# Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 55 - 59 of 73

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## Question number: 55

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

Suppose we have , , Then to compute 95 % confidence for which critical point is used?

### Choices

Choice (4) Response

a.

b.

c.

zα=z0.025α

d.

## Question number: 56

» 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 cms, then the confidence interval for the population mean at 95 % confidence limit is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 57

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

Suppose we want to estimate the average weight of cow in India. We draw a random sample of 1,000 cows and weigh them. The mean was 180 pounds with a standard deviation of 30 pounds. What is the 95 % confidence interval?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 58

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

The interval within which the unknown value of the population parameter is expected to lie is called as the________

### Choices

Choice (4) Response

a.

Normal interval

b.

Confidence Interval

c.

Probability interval

d.

All of the above

## Question number: 59

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

### Question

According to a water supply company, the mean water bill per year in 2010 is 1500 Rs. And he wants to estimate the amount of water bill per year in 2016. He takes a random sample of 18 households and obtains the following amounts, (in Rs) for the year 2016 of water bill. It is given that

 1608 1875 1264 1794 1478 1999 1828 2206 1798 1794 1738 1740 1598 1486 1830 1568 1941 1516

how can you interpret the answer if you compute 95 % confidence interval of the mean water bill?

### Choices

Choice (4) Response

a.

It appears that the mean annual water bill has increased from 2010 to 2016

b.

It appears that there is no change in the mean annual water bill from 2010 to 2016

c.

It appears that the mean annual water bill has decreased from 2010 to 2016

d.

All of the above

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