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Suppose that Y1, Y2, Y3, and Y4 have a multinomial distribution with n trials and probabilities p1, p2, p3, and p4 for the four cells. Just as in the binomial case, any linear combination of Y1, Y2, Y3, and Y4 will be approximately normally distributed for large n.
a) Determine the variance of Y1-Y2. [Hint: Recall that the random variables Yi are dependent.]
b) A study of attitudes among residents of Florida with regard to policies for handling nuisance alligators in urban areas showed the following. Among 500 people sampled and presented with four management choices, 6% said the alligators should be completely protected, 16% said they should be destroyed by wildlife officers, 52% said they should be relocated live, and 26% said that a regulated commercial harvest should be allowed. Estimate the difference between the population proportion favoring complete protection and the population proportion favoring destruction by wildlife officers. Use a confidence coefficient of .95.
A random sampling of financial analysts was asked to provide forecasts of earnings per share of a corporation's stock for the next year. The results are summarized as follows:
the table gives population densities for ring-necked pheasants in number of pheasants per acre on pelee island
What is the minimum sample size required to assure that your sample proportion "p" will be within the required margin of error around the population proportion "p". Use the traditional methods for testing hypotheses and show the results of all ste..
Determine the least square trend equation. Estimate the number of employees in 2008. By how much the number of employees decreases (or increases) per year on the average?
a researcher wishes to estimate the percentage of adults who support abolishing the penny. what size sample should be
during each summer many families spent part of their vacation time at a beach along the east or west coast. due to the
1.In a study of caffeine and stress, college students indicate how many cups of coffee they drink per day and their stress level on a scale of 1-10. The data appear below:
Determine the coefficient of correlation. Interpret the relationship between BAC and age using the correlation coefficient. Determine the coefficient of determination. Interpret.
The test grades at a large school have an approximately normal distribution with a mean of 50. What is the standard deviation of the data so that 80% of the students are within 12 points (above or below) the mean?
A sample of 40 observations is selected from one somewhat normal population. The sample mean is 102 and the sample standard deviation is 5.
Test the hypothesis that the annual income of teachers in areas of more than 500,000 is significantly more than those in areas of less than 100,000. Use the 5% level of risk.
1. what is the r value for the relationship between hamstring strength index 60degs and the shuttle run test? is this r
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