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

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## Question number: 241

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

Sample mean is more efficient estimator for than the sample median

b.

Sample mean and Sample median are efficient

c.

Sample median is more efficient estimator for than the sample mean

d.

All of the above

## Question number: 242

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

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

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

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.

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

d.

All a. , b. and c. are correct

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