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

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 

are 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.

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