Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 15 - 18 of 54

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Question number: 15

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If Equation are random observations on a Bernoulli variate X taking the value 1 with probability Equation and the value 0 with the probability Equation then Equation is a Consistent estimator of Equation . This statement is

Choices

Choice (4) Response

a.

Since Equation is not a consistent estimator of Equation , this is false.

b.

False

c.

True

d.

None of the above

Question number: 16

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let Equation be a random sample of size n = 3 from a distribution with mean Equation and variance Equation . Then Equation is a unbiased estimator of

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

None of the above

Question number: 17

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

An estimator Equation is said to be sufficient for a parameter, if it contains

Choices

Choice (4) Response

a.

If the conditional distribution of Equation , given T is independent of the parameter.

b.

All the information in the sample regarding the parameter.

c.

Both a. and b. are correct

d.

None of the above

Question number: 18

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A random sample Equation of size 5 is drawn from a normal population with unknown mean Equation . Then Equation is a unbiased estimator of

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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