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Question: Perform a simulation study on the sensitivity of the χ2 test for the uniform distribution to expected cell counts below 5. Simulate the distribution of the test statistic for 40, 50, 60, and 70 observations from a uniform distribution using 8, 10, and 12 equal-length bins.
What is the null hypothesis? Use a = 0.05 .
Let X1 and X2 denote the proportion of two different chemicals found in a sample mixture of chemicals and used as an insecticide. Suppose X1 and X2 have the joint probability density function given by:
Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of X is a. Verify that f (x) is a legitimate pdf.
A recent national survey found that high school students watched an average (mean) of 7.5 DVDs per month with a population standard deviation of .60.
What is the independent variable in this example? Is it nominal or scale? If nominal, what are the levels?
the assessment data were gathered from 20 homes in milwaukee wisconsinneighborhood. fit the regression model.total
To test the relationship between sex and responsiveness to feedback, a group of men and women were given a vignette describing a person of the opposite sex.
What if the probability of heads is 0.25? In the Probability applet, set the probability of heads to 0.25. Explore what happens for different numbers of tosses. Summarize what you have learned.
In your next five races, what is the probability that you will swim under a minute exactly twice?
Ignoring the fact that the Student Monitor used a more complex sampling design and, instead, treating it as an SRS, what is the margin of error of their estimate for 95% confidence?
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability that the sample mean is Between 74 and 76.
Make a decision regarding the null hypothesis. Is there a significant difference in the class ranks of men and women?
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