs in the sample had lifetimes between 579.2 hours and 588.8 hours.
D)None of these statements correctly interpret the results.

Quizplus · Accepted Answer

A 95% confidence interval means that we are 95% confident or certain that the population mean falls within the interval of 579.2 to 588.8 hours. This does not mean that the probability of the population mean falling within this range is 0.95, nor does it say anything about individual items within the sample falling within this range.

A Sample of 37 AA Batteries Had a Mean Lifetime