Question: Following are two confidence interval estimates of the mean \(\mu \) of the cycles to failure of an automotive door latch mechanism (the test was conducted at an elevated stress level to accelerate the failure)

\[3124.9\le \mu \le 3215.7\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,3110.5\le \mu \le 3230.1\]

(a) What is the value of the sample mean cycles to failure?

(b) The confidence level for one of these CI’s is 95% and the confidence level for the other is 99%. Both CI’s are calculated from the same sample data. What is the 95% CI?