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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.
If the supermarket begins each morning with a stock of 61 cartons of eggs, approximately what percentage of days will there be a surplus of eggs?
Chi-square tests are great to show if distributions differ or if two variables interact in producing outcomes. What are some examples of variables that you might want to check using the chi-square tests? What would these results tell you?
There are three types of bread, three types of meat, three types of cheese, and four types of topping. How many different sandwiches can the restaurant make?
Based upon all of this information, do a "goodness-of-fit" test to see if the distributions are the same as they were two years ago. Use a level of confidence of .01. Should we accept Ho or reject Ho?
Does this data provide evidence at the .05 significance level that there is a difference in the proportion of humorous ads in British versus American trade magazines? Please show work.
Samples t test and one that would require a dependent samples t test. And explain what they mean and why they are independent or dependent samples.
What's the probability that fewer than 2 of the randomly selected truck drivers are women? What is the expected number of women in a random selection of 20 truck drivers?
The strength of the linear relationship between two numerical variables may be measured by the
What is the probability that a random person has an IQ between 85 and 115? Find the 90th percentile of the IQ distribution.
If the bid is accepted , the company will make $36000 minus the cost of the bid. What is the expected value in this situation?
Which of the following exam scores should lead to the better grade?
Find the correlation coefficient for the data. Find the equation for the regression line for the data and predict the final grade of a student who misses 3.5 days.
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