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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 .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 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.
The perimiter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?
Peak elevation. The tallest mountain in the world, as measured from base to peak, is Mauna Kea in Hawaii. From a base 19,684 ft below sea level, it rises 33,480 ft. What is the elevation of its peak?
What is the circumference of the circle when A is a minium?
Find the sample size on normal distribution
here is a table of rabbit growth population, from years 0 yo 4, year 0 has 100 rabbits, year 1 has 180, year 2 has 325 rabbits, year 3 has 583 rabbits
what is the maximum product of two numers that add to 26? what numbers yeild to this product?
Five numbers are chosen at random from the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, without replacement. What is the probability that all the numbers are even?
A car is traveling at 94 km/h when the driver sees an accident 50 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
Calculate the critical value
Suppose you are going to flip a coin once. What is the set of possible outcomes for this? Suppose you are going to flip a coin twice. What is the set of possible outcomes for this?
a rancher has 450 ft. of fencing with which to enclose two corrals. The rancher wishes to contruct two corrals next to each other.
At Western University, the historical mean of scholarship examination scores for freshmen applications is 900. A historical population standard deviation is 180. Each year, the assistant dean uses a sample of applications to determine whether the ..
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