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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.
Find the probability that a customer with 2 or more late payments will actually default on his payments and, in light of this probability, criticize the manager's credit plan.
The researcher computes the sum of squares for groups as SSG = 40030 and the sum of squares for error as SSE = 414780. The numerical value of the ANOVA F statistic is
Why are samples studied when we want to know about populations? Why are random samples used instead of just any sample? How would you determine an appropriate sample size?
The weekly demand for a product follows a normal curve with an average of 1000 units and a standard deviation of 200 units. In how many weeks during a typical 52-week year would be above 800 units?
The floor plan of a house is rectangular. The house's length is 2x-10 and its width is x+3. Write an expression for the area of the house
The density curve shown to the right takes the value 0.5 on the interval 0 ≤ x ≤ 2 and takes the value 0 everywhere else. What percent of the observations lie between 0.5 and 1.2?
A data set comprises of set of numerical values. Which, if any, of the following statements could be right? Point to whether given statement could apply to data set consisting of 1,000 values which are all different.
You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n=10, you determine that r=0.80.
A professor of math refutes the claim that the average student spends 3 hours studying for the midterm exam. Which hypothesis is used to test the claim?
A random sample of 9 homes was selected in the neighborhood. What's an estimate of the average price of the houses in the sample?
Which statistical analysis technique should be used? What is the null hypothesis? Can an analysis be performed? Why or why not?
Think about how correlation is often miscast as causation. That is, cause is attributed to a variable when in fact.
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