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Suppose X1 and X2 are random variables of the discrete type which have the joint pmf p(X1,X2)=(X1+2X2)/18, (x1,x2)=(1,1),(1,2),(2,1),(2,2), zero elsewhere. Determine the conditional mean and variance of X2, given X1=x1, for x1=1 or 2. Also compute E(3X1-2X2)
How many participants need to be enrolled in each group to have 90% chance of detecting a significant difference using a two-sided test with a a= .05 if compliance is perfect?
A sample of 12 homes sold last week in St Paul, Minnesota, is selected. The results are shown below and create a scatterplot. Insert the trendline into the graph and show the regression equation.
Can you envision circumstances under which these outcomes would not be normally distributed? Provide three distinct examples of the business outcomes that are not normally distributed.
The inspector samples 12 cases at random, and subsamples 3 cans randomly from each selected case. Estimate the total number of worm fragments, along with a 95% confidence interval.
In ANOVA, what does F=1 mean? What are the differences between a two sample t-test and ANOVA hypothesis testing?
Find the critical value Zc necessary to form a confidence interval at the given level of confidence.
Would it be appropriate to say the coefficient of determination (R-squared) is the proportion of variation in Y due to the variation within each of the categories of X?
Which of the following would be an appropriate alternative hypothesis?
A producer of pleasure boats wants to maximize revenue during the next month. Two types of boats are sold, x1 and x2. Type x1 sells for $40,000 and type x2 sells for $30,000. The x1 boats require 10 weeks of labor and 600 board feet of lumber each..
Define null and alternative hypothesis and, using sample info. Test manufacturer's claim at 0.01 (1%) level of significance.
How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis?
The mean income of a group of sample observations is $500; the standard deviation is $40. According to Chebyshev's theorem, at least what percent of the incomes will lie between $400 and $600?
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