Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 137 - 139 of 222

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Question number: 137

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

By the method of moments one can estimate

Choices

Choice (4) Response

a.

All Moments of a population distribution

b.

All constants of a population

c.

Only mean and variance of a distribution

d.

None of the above

Question number: 138

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Consider the general form of confidence interval for the mean Equation .

In this expression Equation is known as ………. and Equation is known as ……………….

Choices

Choice (4) Response

a.

Critical value, Standard Error

b.

Point estimate, Standard deviation

c.

Control limit, variance

d.

All of the above

Question number: 139

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

Which of the following definitions of Sufficiency of a estimator is known as Fisher-Neyman Factorization Theorem?

Choices

Choice (4) Response

a.

An estimator Equation is said to be sufficient for Equation if it provides all the information contained in the sample about the parametric function Equation

b.

If Equation is a estimator of parameter Equation based on a sampleEquation of size n from the population with density Equation such that the conditional distribution of Equation given T is independent of Equation then T is sufficient estimator of Equation .

c.

A statistic Equation is sufficient estimator of parameter Equation if and only if the likelihood function (joint p. d. f. of the sample) can be expressed as Equation where Equation is the p. d. f. of statisticEquation and Equation is a function of sample observations only independent of Equation

d.

All of the above

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