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Exam Details

2020 Statistics Paper - I

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Questions 80
Duration 180 mins
Package National Defence Academy and Naval Academy Examination (I) & (II) - Previous Year Papers

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Showing all 80 questions in this paper.

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Difficulty distribution

Easy 27 33.8%
Medium 27 33.8%
Hard 26 32.5%

Question type distribution

Multiple Choices 80 100%

Syllabus

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Sample questions from this paper

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1
2020 · Unclassified
2020 Statistics Paper - I
The value of the Kolmogorov-Smirnov statistic to test whether the observations 0·32, 0·16, 0·98, 0·16 and 0·08 arise from a U(0, 2) population is
A
0·16
B
0·52
C
0·64
D
0·76
2
2020 · Unclassified
2020 Statistics Paper - I
Given the following contingency table : Material Number A B C D E Total Leaked 36 22 X1 X2 42 200 Not leaked 90 Y 46 78 168 400 It is known that column total for material C and D are same. Then values of X1, X2 and Y are respectively [IMAGE]
A
66, 34, 18
B
34, 66, 18
C
70, 30, 20
D
30, 70, 20
3
2020 · Unclassified
2020 Statistics Paper - I
In a clinical trial, n randomly chosen persons were enrolled to examine whether two different skin creams, A and B, have different effects on the human body. Cream A was applied to one of the randomly chosen arms of each person, cream B to the other arm. Which statistical test is to be used to examine the difference? [Assume that the response measured is a continuous variable]
A
Two-sample Kolmogorov - Smirnov test
B
Two-sample t-test if normality can be assumed
C
Paired t-test if normality can be assumed
D
Test for randomness
4
2020 · Unclassified
2020 Statistics Paper - I
If X ~ F(5, 10), then consider the following statements : 1. E(X) > 1 2. Mode of X > 1 Which of the above results is/are correct ?
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
5
2020 · Unclassified
2020 Statistics Paper - I
In 30 tosses of a coin, the following sequence of heads (H) and tails (T) is obtained as H T T H T H H H T H H T T H T H T H H T H T T H T H T. The number of runs is
A
30
B
22
C
20
D
28
6
2020 · Unclassified
2020 Statistics Paper - I
A manufacturer claims that the lifetime of its product is more than 250 hours. To verify its claim based on 24 randomly observed lifetimes, which one of the following tests can be used ?
A
Sign test
B
Mann - Whitney U test
C
Median test
D
Kolmogorov - Smirnov test