Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 37 - 41 of 222

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Question number: 37

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Estimate is the observed value of an:

Choices

Choice (4) Response

a.

Statistical hypothesis

b.

Stastical Inference

c.

Estimator

d.

None of the above

Question number: 38

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

If Equation is a random sample drawn from a population which takes the values 1 or 0 with respective probabilities Equation and Equation , then Equation is

Choices

Choice (4) Response

a.

An unbiased estimator of Equation

b.

An unbiased estimator of Equation

c.

A biased estimator of Equation

d.

All of the above

Question number: 39

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A statistic is biased if the mean of the sampling distribution of the statistic is

Choices

Choice (4) Response

a.

Equal to the parameter

b.

Not equal to the parameter.

c.

Less than the parameter

d.

Question does not provide sufficient data or is vague

Question number: 40

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

The mean of a random sample Equation is always a consistent estimator of the population mean μ. This statement is

Choices

Choice (4) Response

a.

True for all distributions

b.

False

c.

True only for Bernoulli distribution

d.

All of the above

Question number: 41

» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood

MCQ▾

Question

If T is the MLE of Equation and Equation is one to one function of Equation , then Equation is the MLE of Equation . This is known as the

Choices

Choice (4) Response

a.

Asymptotic Normality of MLE

b.

Consistency property of MLE

c.

Invariance property of MLE

d.

None of the above

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