# ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern): Questions 13 - 18 of 165

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## Question number: 13

» Statistical Methods » Dispersion and Skewness

Appeared in Year: 2010

### Describe in Detail

The first three moments of a distribution about the value 1 are 2, 25 and 80. Find its mean standard deviation and the moment-measure of skewness.

### Explanation

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## Question number: 14

» Probability » Standard Probability Distributions » Geometric

Appeared in Year: 2013

### Describe in Detail

Prove that for among the discrete distributions, the geometric distribution has the lack of memory property.

### Explanation

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## Question number: 15

» Statistical Methods » Non-Parametric Test » Sign

Appeared in Year: 2010

### Describe in Detail

Describe clearly sign test. State its asymptotic relative efficiency with respect to t-test.

### Explanation

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## Question number: 16

» Probability » Standard Probability Distributions » Normal

Appeared in Year: 2011

### Describe in Detail

Prove that the sum of two independent chi-squared random variables is also chi-squared.

### Explanation

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## Question number: 17

» Statistical Methods » Correlation Ratio

Appeared in Year: 2012

### Describe in Detail

Two persons Amal and Bimal come to the club at random points of time between 6 p. m. and 7 p. m. , and each stays for 10 minutes. What is the chance that they will meet?

### Explanation

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## Question number: 18

» Statistical Methods » Non-Parametric Test » Mann-Whitney

Appeared in Year: 2009

### Describe in Detail

wo drugs were given to two batches of 6 students. The numbers of days to get a complete cure are given below:

Durg A | 6 | 7 | 8 | 9 | 12 | 16 |

Durg B | 10 | 11 | 13 | 14 | 15 | 17 |

Using Mann-Whitney test decide whether the median days for cure by the two drugs are equal. (Table values of U - Statistic at 0·05 level are: U _{5, 5} = 2, U _{5, 6} = 3, and U _{6, 6} = 5. )

### Explanation

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