ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 101 - 104 of 246

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Question number: 101

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

MCQ▾

Question

A sample of size n is drawn from each of the four a normal populations which have the same variance σ2 . the means of the four populations are +b+c , a+bc , ab+c and abc . The MLE of b is

Choices

Choice (4) Response

a.

b^=14(x¯1+x¯2x¯3x¯4)

b.

b^=12(x¯1+x¯2+x¯3+x¯4)

c.

b^=12(x¯1+x¯2+x¯3+x¯4)

d.

b^=14(x¯1x¯2x¯3x¯4)

Question number: 102

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

MCQ▾

Question

Let x1,x2,,xn be a random sample from the distribution with pdf

f(x,θ)=1θe(xθ) ; 0<x< , 0<θ< , the MLE of θ is

Choices

Choice (4) Response

a.

Doesnotexists

b.

θ^=1x¯

c.

θ^=x¯

d.

θ^=2x¯

Question number: 103

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

The credit of inventing the method of moments for estimating the parameters goes to

Choices

Choice (4) Response

a.

Cramer-Rao

b.

Karl Pearson

c.

R. A. Fisher

d.

Neyman

Question number: 104

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

It is given that x¯=1725.61 , n=18 and s=222.45 . Then the 95 % Confidence Interval for the population mean

Choices

Choice (4) Response

a.

1725.61 ± 222.45

b.

1725.61 ± 897.36

c.

18 ± 222.45

d.

1725.61 ± 110.69

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