Statistical Inference and Hypothesis Testing-Characteristics of Good Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 19 - 23 of 54

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Question number: 19

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If Equation , then which of the following is true?

Choices

Choice (4) Response

a.

Equation is a Unbiased estimator Equation

b.

Equation is a biased estimator of Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 20

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If the mean of the estimator is not equal to the population parameter, the estimator is said to be:

Choices

Choice (4) Response

a.

Biased

b.

Positively biased

c.

Unbiased

d.

Negatively biased

Question number: 21

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If Equation is a random sample from a Bernoulli population with parameter Equation , then Equation is

Choices

Choice (4) Response

a.

An unbiased estimator of Equation

b.

A biased estimator of Equation

c.

An unbiased estimator of Equation +1

d.

None of the above

Question number: 22

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If Equation are normally distributed random variables with mean μ and variance Equation , then sample variance is

Choices

Choice (4) Response

a.

Unbiased estimate of population variance Equation

b.

Equation

c.

Not an unbiased estimate of population variance Equation

d.

Both b. and c. are correct

Question number: 23

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let Equation be a random sample from a uniform population on [0, Equation ]. Then the sufficient estimator for Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Question does not provide sufficient data or is vague

d.

All of the above

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