Question: Use the information in Table 5.11 on the sampling distributions of the estimators ????1 and ????2 used to estimate ???? to answer the following questions.

Use the information in Table 5.11 on the sampling distributions of the estimators ????1 and ????2 used to estimate ???? to answer the following questions.

Estimator Mean T 0.980 T Standard Deviation 50 5.50

(a) Determine the bias of the estimator ????1.

(b) Determine the bias of the estimator ????2.

(c) Is either of the estimators ????1 and ????2 an unbiased estimator of ????? Why?

(d) Compute the value of the mean squared error for the estimator ????1 when ???? = 10.

(e) Compute the value of the mean squared error for the estimator ????2 when ???? = 10.

(f) Which of the estimators ????1 and ????2 is a more accurate estimator of ???? when ???? = 10? Explain.

Estimator Mean T 0.980 T Standard Deviation 50 5.50

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