# Statistical Methods (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 55 - 60 of 72

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## Question number: 55

» Statistical Methods » Correlation Coefficient » Multiple Correlation

Appeared in Year: 2010

Essay Question▾

### Describe in Detail

Let (X, Y) be jointly distributed with density function

Obtain correlation coefficient between X and Y

### Explanation

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## Question number: 56

» Statistical Methods » Non-Parametric Test » Sign

Appeared in Year: 2011

Essay Question▾

### Describe in Detail

Let the temperature before and after administration of aspirin be

 Patient Before After 1 100·0 98·1 2 102·1 97·2 3 100·6 98·6 4 100·1 99·1 5 101·5 97·6 6 102 98·6 7 99·9 98·2 8 102·7 98·1 9 100.40 98·2 10 100·8 97.1

Test by the sign test; whether aspirin is effective in reducing temperature. What is the p-value of the calculated statistic?

### Explanation

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## Question number: 57

» Statistical Methods » Bivariate Distributions » Bivariate Normal Distribution

Appeared in Year: 2010

Essay Question▾

### Describe in Detail

Show that for discrete distribution β 2 > 1

### Explanation

… (49 more words) …

## Question number: 58

» Statistical Methods » Tests of Significance » Z-Test

Appeared in Year: 2010

Essay Question▾

### Describe in Detail

How large a sample must be taken in order that the probability will be at least 0·95 that X n will be within 0·5 of µ (µ is unknown and σ = l).

### Explanation

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## Question number: 59

» Statistical Methods » Measures of Location

Appeared in Year: 2013

Essay Question▾

### Describe in Detail

Find the weighted arithmetic mean of the first ‘n’ natural numbers, the weights being the corresponding numbers.

### Explanation

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## Question number: 60

» Statistical Methods » Tests of Significance » T-Test

Appeared in Year: 2015

Essay Question▾

### Describe in Detail

Let X 1, X 2, …, X 12 be a random sample from a normal N (µ 1, σ 12) and Y 1, Y 2, …Y 10 be another random sample from normal N (µ 2, σ 22), independently to each other. Carry out an appropriate test for testing

at 5 % level of significance. It is given that .

### Explanation

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