ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 56 - 59 of 246

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Question number: 56

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

A random sample Equation of size 5 is drawn from a normal population with unknown mean Equation . Then Equation is a unbiased estimator of

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 57

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

For normal distribution

Choices

Choice (4) Response

a.

Sample mean is more efficient estimator than the sample median. Since, Equation

b.

Sample median is more efficient estimator than the sample mean. Since, Equation

c.

Sample median is more efficient estimator. Since, Equation

d.

None of the above

Question number: 58

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Let Equation be a sample of size n = 3 from a distribution with mean Equation and variance Equation . Then Equation and Equation are

Choices

Choice (4) Response

a.

Only Equation is unbiased estimator

b.

Equation and Equation are biased estimators

c.

Equation and Equation are unbiased estimators

d.

None of the above

Question number: 59

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

The mean of a random sample Equation is always an unbiased estimate of the population mean μ. This statement is

Choices

Choice (4) Response

a.

True for all distributions

b.

False

c.

True only for binomial distribution

d.

All of the above

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