Suppose that adult glucose levels are Normally distributed with a mean of 99 mg/dL (milligrams per decilitre) and a standard deviation of 16 mg/dL. We take an SRS of 145 adults, measure their glucose levels, and calculate the sample mean.
c)What is the probability that the mean of a sample of size 145 is greater than 125 mg/dL? (You can use R or hand-calculations, but make sure to show all work.)
(d) Between which values would the middle 60% of sample means lie?