Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a24-hour cycle of sleeping and waking—even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed(individually) in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights on and off as they wished.After a month in the room, each individual tended to develop a steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23, 24, 25, 26, and25. Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under theseconditions differ significantly from 24 hours?) (a) Use the steps of hypothesis testing. (b) Sketch the distributions involved, (c) Explain your answer to someone whohas never taken a course in statistics.
As far as the sketch goes, I am under the impression that any type of sketch would work. Any type of paint program or anything else you can think of. I don't even knowwhere to start with doing this.