Question: In measuring the diameter of a cylinder to the nearest millimeter the sample space (in cm) is S = {5.3, 5.4, 5.5, 5.6, 5.7}. Five cylinders are randomly selected and their diameters are measured to the nearest millimeter.
(a) Describe the sample space of this experiment. What is the size of this sample space?
(b) Describe the sample space if only the average of the five measurements is recorded, and use R commands similar to those used in Example to determine the size of this sample space.
Example: Three undergraduate students from a particular university are selected and their opinions about a proposal to expand the use of solar energy are recorded on a scale from 1 to 10.
(a) Describe the sample space of this experiment. What is the size of this sample space?
(b) Describe the sample space if only the average of the three responses is recorded. What is the size of this sample space?