Question: 1. Suppose X is a random variable with population mean X, and finite variance. Suppose we observe a random sample of X and estimate X

1. Suppose X is a random variable with population mean X, and finite variance. Suppose we observe a random sample of X and estimate X with the sample average X = P N i=1 Xi/N. The law of large numbers says that, as the sample size increases [a] The value of X will converge to 0. [b] The sample average will increase. [c] The distribution of the sample average is approximately normal with mean 1 and variance zero. [d] The population mean of the sample average is approximately a normal with mean 0 and variance 1. [e] none of the above. 2. If E(i |Xi) = 0, where i is the stochastic error term and Xi is the regressor in the univariate regression model Yi = + Xi + i , the OLS estimator OLS [a] is consistent and unbia

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