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Elan Coil [88]
4 years ago
15

A set of raw paired sample data is given below. Convert this raw data into paired ranks, and calculate the value of the rs test

statistic for this data. a. 0.647 b. 0.652 c. 0.955 d. 0.921
Mathematics
1 answer:
SOVA2 [1]4 years ago
5 0

here is the data set for the complete question

x: 18 21 19 21 20 21

y; 2 14 5 6 18 18

Answer:

B. 0.652

Step-by-step explanation:

x   y   rank of x     rank of y   d         d²

18   2     1                1               0          0

21   14    4                4             0          0

19    5     2               2             0          0

21    6     4               3            1            1

20    18    3             5.5         -2.5      6.25

21     18    4             5.5          -1.5       2.25

∑d² = 8.5

rs = 1 - 6[∑di² + ∑m(m²-1)]/n(n²-1)

= 1 - 6[8.5 +{3(3²-10/12 + 2(2² - 1)/12}]/6(6²-1)

= 1 - 0.348

= 0.652

therefore option b is the right answer.

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