Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 153 - 155 of 222

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Question number: 153

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

A 95 % confidence interval is shown as Equation . This means

Choices

Choice (4) Response

a.

Probability that Equation lies in the interval 60.84 and 96.5 is 0.95

b.

The length of the confidence interval is 35.66

c.

60.84 and 96.5 are 95 percent confidence limits

d.

All a. , b. and c. are correct

Question number: 154

» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators

MCQ▾

Question

If Equation is an MVU estimator of Equation for all Equation and Equation is any other unbiased estimator of Equation with efficiency Equation , then the correlation coefficient between Equation is given by

Equation all Equation

Choices

Choice (4) Response

a.

Equation for all Equation

b.

Equation for all Equation

c.

Equation Equation for all Equation

d.

Equation for all Equation

Question number: 155

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

In a college survey, children were asked how many hours they study per day. A sample of 22 children is collected. The mean was 3.25 hours with a standard deviation of 1.57 hours. Then 95 % and 99 % confidence interval for the number of hours of study per day is

Choices

Choice (4) Response

a.

Equation and Equation

b.

Equation and Equation

c.

Equation and Equation

d.

All of the above

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