Question: Two sample statistics, Ti and Te, are used to estimate the population parameter 0. The statistics Ti and T2 have normal sampling distributions, which are


Two sample statistics, Ti and Te, are used to estimate the population parameter 0. The statistics Ti and T2 have normal sampling distributions, which are shown on the following graph: Sampling Distribution 2 Sampling Distribution 1 The sampling distribution of Ty is labeled Sampling Distribution 1, and the sampling distribution of Ty is labeled Sampling Distribution 2. The dotted vertical line indicates the true value of the parameter 0. Use the information provided by the graph to answer the following questions. The statistic T, is a biased estimator of 0. The statistic Ty is an unbiased W estimator of 6. Which of the following best describes the variability of T, and Ta? Ti has the same variability as Tz. O Ti has a higher variability compared with Tz. O Ti has a lower variability compared with Tz- Which of the following statements is true? O To is relatively more efficient than Tz when estimating 0. Tz is relatively more efficient than T: when estimating 0. O You cannot compare the relative efficiency of T: and To when estimating 0
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