# Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 164 - 168 of 222

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## Question number: 164

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

Confidence intervals for the parameters , of the Normal distribution, when is known, is given by

### Choices

Choice (4) Response

a.

b.

c.

Both a. and b. are correct

d.

Question does not provide sufficient data or is vague

## Question number: 165

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

90 % Confidence Interval for if a sample of size 1029, where

and

### Choices

Choice (4) Response

a.

b.

c.

d.

All a. , b. and c. are correct

## Question number: 166

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

### Question

If is a statistics for a parameter of the density function and for i = 1, 2, …, n can be factorized as , Then is a ________

### Choices

Choice (4) Response

a.

Efficient Estimator

b.

Consistent Estimator

c.

Unbiased Estimator

d.

Sufficient Estimator

## Question number: 167

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

What is the value of used in a 93 % confidence interval?

### Choices

Choice (4) Response

a.

1.40

b.

2.48

c.

1.81

d.

1.96

## Question number: 168

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

The health organization wants to study the mean weight of the Indian women of the age group 30 - 40. A sample of forty woman of that age group is randomly selected and their weights in pounds are recorded.

 140 153 167 115 136 136 145 125 147 134 154 148 136 126 139 132 152 132 139 120 130 138 138 146 116 137 143 115 159 147 122 145 128 123 134 127 131 154 150 116

The calculated standard deviation is σ = 12.77. What can you interpret from the 90 % and 99 % confidence interval for the mean weight?

### Choices

Choice (4) Response

a.

The length of the 90 % confidence interval is more compared to 99 % interval

b.

The length of the 99 % confidence interval is more compared to 90 % interval

c.

None of the above

d.

Question does not provide sufficient data or is vague

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