ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 161 - 163 of 253

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Question number: 161

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

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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.

Question does not provide sufficient data or is vague

Question number: 162

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

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Question

Consider the general form of confidence interval for the mean .

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

Choices

Choice (4) Response

a.

Point estimate, Standard deviation

b.

Critical value, Standard Error

c.

Control limit, variance

d.

None of the above

Question number: 163

» Statistical Inference and Hypothesis Testing » Factorization Theorem

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

Choices

Choice (4) Response

a.

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

b.

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

c.

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

d.

Question does not provide sufficient data or is vague