Evolutionary theories often emphasize that humans have adapted to their physical environment.

14. Evolutionary theories often emphasize that humans have adapted to their physicalenvironment. One such theory hypothesizes that people should spontaneouslyfollow a 24-hour cycle of sleeping and waking—even if they are not exposed tothe usual pattern of sunlight. To test this notion, eight paid volunteers wereplaced (individually) in a room in which there was no light from the outside andno clocks or other indications of time. They could turn the lights on and off asthey wished. After a month in the room, each individual tended to develop asteady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23,24, 25, 26, and 25.Using the .05 level of significance, what should we conclude about thetheory that 24 hours is the natural cycle? (That is, does the average cycle lengthunder these conditions differ significantly from 24 hours?) (a) Use the steps ofhypothesis testing. (b) Sketch the distributions involved. (c) Explain your answerto someone who has never taken a course in statistics