The army reports that the distribution of head circumference among male soldiers is approximately normal with a mean circumference of 22.8 inches and standard deviation of 1.1 inches. Use the Empirical Rule intervals to answer the following questions.
A. A male soldier whose head circumference is 22.8 inches would be at what percentile?
B. Using the empirical rule, what percent of male soldiers have a head circumference between 19.5 inches and 23.9 inches?
C. Using the empirical rule, what is the head circumference (in inches) that represents the 16th percentile?
D. At this point of the course, we now know how to work with the standard normal distribution in Minitab (or StatHelper or the Z table). Using the Probability Distribution Plot feature taught in Week 6, generate the head circumference that represents the 30th percentile. Show your output and clearly state your answer.
E. Interpret the percentile found in part D.