APFIVE Bias and Standard Error of an Estimator
A point estimator θ̂ has a sampling distribution with mean equal to θ+3 and standard deviation 5, where θ is the parameter being estimated. Which of the following is true?
A
θ̂ is unbiased with standard error equal to 5
B
θ̂ is unbiased with bias equal to 0
C
θ̂ is biased with bias equal to 3
D
θ̂ is biased with bias equal to 5
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