# Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 18 - 20 of 73

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## Question number: 18

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

The Government conducts national survey to study about the home gardening.

A random sample of 250 households is taken which have vegetable gardens. The average size of their gardens is 643 square feet. The calculated standard deviation is σ = 247 square feet. How can you interpret the result at 90 % for confidence interval?

### Choices

Choice (4) Response

a.

Probability that mean size of household vegetable gardens lies in the interval 617.31 and 668.69 is 0.90

b.

617.31 and 668.69 are 90 percent confidence limits

c.

The length of the confidence interval is 51.38

d.

All a. , b. and c. are correct

## Question number: 19

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

A car manufacturing company wants to estimate the mean amount of time a worker takes to assemble the tyres. He considers a sample of 120 workers and calculated mean is 16.2 minutes. Suppose the population standard deviation is 3.6 minutes then 92 % confidence interval is given by:

### Choices

Choice (4) Response

a.

b.

c.

Question does not provide sufficient data or is vague

d.

None of the above

## Question number: 20

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

It is given that sample mean is 127.3, standard deviation is 19 and sample size is 3534. Then the 95 % confidence Interval is

### Choices

Choice (4) Response

a.

b.

c.

d.

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