Statistical Methods (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 24 - 28 of 72

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Question number: 24

» Statistical Methods » Measures of Location

Appeared in Year: 2010

Essay Question▾

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Show that for any discrete distribution, standard deviation is not less than mean deviation from mean.

Explanation

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Question number: 25

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

Appeared in Year: 2014

Essay Question▾

Describe in Detail

Consider two samples as follows:

Sample 1: 1, 4, 7, 9, 16, 17, 22, 24

Sample 2: 2, 6, 10, 12, 18, 20, 26, 28, 32

Test whether the examples have come from the same population by Wilcoxon-Mann-Whitney test. [Given value of Z for α = 0·05 = 1·645, where Z is N (0, 1) ]

Explanation

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Question number: 26

» Statistical Methods » Correlation Ratio

Appeared in Year: 2012

Essay Question▾

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Scores in a UPSC examination in Statistics Paper-I and Paper-II awarded to10 candidates were as under:

Candidate

A

B

C

D

E

F

G

H

I

J

Score in Paper- I

91

65

80

120

80

140

105

80

42

72

Score in

Paper-II

86

38

75

135

85

135

94

101

45

65

Calculate Spearman’s rank correlation coefficient between the scores in the two papers.

Explanation

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Question number: 27

» Statistical Methods » Order Statistics » Maximum

Appeared in Year: 2014

Essay Question▾

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Let X 1, X 2, …, X n be n independently identically distributed random variables following an exponential distribution with mean parameter θ. Obtain the distributions of (i) Maximum (X 1, X 2, …, X n); (ii) Minimum (X 1, X 2, …, X n) and (iii) Median for n = 2m + 1, (m > 0)

Explanation

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Question number: 28

» Statistical Methods » Non-Parametric Test » Wilcoxon

Appeared in Year: 2010

Essay Question▾

Describe in Detail

The following data represent lifetimes (hours) of batteries for two different brands:

Brand A

40

30

40

45

55

30

Brand B:

50

50

45

55

60

40

Test whether two brands are the same.

Explanation

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