21. Five soldiers visit a rifle range for two consecutive weeks and their scores were recorded as follows:

The appropriate test that should be applied to test if there is any significant difference in their

performance based on scores is:

(a) Z‐ test for difference of means

(b) t ‐test for difference of means with equal variances

(c) Paired t‐test

(d) t ‐test for difference of means with unequal variances

**Answer: (c)**

22. The median of the distribution given below is 14.4.

If the total frequency is 20, then the values of x and y respectively are:

(a) 2, 4

(b) 3, 4

(c) 4, 6

(d) 5, 6

(a) 2, 4

(b) 3, 4

(c) 4, 6

(d) 5, 6

**Answer: (c)**

23. The following data give the mean and variance of the wages of the men working in three firms A, B and C:

(a) A

(b) B

(c) C

(d) Cannot be determined

(b) B

(c) C

(d) Cannot be determined

**Answer: (c)**

24.

(a) Y = 3.2X + 58

(b) X = 3.2Y + 58

(c) X = 0.2Y - 8

(d) Y = 0.2X - 8

(b) X = 3.2Y + 58

(c) X = 0.2Y - 8

(d) Y = 0.2X - 8

**Answer: (a)**

25.

(a) 3 and 13

(b) 2.5 and 3

(c) 13 and 2.5

(d) 2.5 and 13

(b) 2.5 and 3

(c) 13 and 2.5

(d) 2.5 and 13

**Answer: (d)**

26. The following data are given for two series:

The value of variance of combined series is:

(a) 14

(b) 16

(c) 17

(d) 19

The value of variance of combined series is:

(a) 14

(b) 16

(c) 17

(d) 19

**Answer: (d)**

27.

The first three moments about origin of a frequency distribution are

The first three moments about origin of a frequency distribution are

(a) Negatively skewed

(b) Symmetric

(c) Positively skewed

(d) Cannot be determined from the data

(b) Symmetric

(c) Positively skewed

(d) Cannot be determined from the data

**Answer: (b)**

28.

Then the value of Karl Pearson’s correlation coefficient is:

(a) 0.4

(b) 0.5

(c) 0.6

(d) 0.7

(a) 0.4

(b) 0.5

(c) 0.6

(d) 0.7

**Answer: (c)**

29. For a continuous frequency distribution, consider the following statements:

1. Median can be located graphically using less than cumulative frequency curve.

2. Mode can be located graphically using the histogram.

1. Median can be located graphically using less than cumulative frequency curve.

2. Mode can be located graphically using the histogram.

Which of the above is/are correct?

(a) 1 only

(b) 2 only

(c) Both 1 and 2

(d) Neither 1 nor 2

(a) 1 only

(b) 2 only

(c) Both 1 and 2

(d) Neither 1 nor 2

**Answer: (c)**

30. If Y = 3.2X + 58 and X = 0.2Y ‐ 8 are the lines of regression of Y on X and X on Y respectively, then the value of correlation coefficient between X and Y is:

(a) 0.6

(b) 0.7

(c) 0.8

(d) 0.9

(a) 0.6

(b) 0.7

(c) 0.8

(d) 0.9

**Answer: (c)**

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