Question

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 wakingdash–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 2424​, 2828​, 2424​, 2222​, 2525​, 2626​, 2626​, and 2525 . Using the 0.05 level of​ significance, what should be concluded about the theory that 24 hours is the natural​ cycle

Answer 1

Answer:

Step-by-step explanation:

Given that evolution theory hypothesizes that people should spontaneously follow a​ 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.

Sample size n = 8

df = 8- 1=7

Since population std deviation is not known, and sample size is small we can use only t test

$H-0: x bar = 24\\H_a: x bar \neq 24$

(two tailed test at 5% level of significance)

24

28

24

22

25

26

26

25

 

mean 25

 

sd 3.142857143

 

se 1.111167799

Test statistic = Mean diff/se = 1.595

p = 0.1546

since p >0.05, accept null hypothesis.

There is no evidence to prove that the steady cycle is different from 24 hours.