ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 241 - 243 of 246

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Question number: 241

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

For a normal population Equation , the variance of the sample mean and sample variance are given by Equation and Equation . Then which of the following is true?

Choices

Choice (4) Response

a.

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

b.

Sample mean and Sample median are efficient

c.

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

d.

All of the above

Question number: 242

» Statistical Inference and Hypothesis Testing » Simple and Composite Hypotheses

MCQ▾

Question

A Statistical Hypothesis, which does not specifies the population completely, is known as

Choices

Choice (4) Response

a.

Composite Hypothesis

b.

Simple Hypothesis

c.

Null Hypothesis

d.

Alternative Hypothesis

Question number: 243

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

Which of the definition is true for Sufficiency of an estimator?

Choices

Choice (4) Response

a.

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

b.

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

c.

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

d.

All a. , b. and c. are correct

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