Which of the following best describes the variability of T1 and T2 ? Tị has a lower variability compared with T2. Tị has a higher variability compared with T2 . Tị has the same variability as T2 . Which of the following statements is true? Tz is relatively more efficient than T, when estimating 0. T, is relatively more efficient than T2 when estimating 0. You cannot compare the relative efficiency of T1 and T2 when estimating 0.

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2. The bias and variability of a point estimator
Two sample statistics, T1 and T2, are used to estimate the population parameter 0. The statistics T1 and T2 have normal sampling distributions,
which are shown on the following graph:
Sampling Distribution 1
Sampling Distribution 2
The sampling distribution of T1 is labeled Sampling Distribution 1, and the sampling distribution of T2 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 T1 is
estimator of 0. The statistic T2 is
estimator of 0.
Transcribed Image Text:2. The bias and variability of a point estimator Two sample statistics, T1 and T2, are used to estimate the population parameter 0. The statistics T1 and T2 have normal sampling distributions, which are shown on the following graph: Sampling Distribution 1 Sampling Distribution 2 The sampling distribution of T1 is labeled Sampling Distribution 1, and the sampling distribution of T2 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 T1 is estimator of 0. The statistic T2 is estimator of 0.
Which of the following best describes the variability of Tị and T2 ?
T1 has a lower variability compared with T2 .
Ti has a higher variability compared with T2 ·
Tị has the same variability as T2 .
Which of the following statements is true?
T2 is relatively more efficient than T1 when estimating 0.
T1 is relatively more efficient than T2 when estimating 0.
You cannot compare the relative efficiency of T1 and T2 when estimating 0.
Transcribed Image Text:Which of the following best describes the variability of Tị and T2 ? T1 has a lower variability compared with T2 . Ti has a higher variability compared with T2 · Tị has the same variability as T2 . Which of the following statements is true? T2 is relatively more efficient than T1 when estimating 0. T1 is relatively more efficient than T2 when estimating 0. You cannot compare the relative efficiency of T1 and T2 when estimating 0.
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