In: Statistics and Probability
Suppose X1, X2, , ... , X10is a random sample from a
distribution with mean u and variance 6. Also, is a
random sample from a distribution with mean u and variance 30.
These samples are independent as well.
a. Is 0.2X + 0.8Y unbiased?
Cannot be determined from this information or Yes or No
b. What is the MSE of u? Round to 2 decimals.
c. Based on the MSE criterion, is mu (u ), X (x bar), or Y (y bar)
preferable?
Cannot be determined from this information , Y , X , u