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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.
A Statistic professsor plans classes so carefully that the lenths of her classes are uniformly distributed between 46.0 and 56.0 minutes. Find the probability that a given class runs less than 51.5 minutes. Find the probability of selecting a clas..
Drug sniffing dogs must be 95% accurate. A new dog is being tested and is right in 46 of 50 trials. Find a 95% confidence interval for the proportion of times the dog will be correct.
Assuming that the Poisson distribution is a plausible model in describing variability of asbestos fiber counts in filters; derive a 95% confidence interval indicating the variability in the average number in asbestos fibers.
With the sample standard deviation of 12 lbs. Determine the 90% confidence interval of true mean weight of all college wrestlers.
What is probability that all specimen of one of the two types of rock are selected for analysis?
An assumption for a significance test of the correlation coefficient is that the populations, the variance of each variable is the same at each point of the other variable.
Construct a probability for the number of students in the sample who watch soap operas.
The weight for a group of 18 month-0ld girls are normally distributed with a mean of 24.4 pounds and a standard deviation of 2.6 pounds. Use the table to find the percentage of 18 month-old girls who weigh more than 27.8 pounds.
Research has shown that the people often see a correlation between two events when one does not really exist. Why do you think this happens?
A popular snack is packed by machine into 9-ounce boxes. The distribution of box weights is normally distributed with a mean of 9 ounces and a variance of 0.01 ounces. What is the probability of randomly selecting a box containing less than 8.9 ou..
The probability is 90% that the sample percentage is contained within what symmetrical limits of the population percentage?
For these 4 questions below what would be the independent and dependent variables, the level of measurement and whether or not the variable is discrete or continuous.
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