852 Chapter 12 Simulation c. Use simulation to assess the
Chapter 12, Problem 11(choose chapter or problem)
852 Chapter 12 Simulation c. Use simulation to assess the approximation in Welchs procedure. In particular, set the ratio 2/1 equal to each of the numbers 1, 1.5, 2, 3, 5, and 10 in succession. For each value of the ratio, simulate 10,000 samples of sizes n = 11 and m = 10 (or the appropriate summary statistics). For each simulated sample, compute the test statistic V and the 0.9, 0.95, and 0.99 quantiles of the approximate t distribution that corresponds to the data in that simulation. Keep track of the proportion of simulations in which V is greater than each of the three quantiles. How do these proportions compare to the nominal values 0.1, 0.05, and 0.01?
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