ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern): Questions 113 - 115 of 165

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Question number: 113

» Statistical Methods » Tests of Significance » Z-Test

Appeared in Year: 2012

Essay Question▾

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125out of 285 college-going male students in 1995 from a city were found to be smokers. Another sample of 325 such students from the same city in 2012 included 95 smokers. Examine at 5 % level of significance if smoking habit among college-going students is on the decrease in this city.

Explanation

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Question number: 114

» Probability » Standard Probability Distributions » Normal

Appeared in Year: 2014

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If f x (x) be the probability density function of a N (µ, σ 2) distribution, then show that

where , and φ (x) and Φ (x) are the probability density function and distribution function of the standard normal distribution respectively.

Explanation

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Question number: 115

» Statistical Methods » Non-Parametric Test » Wilcoxon

Appeared in Year: 2012

Essay Question▾

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Ten short-distance runners were put to a rigorous training for two months. Times taken by them to clear 100 metres before and after the training were as follows:

Sl. no. of runner

1

2

3

4

5

6

7

8

9

10

Time (in sec)

before

training

10.6

10.9

10.1

10.5

11.0

11.2

10.7

10.2

10.9

10.6

Time (in sec)

after

training

10.1

10.7

9.9

10.0

11.1

10.9

10.6

10.3

10.5

10.8

Use Wilcoxon’s paired sample signed rank test to examine at 1 % level if the training was at all effective. (The critical value of Wilcoxon’s statistic at 1 % level of significance for n = 10 is 5)

Explanation

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