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(Solution Download) 8.18 The following table gives tensile strengths (in deviations from 340) for wires taken from...

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8.18    The following table gives tensile strengths (in deviations from 340) for wires taken from nine cables to be used for a high-voltage network. Each cable is made from 12 wires. We want to know whether the mean strengths of the wires in the nine cables are the same. If the cables are di?erent, which ones di?er? Use a P-value in your analysis of variance.

Cable                           Tensile Strength                           

1        5 ?13   ?5   ?2 ?10   ?6   ?5     0 ?3    2   ?7   ?5

2   ?11 ?13   ?8      8   ?3 ?12 ?12 ?10    5 ?6 ?12 ?10

3        0 ?10 ?15 ?12   ?2   ?8   ?5     0 ?4 ?1   ?5 ?11

4  ?12      4      2    10   ?5   ?8 ?12      0 ?5 ?3   ?3      0

5        7      1      5      0   10      6      5      2    0 ?1 ?10   ?2

6        1      0   ?5   ?4  ?1     0      2      5    1 ?2      6      7

7     ?1       0      2      1  ?4      2      7      5    1    0   ?4      2

8     ?1       0      7      5   10      8      1      2 ?3    6      0      5

9        2      6      7      8    15    11  ?7     7  10    7      8      1

(From A. Hald, Statistical Theory with Engineering Applications, John Wiley & Sons, New York,  1952)

 

8.19    It is suspected that the environmental tempera- ture at which batteries are activated a?ects their life. Thirty homogeneous batteries were tested, six at each of ?ve temperatures, and the data are shown below (activated life in seconds). Analyze and interpret the data.

Temperature (?C)

    0      25    50    75    100          

55     60     70     72       65

55

61

72

72

66

57

60

72

72

60

54

60

68

70

64

54

60

77

68

65

56

60

77

69

65

(From  Hicks and Turner, 1999.)

 

 







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