ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 157 - 159 of 246

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Question number: 157

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

Suppose T1andT2 are the unbiased estimators of γ(θ) with Efficiencies e1 and e2 respectively. and ρ=ρθ is the correlation coefficient between them. Then

Choices

Choice (4) Response
a.

e1e2(1e1)(1e2)ρe1e2+(1e1)(1e2)

b.

e1e2(1+e1)(1+e2)ρe1e2+(1+e1)(1+e2)

c.

e1e2+(1e1)(1e2)ρe1e2(1e1)(1e2)

d.

e1(1e1)ρe2+(1e2)

Question number: 158

» Statistical Inference and Hypothesis Testing » Simple and Composite Hypotheses

MCQ▾

Question

The hypothesis H0:μ=μ0,σ2=σ20 is known as

Choices

Choice (4) Response
a.

The hypothesis H0:μ=μ0,σ2=σ20 is known as Composite Hypothesis

b.

Simple Hypothesis

c.

Null Hypothesis

d.

Alternative Hypothesis

Question number: 159

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

The Indian Government wants the information of children per family. It takes a random sample of 40 families and the numbers of children in the selected families are

Readings of the random sample by Indian Government

What are the readings of the family?

1

2

1

2

1

1

1

1

5

4

3

4

1

0

1

2

1

0

3

0

0

0

2

2

5

3

1

0

8

1

0

1

2

1

1

5

2

1

2

3

Calculated standard deviation is σ = 1.95. Obtain the 90 % confidence interval for the mean number of children per family in India

Choices

Choice (4) Response
a.

[1.34, 3.35]

b.

[1.34, 2.35]

c.

[0.95, 2.35]

d.

[0, 2.35]

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