Statistical Inference and Hypothesis Testing-Minimum Variance Unbiased Estimators (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 8 - 10 of 15

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Question number: 8

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If Equation and Equation are two estimators for Equation , such that Equation and Equation , then

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Either Equation or Equation

d.

Question does not provide sufficient data or is vague

Question number: 9

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

For a normal population Equation , both sample mean and sample median are unbiased and consistent estimators of Equation . In this case, which one will be the efficient estimator?

Choices

Choice (4) Response

a.

Sample mean is more efficient estimator of Equation than the sample median.

b.

Sample median is more efficient estimator of Equation than the sample mean

c.

Sample mean and Sample median are equally efficient

d.

All of the above

Question number: 10

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

Suppose Equation are the unbiased estimators of Equation with Efficiencies Equation and Equation respectively. and Equation is the correlation coefficient between them. Then

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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