3. An experiment is designed to measure the time necessary for a robotic lens to adapt to reduced light. We have n=50 observations from the repeated experiments. The sample mean, X, was 6.32 seconds and the sample standard deviation, 3, was 1.65 seconds. XM 0/ n a. Using the central limit theorem, what approximate distribution does follow, where a is S the true population mean and a is the true population standard deviation? b. Compute an approximate 95 percent condence interval for the true average adaptation time (1\")