# 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 . This means

### Choices

Choice (4) Response

a.

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

all

### Choices

Choice (4) Response

a.

for all

b.

for all

c.

for all

d.

for all

## 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.

and

b.

and

c.

and

d.

All of the above

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