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. After a month in the?room, each individual tended to develop a steady cycle. Their cycles at the end of the study were 24?, 27?, 24?, 22?, 24?, 26?, 27?, and 25 . Using the 0.05 level of?significance, what should be concluded about the theory that 24 hours is the natural?cycle? Complete parts?(a) through?(c) below.

(b) Sketch the comparison distribution. In the sketches below, the arrows point to the score of the sample. Choose the correct graph below. O A. O B. O C. OD. O E. OF. O O G. OH. O (c) Explain the answer to someone who has never taken a course in statistics. The sample's score was extreme than the cutoff sample score(s), (a) value(s) that represent(s) how extreme a sample score would need to be in order to decide against the null hypothesis, the hypothesis that there is no effect. This means the probability of that sample score occurring, given that the null hypothesis is true, is than 0.05. With this knowledge, one should the null hypothesis.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. After a month in the room, each individual tended to develop a steady cycle. Their cycles at the end of the study were 24, 27, 24, 22, 24, 26, 27, and 25 . Using the 0.05 level of significance, what should be concluded about the theory that 24 hours is the natural cycle? Complete parts (a) through (c) below. Click the icon to view Cutoff Scores for the t Distribution. (a) Use the steps of hypothesis testing. Determine the null and research hypotheses. Null hypothesis: There is no difference in the average sleep-wake cycle of the participants compared to a 24-hour cycle of sleeping and waking. O True O False Research Hypothesis: There is a difference in the average sleep-wake cycle of the participants compared to a 24-hour cycle of sleeping and waking. O True O False Determine the cutoff sample score(s). The cutoff sample score(s) is/are. (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the sample's score on the comparison distribution. The sample's score on the comparison distribution is (Round to two decimal places as needed.) Decide whether to reject the null hypothesis. the null hypothesis because the sample's score is extreme than the cutoff sample score(s)