ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 114 - 118 of 253

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Question 114

Question

MCQ▾

Suppose we want to estimate the mean amount of money spent by students on some project in a year. We have the following data of 10 randomly selected students. and calculated sample mean is 249 ₹ and standard deviation is 30 ₹ 95 % Confidence interval for is:

Choices

Choice (4)Response

a.

256.89±290.68

b.

c.

d.

Question 115

Question

MCQ▾

Let be a random sample from a density function . A statistics

is said to be sufficient statistics if the conditional distribution of given T

Choices

Choice (4)Response

a.

Independent of

b.

Dependent of

c.

Independent of S

d.

Dependent of

Question 116

Question

MCQ▾

Method of least squares consists of

Choices

Choice (4)Response

a.

Minimizing the sum of squares of residuals

b.

Maximizing the sum of squares of residuals

c.

Question does not provide sufficient data or is vague

d.

None of the above

Question 117

Question

MCQ▾

If a statistics is a sufficient statistics for a parameter of the density function , then the conditional distribution of is … of for any value of

Choices

Choice (4)Response

a.

Dependent

b.

Either dependent or Independent

c.

Independent

d.

All of the above

Question 118

Question

MCQ▾

is sufficient for if and only if the joint density function , of the sample values can be expressed in the form

where depends on and only through the value of and is independent of . This Theorem is known as

Choices

Choice (4)Response

a.

Factorization Theorem

b.

Blackwell Theorem

c.

Rao-Blackwell Theorem

d.

Cramer-Rao Theorem