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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 a linear function G(p) that gives the number of gallons sold as a function of the price of the milk.
Describe and analyze your quantitative data and Briefly address the data analysis process.
Use normal approximation to determine probability that x = 2. Illustrate all work.
Suppose you roll a standard die 2000 times and let X be the sum of the values you get. Using the Central Limit Theorem, for what value of a is P[X >= a] approximately equal to P[N(0,1) >= 2] ?
A random sample of 300 beer drinkers is selected and each member of the sample is asked to choose between two brands of beers: Brand A and Brand B. The results are that 165 prefer Brand A and 135 prefer Brand B.
Determine a 90% confidence interval estimate of the mean head circumference of all two-month-old babies.
The following data represents the running time of films produced by 2 motion picture companies. Assume these are independent samples
A pair of dice is rolled. What is the probability of each of the following? (Round your answers to three decimal places.)
Standard deviation of sample was $3.53. Determine point estimate of population mean. Determine the 95% confidence interval of population mean. Suppose the variable is normally distributed.
A straight rod is formed by connecting three sections A, B and C, each of which is manufactured on a different machine. The length of section A, in inches has a normal distribution with mean 20 and variance 0.04.
What is the equation for this regression model?
Find out the probbility that exactly five arrive within two days?
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