Question 263707: Here is a question that I am working on for statistics, I already have the answer from a friend, but would really rather understand how to do this problem. Could you please help me understand the steps so that I can finish the assignment on my own? Thank you so much!
Evolutionary theories often emphasize that humans have adapted to their physical
environment. One such theory hypothesizes that people should spontaneously
follow a 24-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, and 25.Using the 5% 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
these conditions differ significantly from 24 hours?) (a) Use the steps of hypothesis
testing. (b) Sketch the distributions involved. (c) Explain your answer
to someone who has never taken a course in statistics.
Answer by richwmiller(17219)   (Show Source):
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