The 95 confidence interval for the average lifetime of light

The 95% confidence interval for the average lifetime of light bulbs is (166, 198) hours.

Which of the following is correct?
A) 95% of all light bulbs will last between 166 hours and 198 hours
B) There is a 95% probability the true average lifetime is between 166 and 198 hours
C) If we did 100 samples, about 95 of them would correctly capture the true average
D) The true average is between 166 and 198 about 95% of the time
E) We are 95% confident the next light bulb will last between 166 and 198 hours

Solution

C) is the only correct option.

CI is interpretted as: we are 95% confident that true mean is in this itnerval because the procedure we used captures true mean in 95% of the random samples.