Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 11 - 14 of 222

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Question number: 11

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let Equation be a random sample of size n = 3 from a distribution with mean Equation and varianceEquation . If Equation , Equation and Equation . Which one is the best estimator in terms of variance?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 12

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let Equation be a random sample of size n with meanEquation and variance Equation Then which of the following statements is true?

Choices

Choice (4) Response

a.

The sample mean and sample variance are unbiased estimators of the mean and variance of the underlying distribution.

b.

Sample mean is unbiased estimator and sample variance is biased estimator.

c.

The sample mean and sample variance are biased estimators

d.

All of the above

Question number: 13

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Bias of an estimator can be:

Choices

Choice (4) Response

a.

Positive

b.

Negative

c.

Zero

d.

Both a. and b. are correct

Question number: 14

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If Equation is a random sample from a normal distribution Equation . Then the unbiased estimator of Equation is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

μ

d.

Equation

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