Brand A 42 39 50 46 49 32 37 42 38 Brand B 29 31 40 33 34 40

Brand A	42	39	50	46	49	32	37	42	38
Brand B	29	31	40	33	34	40	36	43	35

Solution

Sample

Value

Rank

Brand B

29

1

Brand B

31

2

Brand A

32

3

Brand B

33

4

Brand B

34

5

Brand B

35

6

Brand B

36

7

Brand A

37

8

Brand A

38

9

Brand A

39

10

Brand B

40

11.5

Brand B

40

11.5

Brand A

42

13.5

Brand A

42

13.5

Brand B

43

15

Brand A

46

16

Brand A

49

17

Brand A

50

18

Level of Significance

0.05

Population 1 Sample

Sample Size

9

Sum of Ranks

108

Population 2 Sample

Sample Size

9

Sum of Ranks

63

Total Sample Size n

18

T1 Test Statistic

108

T1 Mean

85.5

Standard Error of T1=sqrt(9*9*(18+1)/12)) =

11.3248

Z Test Statistic=(108-85.5)/11.3248 )         =

1.98

Upper-Tail Test

Upper Critical Value

1.645

p-Value

0.0239

Reject the null hypothesis

We conclude Brand A of bicycle is faster than the Brand B

Sample	Value	Rank
Brand B	29	1
Brand B	31	2
Brand A	32	3
Brand B	33	4
Brand B	34	5
Brand B	35	6
Brand B	36	7
Brand A	37	8
Brand A	38	9
Brand A	39	10
Brand B	40	11.5
Brand B	40	11.5
Brand A	42	13.5
Brand A	42	13.5
Brand B	43	15
Brand A	46	16
Brand A	49	17
Brand A	50	18