ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 185 - 188 of 246

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 246 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

Question number: 185

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

A Minimum Variance Unbiased Estimator T1 is said to be unique if for any other estimator T2 ,

Choices

Choice (4) Response

a.

VAR(T1)VAR(T2)

b.

VAR(T1)VAR(T2)

c.

Neither (i) nor (ii)

d.

Question does not provide sufficient data or is vague

Question number: 186

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Given the probability statement that P(4.35θ15.67)=0.90

Which of the following statement is correct in respect of given probability statement?

Choices

Choice (4) Response

a.

The confidence interval is 11.32

b.

4.35 and 15.67 are 90 percent confidence limits

c.

Probability that θ lies in the interval 4.35 and 15.67 is 0.90

d.

All a. , b. and c. are correct

Question number: 187

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Suppose we wish to estimate the average height of the tigers in India. We take a sample of 130 tigers and measure their heights. The mean height is 98.249 cms. The calculated standard deviation is σ=0.064 cms, then the confidence interval for the population mean at 90 % confidence limit is

Choices

Choice (4) Response

a.

[100.86, 100.90]

b.

[100.86, 102.78]

c.

[100.01, 102.63]

d.

[98.14, 98.35]

Question number: 188

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

(1α)100% Confidence intervals for the parameters σ2 , of the Normal distribution f(x;μ,σ2)=1σπexp[12(xμσ)2],<x< , when μ is known, is given by

Choices

Choice (4) Response

a.

P[ns2χ2(α/2)σ2ns2χ21(α/2)]=1α

b.

P[χ21(α/2)ns2σ2χ2(α/2)]=1α

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

Sign In