CK-12 Probability and Statistics - Advanced

12.2. The Rank Sum Test and Rank Correlation http://www.ck12.org

TABLE12.5:(continued)

Women Working Outside the Home Women Working Outside the Home

27 13

31 16

33 17

34 18

35 19

39 21

40 22

44 25

46 26

49 29

58 33

61 34

63 35

64 36

70 39

R= 408 R= 408

TABLE12.6:

Women Not Working Outside the Home Women Not Working Outside the Home

Score Rank

10 2

15 5

17 6

18 7

23 10

24 11

25 12

28 14

30 15

37 20

41 23

42 24

47 27

48 28

52 30

55 31

56 32

65 37

69 38

71 40

R= 412 R= 412

Do these two groups of women have significantly different views on the issue?

Solution:

Since each of our samples has 20 observations, we need to calculate the standardz-score to test the hypothesis that
these independent samples came from the same population. To calculate thez-score, we need to first calculate the