ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 108 - 111 of 246

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Question number: 108

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

It is given that x¯=37.7 , n=100 , s=9.2 . then 90 % Confidence Interval for μ is

Choices

Choice (4) Response

a.

[14.69, 17.71]

b.

37.7±1.513

c.

[3.6, 16.2]

d.

All of the above

Question number: 109

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

x¯±Zα2σn is the Confidence intervals for μ when …… and x¯±tα2sn is the Confidence intervals for μ when …. .

Choices

Choice (4) Response

a.

(n100) and (n<100)

b.

(n<30) and (n30)

c.

(n30) and (n<30)

d.

All of the above

Question number: 110

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

For a simple linear model Y=β0+β1X+ϵ , the estimated values of β0 and β1 by the method of least square will be

Choices

Choice (4) Response

a.

β^0=y¯bx¯ and β^1=xiyi(xi)(yi)nxi2(xi)2n

b.

β^0=y¯ and β^1=x¯

c.

β^0=y¯+bx¯ and β^1=xiyi+(xi)(yi)nxi2+(xi)2n

d.

β^0=y¯bx¯ and β^1=xiyixi2

Question number: 111

» Statistical Inference and Hypothesis Testing » Cramer-Rao Inequality

MCQ▾

Question

Regularity conditions of Cramer-Rao inequality are related to

Choices

Choice (4) Response

a.

Integrability of functions

b.

Neither (i) and (ii)

c.

Differentiability of functions

d.

Both a. and c. are correct

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