Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 186 - 189 of 222

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Question number: 186

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If a most efficient estimator A and a less efficient estimator B with efficiency e tend to joint normality for large samples, (BA) has ________ correlation with A

Choices

Choice (4) Response

a.

No correlation

b.

Zero

c.

Negative

d.

Question does not provide sufficient data or is vague

Question number: 187

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Suppose we have =10 , x¯=249 , s=30 Then to compute 95 % confidence for μ which critical point is used?

Choices

Choice (4) Response

a.

tα,(n1)=t0.025,9

b.

tα,(n1)=t0.025,10

c.

zα=z0.025α

d.

zα=z0.05

Question number: 188

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

An estimator is efficient, if its variance is________ the variance of any other estimator.

Choices

Choice (4) Response

a.

More than

b.

Similar to

c.

Less than

d.

Either b or c

Question number: 189

» 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 95 % confidence limit is

Choices

Choice (4) Response

a.

[98.124, 98.374]

b.

[102.1, 102.78]

c.

[100.86, 100.90]

d.

[101.86, 102.78]

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