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QUESTION
Let P_1,.,P_400 be a sample computed by P = X + Y^2 + Z^3 + W^4, where X_1, X_2, ., X_400 Y_1, Y_2, ., Y_400 Z_1, Z_2, ., Z_400 W_1, W_2, ., W_400...
P = X + Y^2 + Z^3 + W^4, where
X_1, X_2, .., X_400Y_1, Y_2, .., Y_400Z_1, Z_2, .., Z_400W_1, W_2, .., W_400are samples from Uniform(0,1) distribution. Find 90% confidence interval for the variance of P. Note: Use at least fifty thousand simulated samples to generate sampling distr. for the variance of P.
